Stochastic gravity: A primer with applications

Classical and Quantum Gravity

Volumn 20, Issue 6, 2003, Pages

  Hu, B L ^a   Verdaguer, E ^b  

^a University of Maryland   (United States)

^b UNIVERSITY OF BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037278775     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/20/6/201     Document Type: Review

References (284)

1. Hu B L 1999 Int. J. Theor. Phys. 38 2987 (Preprint gr-qc/9902064)
2. Hu B L and Verdaguer E 2002 Recent advances in stochastic gravity: theory and issues Advances in the Interplay between Quantum and Gravity Physics, 2001 Erice Lectures ed V De Sabbata (Dordrecht: Kluwer) (Preprint gr-qc/0110092)
3. Hu B L and Verdaguer E 2003 Stochastic gravity: theory, issues and applications Living Rev. Rel. in preparation
4. DeWitt B S 1975 Phys. Rep. C 19 295
5. Birrell N D and Davies P C W 1982 Quantum Fields in Curved Space (Cambridge: Cambridge University Press)
6. Fulling S A 1989 Aspects of Quantum Field Theory in Curved Spacetime (Cambridge: Cambridge University Press)
7. Wald R M 1994 Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics (Cambridge: Cambridge University Press)
8. Grib A A, Mamayev S G and Mostepanenko V M 1994 Vacuum Quantum Effects in Strong Fields (St Petersburg: Friedmann Laboratory Publishing)
9. Parker L 1969 Phys. Rev. 183 1057 Sexl R U and Ubantke H K 1969 Phys. Rev. 179 1247 Zeldovich Ya B 1970 Zh. Eksp. Teor. Fiz. Pis'ma Red. 12 443 (Engl. Transl. 1970 JETP Lett. 12 307) Zel'dovich Y B and Starobinsky A A 1971 Zh. Eksp. Teor. Fiz. 61 2161 (Engl. Transl. 1971 Sov. Phys.-JETP 34 1159) Hu B L 1974 Phys. Rev. D 9 3263 Berger B 1974 Ann. Phys., NY 83 458 Berger B 1975 Phys. Rev. D 11 2770 Berger B 1975 Phys. Rev. D 12 368
10. Parker L 1969 Phys. Rev. 183 1057 Sexl R U and Ubantke H K 1969 Phys. Rev. 179 1247 Zeldovich Ya B 1970 Zh. Eksp. Teor. Fiz. Pis'ma Red. 12 443 (Engl. Transl. 1970 JETP Lett. 12 307) Zel'dovich Y B and Starobinsky A A 1971 Zh. Eksp. Teor. Fiz. 61 2161 (Engl. Transl. 1971 Sov. Phys.-JETP 34 1159) Hu B L 1974 Phys. Rev. D 9 3263 Berger B 1974 Ann. Phys., NY 83 458 Berger B 1975 Phys. Rev. D 11 2770 Berger B 1975 Phys. Rev. D 12 368
11. Parker L 1969 Phys. Rev. 183 1057 Sexl R U and Ubantke H K 1969 Phys. Rev. 179 1247 Zeldovich Ya B 1970 Zh. Eksp. Teor. Fiz. Pis'ma Red. 12 443 (Engl. Transl. 1970 JETP Lett. 12 307) Zel'dovich Y B and Starobinsky A A 1971 Zh. Eksp. Teor. Fiz. 61 2161 (Engl. Transl. 1971 Sov. Phys.-JETP 34 1159) Hu B L 1974 Phys. Rev. D 9 3263 Berger B 1974 Ann. Phys., NY 83 458 Berger B 1975 Phys. Rev. D 11 2770 Berger B 1975 Phys. Rev. D 12 368
12. Parker L 1969 Phys. Rev. 183 1057 Sexl R U and Ubantke H K 1969 Phys. Rev. 179 1247 Zeldovich Ya B 1970 Zh. Eksp. Teor. Fiz. Pis'ma Red. 12 443 (Engl. Transl. 1970 JETP Lett. 12 307) Zel'dovich Y B and Starobinsky A A 1971 Zh. Eksp. Teor. Fiz. 61 2161 (Engl. Transl. 1971 Sov. Phys.-JETP 34 1159) Hu B L 1974 Phys. Rev. D 9 3263 Berger B 1974 Ann. Phys., NY 83 458 Berger B 1975 Phys. Rev. D 11 2770 Berger B 1975 Phys. Rev. D 12 368
13. Parker L 1969 Phys. Rev. 183 1057 Sexl R U and Ubantke H K 1969 Phys. Rev. 179 1247 Zeldovich Ya B 1970 Zh. Eksp. Teor. Fiz. Pis'ma Red. 12 443 (Engl. Transl. 1970 JETP Lett. 12 307) Zel'dovich Y B and Starobinsky A A 1971 Zh. Eksp. Teor. Fiz. 61 2161 (Engl. Transl. 1971 Sov. Phys.-JETP 34 1159) Hu B L 1974 Phys. Rev. D 9 3263 Berger B 1974 Ann. Phys., NY 83 458 Berger B 1975 Phys. Rev. D 11 2770 Berger B 1975 Phys. Rev. D 12 368
14. Parker L 1969 Phys. Rev. 183 1057 Sexl R U and Ubantke H K 1969 Phys. Rev. 179 1247 Zeldovich Ya B 1970 Zh. Eksp. Teor. Fiz. Pis'ma Red. 12 443 (Engl. Transl. 1970 JETP Lett. 12 307) Zel'dovich Y B and Starobinsky A A 1971 Zh. Eksp. Teor. Fiz. 61 2161 (Engl. Transl. 1971 Sov. Phys.-JETP 34 1159) Hu B L 1974 Phys. Rev. D 9 3263 Berger B 1974 Ann. Phys., NY 83 458 Berger B 1975 Phys. Rev. D 11 2770 Berger B 1975 Phys. Rev. D 12 368
15. Parker L 1969 Phys. Rev. 183 1057 Sexl R U and Ubantke H K 1969 Phys. Rev. 179 1247 Zeldovich Ya B 1970 Zh. Eksp. Teor. Fiz. Pis'ma Red. 12 443 (Engl. Transl. 1970 JETP Lett. 12 307) Zel'dovich Y B and Starobinsky A A 1971 Zh. Eksp. Teor. Fiz. 61 2161 (Engl. Transl. 1971 Sov. Phys.-JETP 34 1159) Hu B L 1974 Phys. Rev. D 9 3263 Berger B 1974 Ann. Phys., NY 83 458 Berger B 1975 Phys. Rev. D 11 2770 Berger B 1975 Phys. Rev. D 12 368
16. Parker L 1969 Phys. Rev. 183 1057 Sexl R U and Ubantke H K 1969 Phys. Rev. 179 1247 Zeldovich Ya B 1970 Zh. Eksp. Teor. Fiz. Pis'ma Red. 12 443 (Engl. Transl. 1970 JETP Lett. 12 307) Zel'dovich Y B and Starobinsky A A 1971 Zh. Eksp. Teor. Fiz. 61 2161 (Engl. Transl. 1971 Sov. Phys.-JETP 34 1159) Hu B L 1974 Phys. Rev. D 9 3263 Berger B 1974 Ann. Phys., NY 83 458 Berger B 1975 Phys. Rev. D 11 2770 Berger B 1975 Phys. Rev. D 12 368
17. Parker L 1969 Phys. Rev. 183 1057 Sexl R U and Ubantke H K 1969 Phys. Rev. 179 1247 Zeldovich Ya B 1970 Zh. Eksp. Teor. Fiz. Pis'ma Red. 12 443 (Engl. Transl. 1970 JETP Lett. 12 307) Zel'dovich Y B and Starobinsky A A 1971 Zh. Eksp. Teor. Fiz. 61 2161 (Engl. Transl. 1971 Sov. Phys.-JETP 34 1159) Hu B L 1974 Phys. Rev. D 9 3263 Berger B 1974 Ann. Phys., NY 83 458 Berger B 1975 Phys. Rev. D 11 2770 Berger B 1975 Phys. Rev. D 12 368
18. Parker L 1969 Phys. Rev. 183 1057 Sexl R U and Ubantke H K 1969 Phys. Rev. 179 1247 Zeldovich Ya B 1970 Zh. Eksp. Teor. Fiz. Pis'ma Red. 12 443 (Engl. Transl. 1970 JETP Lett. 12 307) Zel'dovich Y B and Starobinsky A A 1971 Zh. Eksp. Teor. Fiz. 61 2161 (Engl. Transl. 1971 Sov. Phys.-JETP 34 1159) Hu B L 1974 Phys. Rev. D 9 3263 Berger B 1974 Ann. Phys., NY 83 458 Berger B 1975 Phys. Rev. D 11 2770 Berger B 1975 Phys. Rev. D 12 368
19. Hawking S W 1974 Nature 248 30 Hawking S W 1975 Commun. Math. Phys. 43 199
20. Hawking S W 1974 Nature 248 30 Hawking S W 1975 Commun. Math. Phys. 43 199
21. Israel W 1975 Phys. Lett. A 57 107 Parker L 1975 Phys. Rev. D 12 1519 Wald R M 1975 Commun. Math. Phys. 45 9
22. Israel W 1975 Phys. Lett. A 57 107 Parker L 1975 Phys. Rev. D 12 1519 Wald R M 1975 Commun. Math. Phys. 45 9
23. Israel W 1975 Phys. Lett. A 57 107 Parker L 1975 Phys. Rev. D 12 1519 Wald R M 1975 Commun. Math. Phys. 45 9
24. DeWitt B S 1975 Relativity, Groups and Topology ed B S DeWitt and C DeWitt (New York: Gordon and Breach) Christensen S M 1976 Phys. Rev. D 14 2490 Christensen S M 1978 Phys. Rev. D 17 946
25. DeWitt B S 1975 Relativity, Groups and Topology ed B S DeWitt and C DeWitt (New York: Gordon and Breach) Christensen S M 1976 Phys. Rev. D 14 2490 Christensen S M 1978 Phys. Rev. D 17 946
26. DeWitt B S 1975 Relativity, Groups and Topology ed B S DeWitt and C DeWitt (New York: Gordon and Breach) Christensen S M 1976 Phys. Rev. D 14 2490 Christensen S M 1978 Phys. Rev. D 17 946
27. Wald R M 1977 Commun. Math. Phys. 54 1
28. Wald R M 1977 Phys. Rev. D 17 1477
29. Lukash V N and Starobinsky A A 1974 Sov. Phys.-JETP 39 742 Grishchuk L 1976 Ann. New York Acad. Sci. 302 439 Hu B L and Parker L 1977 Phys. Lett. A 63 217 Hu B L and Parker L 1978 Phys. Rev. D 17 933 Hartle J B 1981 Phys. Rev. D 23 2121 Anderson P A 1983 Phys. Rev. D 28 271 Anderson P A 1984 Phys. Rev. D 29 615
30. Lukash V N and Starobinsky A A 1974 Sov. Phys.-JETP 39 742 Grishchuk L 1976 Ann. New York Acad. Sci. 302 439 Hu B L and Parker L 1977 Phys. Lett. A 63 217 Hu B L and Parker L 1978 Phys. Rev. D 17 933 Hartle J B 1981 Phys. Rev. D 23 2121 Anderson P A 1983 Phys. Rev. D 28 271 Anderson P A 1984 Phys. Rev. D 29 615
31. Lukash V N and Starobinsky A A 1974 Sov. Phys.-JETP 39 742 Grishchuk L 1976 Ann. New York Acad. Sci. 302 439 Hu B L and Parker L 1977 Phys. Lett. A 63 217 Hu B L and Parker L 1978 Phys. Rev. D 17 933 Hartle J B 1981 Phys. Rev. D 23 2121 Anderson P A 1983 Phys. Rev. D 28 271 Anderson P A 1984 Phys. Rev. D 29 615
32. Lukash V N and Starobinsky A A 1974 Sov. Phys.-JETP 39 742 Grishchuk L 1976 Ann. New York Acad. Sci. 302 439 Hu B L and Parker L 1977 Phys. Lett. A 63 217 Hu B L and Parker L 1978 Phys. Rev. D 17 933 Hartle J B 1981 Phys. Rev. D 23 2121 Anderson P A 1983 Phys. Rev. D 28 271 Anderson P A 1984 Phys. Rev. D 29 615
33. Lukash V N and Starobinsky A A 1974 Sov. Phys.-JETP 39 742 Grishchuk L 1976 Ann. New York Acad. Sci. 302 439 Hu B L and Parker L 1977 Phys. Lett. A 63 217 Hu B L and Parker L 1978 Phys. Rev. D 17 933 Hartle J B 1981 Phys. Rev. D 23 2121 Anderson P A 1983 Phys. Rev. D 28 271 Anderson P A 1984 Phys. Rev. D 29 615
34. Lukash V N and Starobinsky A A 1974 Sov. Phys.-JETP 39 742 Grishchuk L 1976 Ann. New York Acad. Sci. 302 439 Hu B L and Parker L 1977 Phys. Lett. A 63 217 Hu B L and Parker L 1978 Phys. Rev. D 17 933 Hartle J B 1981 Phys. Rev. D 23 2121 Anderson P A 1983 Phys. Rev. D 28 271 Anderson P A 1984 Phys. Rev. D 29 615
35. Lukash V N and Starobinsky A A 1974 Sov. Phys.-JETP 39 742 Grishchuk L 1976 Ann. New York Acad. Sci. 302 439 Hu B L and Parker L 1977 Phys. Lett. A 63 217 Hu B L and Parker L 1978 Phys. Rev. D 17 933 Hartle J B 1981 Phys. Rev. D 23 2121 Anderson P A 1983 Phys. Rev. D 28 271 Anderson P A 1984 Phys. Rev. D 29 615
36. Hartle J B 1977 Phys. Rev. Lett. 39 1373 Fischetti M, Hartle J B and Hu B L 1979 Phys. Rev. D 20 1757 Hartle J B and Hu B L 1979 Phys. Rev. D 20 1772
37. Hartle J B 1977 Phys. Rev. Lett. 39 1373 Fischetti M, Hartle J B and Hu B L 1979 Phys. Rev. D 20 1757 Hartle J B and Hu B L 1979 Phys. Rev. D 20 1772
38. Hartle J B 1977 Phys. Rev. Lett. 39 1373 Fischetti M, Hartle J B and Hu B L 1979 Phys. Rev. D 20 1757 Hartle J B and Hu B L 1979 Phys. Rev. D 20 1772
39. Misner C W 1969 Phys. Rev. Lett. 22 1071 Misner C W 1973 Magic Without Magic ed J Klauder (New York: Freeman) Belinsky V A, Lifshitz E M and Khalatnikov I M 1970 Adv. Phys. 19 525 Belinsky V A, Lifshitz E M and Khalatnikov I M 1982 Adv. Phys. 31 639
40. Misner C W 1969 Phys. Rev. Lett. 22 1071 Misner C W 1973 Magic Without Magic ed J Klauder (New York: Freeman) Belinsky V A, Lifshitz E M and Khalatnikov I M 1970 Adv. Phys. 19 525 Belinsky V A, Lifshitz E M and Khalatnikov I M 1982 Adv. Phys. 31 639
41. Misner C W 1969 Phys. Rev. Lett. 22 1071 Misner C W 1973 Magic Without Magic ed J Klauder (New York: Freeman) Belinsky V A, Lifshitz E M and Khalatnikov I M 1970 Adv. Phys. 19 525 Belinsky V A, Lifshitz E M and Khalatnikov I M 1982 Adv. Phys. 31 639
42. Misner C W 1969 Phys. Rev. Lett. 22 1071 Misner C W 1973 Magic Without Magic ed J Klauder (New York: Freeman) Belinsky V A, Lifshitz E M and Khalatnikov I M 1970 Adv. Phys. 19 525 Belinsky V A, Lifshitz E M and Khalatnikov I M 1982 Adv. Phys. 31 639
43. Guth A H 1981 Phys. Rev. D 23 347 Albrecht A and Steinhardt P J 1982 Phys. Rev. Lett. 48 1220 Linde A D 1982 Phys. Lett. B 114 431 Linde A D 1985 Phys. Lett. B 162 281
44. Guth A H 1981 Phys. Rev. D 23 347 Albrecht A and Steinhardt P J 1982 Phys. Rev. Lett. 48 1220 Linde A D 1982 Phys. Lett. B 114 431 Linde A D 1985 Phys. Lett. B 162 281
45. Guth A H 1981 Phys. Rev. D 23 347 Albrecht A and Steinhardt P J 1982 Phys. Rev. Lett. 48 1220 Linde A D 1982 Phys. Lett. B 114 431 Linde A D 1985 Phys. Lett. B 162 281
46. Guth A H 1981 Phys. Rev. D 23 347 Albrecht A and Steinhardt P J 1982 Phys. Rev. Lett. 48 1220 Linde A D 1982 Phys. Lett. B 114 431 Linde A D 1985 Phys. Lett. B 162 281
47. Ford L H 1982 Ann. Phys., NY 144 238
48. Kuo C-I and Ford L H 1993 Phys. Rev. D 47 4510
49. Phillips N G and Hu B L 1997 Phys. Rev. D 55 6132
50. Hu B L and Phillips N G 2000 Int. J. Theor. Phys. 39 1817
51. Phillips N G and Hu B L 2000 Phys. Rev. D 62 084017
52. Phillips N G and Hu B L 2001 Phys. Rev. D 63 104001
53. Phillips N G and Hu B L 2002 Noise kernel and stress energy bi-tensor of quantum fields in hot flat space and Gaussian approximation in the optical Schwarzschild metric Preprint gr-qc/0209056
54. Phillips N G and Hu B L 2002 Noise kernel and stress energy bi-tensor of quantum fields in conformally optical metrics: Schwarzschild black holes Preprint gr-qc/0209055
55. Martin R and Verdaguer E 1999 Phys. Rev. D 60 084008
56. Martin R and Verdaguer E 2000 Phys. Rev. D 61 124024
57. Roura A and Verdaguer E 1999 Phys. Rev. D 60 107503
58. Roura A and Verdaguer E 2002 in preparation
59. Osborn H and Shore G M 2000 Nucl. Phys. B 57 287
60. Cognola G, Elizalde E and Zerbini S 2002 Phys. Rev. D 65 085031
61. Ford L H 2000 Int. J. Theor. Phys. 39 1803
62. Ford L H and Wu C H 2001 Stress tensor fluctuations and passive quantum gravity Talk given at 5th Peyresq Workshop, Int. J. Theor. Phys.(Preprint gr-qc/0102063)
63. Anderson P R, Molina-Paris C and Mottola E 2002 Preprint gr-qc/0204083 Anderson P R, Molina-Paris C and Mottola E 2002 Preprint gr-qc/0209075
64. Anderson P R, Molina-Paris C and Mottola E 2002 Preprint gr-qc/0204083 Anderson P R, Molina-Paris C and Mottola E 2002 Preprint gr-qc/0209075
65. Zurek W H 1991 Phys. Today 44 36 Zurek W H 1993 Prog. Theor. Phys. 81 281
66. Zurek W H 1991 Phys. Today 44 36 Zurek W H 1993 Prog. Theor. Phys. 81 281
67. Hu B L 1989 Physica A 158 399
68. Calzetta E and Hu B L 1994 Phys. Rev. D 49 6636
69. Hu B L and Matacz A 1995 Phys. Rev. D 51 1577
70. Hu B L and Sinha S 1995 Phys. Rev. D 51 1587
71. Campos A and Verdaguer E 1996 Phys. Rev. D 53 1927
72. Campos A and Verdaguer E 1997 Int. J. Theor. Phys. 36 2525 Calzetta E, Campos A and Verdaguer E 1997 Phys. Rev. D 56 2163
73. Campos A and Verdaguer E 1997 Int. J. Theor. Phys. 36 2525 Calzetta E, Campos A and Verdaguer E 1997 Phys. Rev. D 56 2163
74. Lombardo F C and Mazzitelli F D 1997 Phys. Rev. D 55 3889
75. Feynman R P and Hibbs A R 1965 Quantum Mechanics and Path Integrals (New York: McGraw-Hill)
76. Feynman R P and Hibbs A R 1965 Quantum Mechanics and Path Integrals (New York: McGraw-Hill)
77. Griffiths R B 1984 J. Stat. Phys. 36 219 Omnés R 1988 J. Stat. Phys. 53 893 Omnés R 1988 J. Stat. Phys. 53 933 Omnés R 1988 J. Stat. Phys. 53 957 Omnés R 1988 J. Stat. Phys. 54 357 Omnés R 1990 Ann. Phys., NY 201 354 Omnés R 1992 Rev. Mod. Phys. 64 339 Omnés R 1994 The Interpretation of Quantum Mechanics (Princeton, NJ: Princeton University Press) Gell-Mann M and Hartle J B 1990 Complexity, Entropy and the Physics of Information ed W H Zurek (Reading, MA: Addison-Wesley) Hartle J B 1993 Quantum mechanics of closed systems Directions in General Relativity vol 1, ed B L Hu, M P Ryan and C V Vishveswara (Cambridge: Cambridge University Press) Dowker H F and Halliwell J J 1992 Phys. Rev. D 46 1580 Halliwell J J 1993 Phys. Rev. D 48 4785 Halliwell J J 1998 Phys. Rev. D 57 2337 Brun T 1993 Phys. Rev. D 47 3383 Paz J P and Zurek W H 1993 Phys. Rev. D 48 2728 Twamley J 1993 Phys. Rev. D 48 5730 Isham C J 1994 J. Math. Phys. 35 2157 Isham C J and Linden N 1994 J. Math. Phys. 35 5452 Isham C J and Linden N 1994 J. Math. Phys. 36 5392 Halliwell J J 1995 Ann. New York Acad. Sci. 755 726 Dowker F and Kent A 1995 Phys. Rev. Lett. 75 3038 Dowker F and Kent A 1996 J. Stat. Phys. 82 1575 Kent A 1996 Phys. Rev. A 54 4670 Kent A 1997 Phys. Rev. Lett. 78 2874 Kent A 1998 Phys. Rev. Lett. 81 1982 Isham C J, Linden N, Savvidou K and Schreckenberg S 1998 J. Math. Phys. 39 1818
78. Griffiths R B 1984 J. Stat. Phys. 36 219 Omnés R 1988 J. Stat. Phys. 53 893 Omnés R 1988 J. Stat. Phys. 53 933 Omnés R 1988 J. Stat. Phys. 53 957 Omnés R 1988 J. Stat. Phys. 54 357 Omnés R 1990 Ann. Phys., NY 201 354 Omnés R 1992 Rev. Mod. Phys. 64 339 Omnés R 1994 The Interpretation of Quantum Mechanics (Princeton, NJ: Princeton University Press) Gell-Mann M and Hartle J B 1990 Complexity, Entropy and the Physics of Information ed W H Zurek (Reading, MA: Addison-Wesley) Hartle J B 1993 Quantum mechanics of closed systems Directions in General Relativity vol 1, ed B L Hu, M P Ryan and C V Vishveswara (Cambridge: Cambridge University Press) Dowker H F and Halliwell J J 1992 Phys. Rev. D 46 1580 Halliwell J J 1993 Phys. Rev. D 48 4785 Halliwell J J 1998 Phys. Rev. D 57 2337 Brun T 1993 Phys. Rev. D 47 3383 Paz J P and Zurek W H 1993 Phys. Rev. D 48 2728 Twamley J 1993 Phys. Rev. D 48 5730 Isham C J 1994 J. Math. Phys. 35 2157 Isham C J and Linden N 1994 J. Math. Phys. 35 5452 Isham C J and Linden N 1994 J. Math. Phys. 36 5392 Halliwell J J 1995 Ann. New York Acad. Sci. 755 726 Dowker F and Kent A 1995 Phys. Rev. Lett. 75 3038 Dowker F and Kent A 1996 J. Stat. Phys. 82 1575 Kent A 1996 Phys. Rev. A 54 4670 Kent A 1997 Phys. Rev. Lett. 78 2874 Kent A 1998 Phys. Rev. Lett. 81 1982 Isham C J, Linden N, Savvidou K and Schreckenberg S 1998 J. Math. Phys. 39 1818
79. Griffiths R B 1984 J. Stat. Phys. 36 219 Omnés R 1988 J. Stat. Phys. 53 893 Omnés R 1988 J. Stat. Phys. 53 933 Omnés R 1988 J. Stat. Phys. 53 957 Omnés R 1988 J. Stat. Phys. 54 357 Omnés R 1990 Ann. Phys., NY 201 354 Omnés R 1992 Rev. Mod. Phys. 64 339 Omnés R 1994 The Interpretation of Quantum Mechanics (Princeton, NJ: Princeton University Press) Gell-Mann M and Hartle J B 1990 Complexity, Entropy and the Physics of Information ed W H Zurek (Reading, MA: Addison-Wesley) Hartle J B 1993 Quantum mechanics of closed systems Directions in General Relativity vol 1, ed B L Hu, M P Ryan and C V Vishveswara (Cambridge: Cambridge University Press) Dowker H F and Halliwell J J 1992 Phys. Rev. D 46 1580 Halliwell J J 1993 Phys. Rev. D 48 4785 Halliwell J J 1998 Phys. Rev. D 57 2337 Brun T 1993 Phys. Rev. D 47 3383 Paz J P and Zurek W H 1993 Phys. Rev. D 48 2728 Twamley J 1993 Phys. Rev. D 48 5730 Isham C J 1994 J. Math. Phys. 35 2157 Isham C J and Linden N 1994 J. Math. Phys. 35 5452 Isham C J and Linden N 1994 J. Math. Phys. 36 5392 Halliwell J J 1995 Ann. New York Acad. Sci. 755 726 Dowker F and Kent A 1995 Phys. Rev. Lett. 75 3038 Dowker F and Kent A 1996 J. Stat. Phys. 82 1575 Kent A 1996 Phys. Rev. A 54 4670 Kent A 1997 Phys. Rev. Lett. 78 2874 Kent A 1998 Phys. Rev. Lett. 81 1982 Isham C J, Linden N, Savvidou K and Schreckenberg S 1998 J. Math. Phys. 39 1818
80. Griffiths R B 1984 J. Stat. Phys. 36 219 Omnés R 1988 J. Stat. Phys. 53 893 Omnés R 1988 J. Stat. Phys. 53 933 Omnés R 1988 J. Stat. Phys. 53 957 Omnés R 1988 J. Stat. Phys. 54 357 Omnés R 1990 Ann. Phys., NY 201 354 Omnés R 1992 Rev. Mod. Phys. 64 339 Omnés R 1994 The Interpretation of Quantum Mechanics (Princeton, NJ: Princeton University Press) Gell-Mann M and Hartle J B 1990 Complexity, Entropy and the Physics of Information ed W H Zurek (Reading, MA: Addison-Wesley) Hartle J B 1993 Quantum mechanics of closed systems Directions in General Relativity vol 1, ed B L Hu, M P Ryan and C V Vishveswara (Cambridge: Cambridge University Press) Dowker H F and Halliwell J J 1992 Phys. Rev. D 46 1580 Halliwell J J 1993 Phys. Rev. D 48 4785 Halliwell J J 1998 Phys. Rev. D 57 2337 Brun T 1993 Phys. Rev. D 47 3383 Paz J P and Zurek W H 1993 Phys. Rev. D 48 2728 Twamley J 1993 Phys. Rev. D 48 5730 Isham C J 1994 J. Math. Phys. 35 2157 Isham C J and Linden N 1994 J. Math. Phys. 35 5452 Isham C J and Linden N 1994 J. Math. Phys. 36 5392 Halliwell J J 1995 Ann. New York Acad. Sci. 755 726 Dowker F and Kent A 1995 Phys. Rev. Lett. 75 3038 Dowker F and Kent A 1996 J. Stat. Phys. 82 1575 Kent A 1996 Phys. Rev. A 54 4670 Kent A 1997 Phys. Rev. Lett. 78 2874 Kent A 1998 Phys. Rev. Lett. 81 1982 Isham C J, Linden N, Savvidou K and Schreckenberg S 1998 J. Math. Phys. 39 1818
81. Griffiths R B 1984 J. Stat. Phys. 36 219 Omnés R 1988 J. Stat. Phys. 53 893 Omnés R 1988 J. Stat. Phys. 53 933 Omnés R 1988 J. Stat. Phys. 53 957 Omnés R 1988 J. Stat. Phys. 54 357 Omnés R 1990 Ann. Phys., NY 201 354 Omnés R 1992 Rev. Mod. Phys. 64 339 Omnés R 1994 The Interpretation of Quantum Mechanics (Princeton, NJ: Princeton University Press) Gell-Mann M and Hartle J B 1990 Complexity, Entropy and the Physics of Information ed W H Zurek (Reading, MA: Addison-Wesley) Hartle J B 1993 Quantum mechanics of closed systems Directions in General Relativity vol 1, ed B L Hu, M P Ryan and C V Vishveswara (Cambridge: Cambridge University Press) Dowker H F and Halliwell J J 1992 Phys. Rev. D 46 1580 Halliwell J J 1993 Phys. Rev. D 48 4785 Halliwell J J 1998 Phys. Rev. D 57 2337 Brun T 1993 Phys. Rev. D 47 3383 Paz J P and Zurek W H 1993 Phys. Rev. D 48 2728 Twamley J 1993 Phys. Rev. D 48 5730 Isham C J 1994 J. Math. Phys. 35 2157 Isham C J and Linden N 1994 J. Math. Phys. 35 5452 Isham C J and Linden N 1994 J. Math. Phys. 36 5392 Halliwell J J 1995 Ann. New York Acad. Sci. 755 726 Dowker F and Kent A 1995 Phys. Rev. Lett. 75 3038 Dowker F and Kent A 1996 J. Stat. Phys. 82 1575 Kent A 1996 Phys. Rev. A 54 4670 Kent A 1997 Phys. Rev. Lett. 78 2874 Kent A 1998 Phys. Rev. Lett. 81 1982 Isham C J, Linden N, Savvidou K and Schreckenberg S 1998 J. Math. Phys. 39 1818
82. Griffiths R B 1984 J. Stat. Phys. 36 219 Omnés R 1988 J. Stat. Phys. 53 893 Omnés R 1988 J. Stat. Phys. 53 933 Omnés R 1988 J. Stat. Phys. 53 957 Omnés R 1988 J. Stat. Phys. 54 357 Omnés R 1990 Ann. Phys., NY 201 354 Omnés R 1992 Rev. Mod. Phys. 64 339 Omnés R 1994 The Interpretation of Quantum Mechanics (Princeton, NJ: Princeton University Press) Gell-Mann M and Hartle J B 1990 Complexity, Entropy and the Physics of Information ed W H Zurek (Reading, MA: Addison-Wesley) Hartle J B 1993 Quantum mechanics of closed systems Directions in General Relativity vol 1, ed B L Hu, M P Ryan and C V Vishveswara (Cambridge: Cambridge University Press) Dowker H F and Halliwell J J 1992 Phys. Rev. D 46 1580 Halliwell J J 1993 Phys. Rev. D 48 4785 Halliwell J J 1998 Phys. Rev. D 57 2337 Brun T 1993 Phys. Rev. D 47 3383 Paz J P and Zurek W H 1993 Phys. Rev. D 48 2728 Twamley J 1993 Phys. Rev. D 48 5730 Isham C J 1994 J. Math. Phys. 35 2157 Isham C J and Linden N 1994 J. Math. Phys. 35 5452 Isham C J and Linden N 1994 J. Math. Phys. 36 5392 Halliwell J J 1995 Ann. New York Acad. Sci. 755 726 Dowker F and Kent A 1995 Phys. Rev. Lett. 75 3038 Dowker F and Kent A 1996 J. Stat. Phys. 82 1575 Kent A 1996 Phys. Rev. A 54 4670 Kent A 1997 Phys. Rev. Lett. 78 2874 Kent A 1998 Phys. Rev. Lett. 81 1982 Isham C J, Linden N, Savvidou K and Schreckenberg S 1998 J. Math. Phys. 39 1818
83. Griffiths R B 1984 J. Stat. Phys. 36 219 Omnés R 1988 J. Stat. Phys. 53 893 Omnés R 1988 J. Stat. Phys. 53 933 Omnés R 1988 J. Stat. Phys. 53 957 Omnés R 1988 J. Stat. Phys. 54 357 Omnés R 1990 Ann. Phys., NY 201 354 Omnés R 1992 Rev. Mod. Phys. 64 339 Omnés R 1994 The Interpretation of Quantum Mechanics (Princeton, NJ: Princeton University Press) Gell-Mann M and Hartle J B 1990 Complexity, Entropy and the Physics of Information ed W H Zurek (Reading, MA: Addison-Wesley) Hartle J B 1993 Quantum mechanics of closed systems Directions in General Relativity vol 1, ed B L Hu, M P Ryan and C V Vishveswara (Cambridge: Cambridge University Press) Dowker H F and Halliwell J J 1992 Phys. Rev. D 46 1580 Halliwell J J 1993 Phys. Rev. D 48 4785 Halliwell J J 1998 Phys. Rev. D 57 2337 Brun T 1993 Phys. Rev. D 47 3383 Paz J P and Zurek W H 1993 Phys. Rev. D 48 2728 Twamley J 1993 Phys. Rev. D 48 5730 Isham C J 1994 J. Math. Phys. 35 2157 Isham C J and Linden N 1994 J. Math. Phys. 35 5452 Isham C J and Linden N 1994 J. Math. Phys. 36 5392 Halliwell J J 1995 Ann. New York Acad. Sci. 755 726 Dowker F and Kent A 1995 Phys. Rev. Lett. 75 3038 Dowker F and Kent A 1996 J. Stat. Phys. 82 1575 Kent A 1996 Phys. Rev. A 54 4670 Kent A 1997 Phys. Rev. Lett. 78 2874 Kent A 1998 Phys. Rev. Lett. 81 1982 Isham C J, Linden N, Savvidou K and Schreckenberg S 1998 J. Math. Phys. 39 1818
84. Griffiths R B 1984 J. Stat. Phys. 36 219 Omnés R 1988 J. Stat. Phys. 53 893 Omnés R 1988 J. Stat. Phys. 53 933 Omnés R 1988 J. Stat. Phys. 53 957 Omnés R 1988 J. Stat. Phys. 54 357 Omnés R 1990 Ann. Phys., NY 201 354 Omnés R 1992 Rev. Mod. Phys. 64 339 Omnés R 1994 The Interpretation of Quantum Mechanics (Princeton, NJ: Princeton University Press) Gell-Mann M and Hartle J B 1990 Complexity, Entropy and the Physics of Information ed W H Zurek (Reading, MA: Addison-Wesley) Hartle J B 1993 Quantum mechanics of closed systems Directions in General Relativity vol 1, ed B L Hu, M P Ryan and C V Vishveswara (Cambridge: Cambridge University Press) Dowker H F and Halliwell J J 1992 Phys. Rev. D 46 1580 Halliwell J J 1993 Phys. Rev. D 48 4785 Halliwell J J 1998 Phys. Rev. D 57 2337 Brun T 1993 Phys. Rev. D 47 3383 Paz J P and Zurek W H 1993 Phys. Rev. D 48 2728 Twamley J 1993 Phys. Rev. D 48 5730 Isham C J 1994 J. Math. Phys. 35 2157 Isham C J and Linden N 1994 J. Math. Phys. 35 5452 Isham C J and Linden N 1994 J. Math. Phys. 36 5392 Halliwell J J 1995 Ann. New York Acad. Sci. 755 726 Dowker F and Kent A 1995 Phys. Rev. Lett. 75 3038 Dowker F and Kent A 1996 J. Stat. Phys. 82 1575 Kent A 1996 Phys. Rev. A 54 4670 Kent A 1997 Phys. Rev. Lett. 78 2874 Kent A 1998 Phys. Rev. Lett. 81 1982 Isham C J, Linden N, Savvidou K and Schreckenberg S 1998 J. Math. Phys. 39 1818
85. Griffiths R B 1984 J. Stat. Phys. 36 219 Omnés R 1988 J. Stat. Phys. 53 893 Omnés R 1988 J. Stat. Phys. 53 933 Omnés R 1988 J. Stat. Phys. 53 957 Omnés R 1988 J. Stat. Phys. 54 357 Omnés R 1990 Ann. Phys., NY 201 354 Omnés R 1992 Rev. Mod. Phys. 64 339 Omnés R 1994 The Interpretation of Quantum Mechanics (Princeton, NJ: Princeton University Press) Gell-Mann M and Hartle J B 1990 Complexity, Entropy and the Physics of Information ed W H Zurek (Reading, MA: Addison-Wesley) Hartle J B 1993 Quantum mechanics of closed systems Directions in General Relativity vol 1, ed B L Hu, M P Ryan and C V Vishveswara (Cambridge: Cambridge University Press) Dowker H F and Halliwell J J 1992 Phys. Rev. D 46 1580 Halliwell J J 1993 Phys. Rev. D 48 4785 Halliwell J J 1998 Phys. Rev. D 57 2337 Brun T 1993 Phys. Rev. D 47 3383 Paz J P and Zurek W H 1993 Phys. Rev. D 48 2728 Twamley J 1993 Phys. Rev. D 48 5730 Isham C J 1994 J. Math. Phys. 35 2157 Isham C J and Linden N 1994 J. Math. Phys. 35 5452 Isham C J and Linden N 1994 J. Math. Phys. 36 5392 Halliwell J J 1995 Ann. New York Acad. Sci. 755 726 Dowker F and Kent A 1995 Phys. Rev. Lett. 75 3038 Dowker F and Kent A 1996 J. Stat. Phys. 82 1575 Kent A 1996 Phys. Rev. A 54 4670 Kent A 1997 Phys. Rev. Lett. 78 2874 Kent A 1998 Phys. Rev. Lett. 81 1982 Isham C J, Linden N, Savvidou K and Schreckenberg S 1998 J. Math. Phys. 39 1818
86. Griffiths R B 1984 J. Stat. Phys. 36 219 Omnés R 1988 J. Stat. Phys. 53 893 Omnés R 1988 J. Stat. Phys. 53 933 Omnés R 1988 J. Stat. Phys. 53 957 Omnés R 1988 J. Stat. Phys. 54 357 Omnés R 1990 Ann. Phys., NY 201 354 Omnés R 1992 Rev. Mod. Phys. 64 339 Omnés R 1994 The Interpretation of Quantum Mechanics (Princeton, NJ: Princeton University Press) Gell-Mann M and Hartle J B 1990 Complexity, Entropy and the Physics of Information ed W H Zurek (Reading, MA: Addison-Wesley) Hartle J B 1993 Quantum mechanics of closed systems Directions in General Relativity vol 1, ed B L Hu, M P Ryan and C V Vishveswara (Cambridge: Cambridge University Press) Dowker H F and Halliwell J J 1992 Phys. Rev. D 46 1580 Halliwell J J 1993 Phys. Rev. D 48 4785 Halliwell J J 1998 Phys. Rev. D 57 2337 Brun T 1993 Phys. Rev. D 47 3383 Paz J P and Zurek W H 1993 Phys. Rev. D 48 2728 Twamley J 1993 Phys. Rev. D 48 5730 Isham C J 1994 J. Math. Phys. 35 2157 Isham C J and Linden N 1994 J. Math. Phys. 35 5452 Isham C J and Linden N 1994 J. Math. Phys. 36 5392 Halliwell J J 1995 Ann. New York Acad. Sci. 755 726 Dowker F and Kent A 1995 Phys. Rev. Lett. 75 3038 Dowker F and Kent A 1996 J. Stat. Phys. 82 1575 Kent A 1996 Phys. Rev. A 54 4670 Kent A 1997 Phys. Rev. Lett. 78 2874 Kent A 1998 Phys. Rev. Lett. 81 1982 Isham C J, Linden N, Savvidou K and Schreckenberg S 1998 J. Math. Phys. 39 1818
87. Griffiths R B 1984 J. Stat. Phys. 36 219 Omnés R 1988 J. Stat. Phys. 53 893 Omnés R 1988 J. Stat. Phys. 53 933 Omnés R 1988 J. Stat. Phys. 53 957 Omnés R 1988 J. Stat. Phys. 54 357 Omnés R 1990 Ann. Phys., NY 201 354 Omnés R 1992 Rev. Mod. Phys. 64 339 Omnés R 1994 The Interpretation of Quantum Mechanics (Princeton, NJ: Princeton University Press) Gell-Mann M and Hartle J B 1990 Complexity, Entropy and the Physics of Information ed W H Zurek (Reading, MA: Addison-Wesley) Hartle J B 1993 Quantum mechanics of closed systems Directions in General Relativity vol 1, ed B L Hu, M P Ryan and C V Vishveswara (Cambridge: Cambridge University Press) Dowker H F and Halliwell J J 1992 Phys. Rev. D 46 1580 Halliwell J J 1993 Phys. Rev. D 48 4785 Halliwell J J 1998 Phys. Rev. D 57 2337 Brun T 1993 Phys. Rev. D 47 3383 Paz J P and Zurek W H 1993 Phys. Rev. D 48 2728 Twamley J 1993 Phys. Rev. D 48 5730 Isham C J 1994 J. Math. Phys. 35 2157 Isham C J and Linden N 1994 J. Math. Phys. 35 5452 Isham C J and Linden N 1994 J. Math. Phys. 36 5392 Halliwell J J 1995 Ann. New York Acad. Sci. 755 726 Dowker F and Kent A 1995 Phys. Rev. Lett. 75 3038 Dowker F and Kent A 1996 J. Stat. Phys. 82 1575 Kent A 1996 Phys. Rev. A 54 4670 Kent A 1997 Phys. Rev. Lett. 78 2874 Kent A 1998 Phys. Rev. Lett. 81 1982 Isham C J, Linden N, Savvidou K and Schreckenberg S 1998 J. Math. Phys. 39 1818
88. Griffiths R B 1984 J. Stat. Phys. 36 219 Omnés R 1988 J. Stat. Phys. 53 893 Omnés R 1988 J. Stat. Phys. 53 933 Omnés R 1988 J. Stat. Phys. 53 957 Omnés R 1988 J. Stat. Phys. 54 357 Omnés R 1990 Ann. Phys., NY 201 354 Omnés R 1992 Rev. Mod. Phys. 64 339 Omnés R 1994 The Interpretation of Quantum Mechanics (Princeton, NJ: Princeton University Press) Gell-Mann M and Hartle J B 1990 Complexity, Entropy and the Physics of Information ed W H Zurek (Reading, MA: Addison-Wesley) Hartle J B 1993 Quantum mechanics of closed systems Directions in General Relativity vol 1, ed B L Hu, M P Ryan and C V Vishveswara (Cambridge: Cambridge University Press) Dowker H F and Halliwell J J 1992 Phys. Rev. D 46 1580 Halliwell J J 1993 Phys. Rev. D 48 4785 Halliwell J J 1998 Phys. Rev. D 57 2337 Brun T 1993 Phys. Rev. D 47 3383 Paz J P and Zurek W H 1993 Phys. Rev. D 48 2728 Twamley J 1993 Phys. Rev. D 48 5730 Isham C J 1994 J. Math. Phys. 35 2157 Isham C J and Linden N 1994 J. Math. Phys. 35 5452 Isham C J and Linden N 1994 J. Math. Phys. 36 5392 Halliwell J J 1995 Ann. New York Acad. Sci. 755 726 Dowker F and Kent A 1995 Phys. Rev. Lett. 75 3038 Dowker F and Kent A 1996 J. Stat. Phys. 82 1575 Kent A 1996 Phys. Rev. A 54 4670 Kent A 1997 Phys. Rev. Lett. 78 2874 Kent A 1998 Phys. Rev. Lett. 81 1982 Isham C J, Linden N, Savvidou K and Schreckenberg S 1998 J. Math. Phys. 39 1818
89. Griffiths R B 1984 J. Stat. Phys. 36 219 Omnés R 1988 J. Stat. Phys. 53 893 Omnés R 1988 J. Stat. Phys. 53 933 Omnés R 1988 J. Stat. Phys. 53 957 Omnés R 1988 J. Stat. Phys. 54 357 Omnés R 1990 Ann. Phys., NY 201 354 Omnés R 1992 Rev. Mod. Phys. 64 339 Omnés R 1994 The Interpretation of Quantum Mechanics (Princeton, NJ: Princeton University Press) Gell-Mann M and Hartle J B 1990 Complexity, Entropy and the Physics of Information ed W H Zurek (Reading, MA: Addison-Wesley) Hartle J B 1993 Quantum mechanics of closed systems Directions in General Relativity vol 1, ed B L Hu, M P Ryan and C V Vishveswara (Cambridge: Cambridge University Press) Dowker H F and Halliwell J J 1992 Phys. Rev. D 46 1580 Halliwell J J 1993 Phys. Rev. D 48 4785 Halliwell J J 1998 Phys. Rev. D 57 2337 Brun T 1993 Phys. Rev. D 47 3383 Paz J P and Zurek W H 1993 Phys. Rev. D 48 2728 Twamley J 1993 Phys. Rev. D 48 5730 Isham C J 1994 J. Math. Phys. 35 2157 Isham C J and Linden N 1994 J. Math. Phys. 35 5452 Isham C J and Linden N 1994 J. Math. Phys. 36 5392 Halliwell J J 1995 Ann. New York Acad. Sci. 755 726 Dowker F and Kent A 1995 Phys. Rev. Lett. 75 3038 Dowker F and Kent A 1996 J. Stat. Phys. 82 1575 Kent A 1996 Phys. Rev. A 54 4670 Kent A 1997 Phys. Rev. Lett. 78 2874 Kent A 1998 Phys. Rev. Lett. 81 1982 Isham C J, Linden N, Savvidou K and Schreckenberg S 1998 J. Math. Phys. 39 1818
90. Griffiths R B 1984 J. Stat. Phys. 36 219 Omnés R 1988 J. Stat. Phys. 53 893 Omnés R 1988 J. Stat. Phys. 53 933 Omnés R 1988 J. Stat. Phys. 53 957 Omnés R 1988 J. Stat. Phys. 54 357 Omnés R 1990 Ann. Phys., NY 201 354 Omnés R 1992 Rev. Mod. Phys. 64 339 Omnés R 1994 The Interpretation of Quantum Mechanics (Princeton, NJ: Princeton University Press) Gell-Mann M and Hartle J B 1990 Complexity, Entropy and the Physics of Information ed W H Zurek (Reading, MA: Addison-Wesley) Hartle J B 1993 Quantum mechanics of closed systems Directions in General Relativity vol 1, ed B L Hu, M P Ryan and C V Vishveswara (Cambridge: Cambridge University Press) Dowker H F and Halliwell J J 1992 Phys. Rev. D 46 1580 Halliwell J J 1993 Phys. Rev. D 48 4785 Halliwell J J 1998 Phys. Rev. D 57 2337 Brun T 1993 Phys. Rev. D 47 3383 Paz J P and Zurek W H 1993 Phys. Rev. D 48 2728 Twamley J 1993 Phys. Rev. D 48 5730 Isham C J 1994 J. Math. Phys. 35 2157 Isham C J and Linden N 1994 J. Math. Phys. 35 5452 Isham C J and Linden N 1994 J. Math. Phys. 36 5392 Halliwell J J 1995 Ann. New York Acad. Sci. 755 726 Dowker F and Kent A 1995 Phys. Rev. Lett. 75 3038 Dowker F and Kent A 1996 J. Stat. Phys. 82 1575 Kent A 1996 Phys. Rev. A 54 4670 Kent A 1997 Phys. Rev. Lett. 78 2874 Kent A 1998 Phys. Rev. Lett. 81 1982 Isham C J, Linden N, Savvidou K and Schreckenberg S 1998 J. Math. Phys. 39 1818
91. Griffiths R B 1984 J. Stat. Phys. 36 219 Omnés R 1988 J. Stat. Phys. 53 893 Omnés R 1988 J. Stat. Phys. 53 933 Omnés R 1988 J. Stat. Phys. 53 957 Omnés R 1988 J. Stat. Phys. 54 357 Omnés R 1990 Ann. Phys., NY 201 354 Omnés R 1992 Rev. Mod. Phys. 64 339 Omnés R 1994 The Interpretation of Quantum Mechanics (Princeton, NJ: Princeton University Press) Gell-Mann M and Hartle J B 1990 Complexity, Entropy and the Physics of Information ed W H Zurek (Reading, MA: Addison-Wesley) Hartle J B 1993 Quantum mechanics of closed systems Directions in General Relativity vol 1, ed B L Hu, M P Ryan and C V Vishveswara (Cambridge: Cambridge University Press) Dowker H F and Halliwell J J 1992 Phys. Rev. D 46 1580 Halliwell J J 1993 Phys. Rev. D 48 4785 Halliwell J J 1998 Phys. Rev. D 57 2337 Brun T 1993 Phys. Rev. D 47 3383 Paz J P and Zurek W H 1993 Phys. Rev. D 48 2728 Twamley J 1993 Phys. Rev. D 48 5730 Isham C J 1994 J. Math. Phys. 35 2157 Isham C J and Linden N 1994 J. Math. Phys. 35 5452 Isham C J and Linden N 1994 J. Math. Phys. 36 5392 Halliwell J J 1995 Ann. New York Acad. Sci. 755 726 Dowker F and Kent A 1995 Phys. Rev. Lett. 75 3038 Dowker F and Kent A 1996 J. Stat. Phys. 82 1575 Kent A 1996 Phys. Rev. A 54 4670 Kent A 1997 Phys. Rev. Lett. 78 2874 Kent A 1998 Phys. Rev. Lett. 81 1982 Isham C J, Linden N, Savvidou K and Schreckenberg S 1998 J. Math. Phys. 39 1818
92. Griffiths R B 1984 J. Stat. Phys. 36 219 Omnés R 1988 J. Stat. Phys. 53 893 Omnés R 1988 J. Stat. Phys. 53 933 Omnés R 1988 J. Stat. Phys. 53 957 Omnés R 1988 J. Stat. Phys. 54 357 Omnés R 1990 Ann. Phys., NY 201 354 Omnés R 1992 Rev. Mod. Phys. 64 339 Omnés R 1994 The Interpretation of Quantum Mechanics (Princeton, NJ: Princeton University Press) Gell-Mann M and Hartle J B 1990 Complexity, Entropy and the Physics of Information ed W H Zurek (Reading, MA: Addison-Wesley) Hartle J B 1993 Quantum mechanics of closed systems Directions in General Relativity vol 1, ed B L Hu, M P Ryan and C V Vishveswara (Cambridge: Cambridge University Press) Dowker H F and Halliwell J J 1992 Phys. Rev. D 46 1580 Halliwell J J 1993 Phys. Rev. D 48 4785 Halliwell J J 1998 Phys. Rev. D 57 2337 Brun T 1993 Phys. Rev. D 47 3383 Paz J P and Zurek W H 1993 Phys. Rev. D 48 2728 Twamley J 1993 Phys. Rev. D 48 5730 Isham C J 1994 J. Math. Phys. 35 2157 Isham C J and Linden N 1994 J. Math. Phys. 35 5452 Isham C J and Linden N 1994 J. Math. Phys. 36 5392 Halliwell J J 1995 Ann. New York Acad. Sci. 755 726 Dowker F and Kent A 1995 Phys. Rev. Lett. 75 3038 Dowker F and Kent A 1996 J. Stat. Phys. 82 1575 Kent A 1996 Phys. Rev. A 54 4670 Kent A 1997 Phys. Rev. Lett. 78 2874 Kent A 1998 Phys. Rev. Lett. 81 1982 Isham C J, Linden N, Savvidou K and Schreckenberg S 1998 J. Math. Phys. 39 1818
93. Griffiths R B 1984 J. Stat. Phys. 36 219 Omnés R 1988 J. Stat. Phys. 53 893 Omnés R 1988 J. Stat. Phys. 53 933 Omnés R 1988 J. Stat. Phys. 53 957 Omnés R 1988 J. Stat. Phys. 54 357 Omnés R 1990 Ann. Phys., NY 201 354 Omnés R 1992 Rev. Mod. Phys. 64 339 Omnés R 1994 The Interpretation of Quantum Mechanics (Princeton, NJ: Princeton University Press) Gell-Mann M and Hartle J B 1990 Complexity, Entropy and the Physics of Information ed W H Zurek (Reading, MA: Addison-Wesley) Hartle J B 1993 Quantum mechanics of closed systems Directions in General Relativity vol 1, ed B L Hu, M P Ryan and C V Vishveswara (Cambridge: Cambridge University Press) Dowker H F and Halliwell J J 1992 Phys. Rev. D 46 1580 Halliwell J J 1993 Phys. Rev. D 48 4785 Halliwell J J 1998 Phys. Rev. D 57 2337 Brun T 1993 Phys. Rev. D 47 3383 Paz J P and Zurek W H 1993 Phys. Rev. D 48 2728 Twamley J 1993 Phys. Rev. D 48 5730 Isham C J 1994 J. Math. Phys. 35 2157 Isham C J and Linden N 1994 J. Math. Phys. 35 5452 Isham C J and Linden N 1994 J. Math. Phys. 36 5392 Halliwell J J 1995 Ann. New York Acad. Sci. 755 726 Dowker F and Kent A 1995 Phys. Rev. Lett. 75 3038 Dowker F and Kent A 1996 J. Stat. Phys. 82 1575 Kent A 1996 Phys. Rev. A 54 4670 Kent A 1997 Phys. Rev. Lett. 78 2874 Kent A 1998 Phys. Rev. Lett. 81 1982 Isham C J, Linden N, Savvidou K and Schreckenberg S 1998 J. Math. Phys. 39 1818
94. Griffiths R B 1984 J. Stat. Phys. 36 219 Omnés R 1988 J. Stat. Phys. 53 893 Omnés R 1988 J. Stat. Phys. 53 933 Omnés R 1988 J. Stat. Phys. 53 957 Omnés R 1988 J. Stat. Phys. 54 357 Omnés R 1990 Ann. Phys., NY 201 354 Omnés R 1992 Rev. Mod. Phys. 64 339 Omnés R 1994 The Interpretation of Quantum Mechanics (Princeton, NJ: Princeton University Press) Gell-Mann M and Hartle J B 1990 Complexity, Entropy and the Physics of Information ed W H Zurek (Reading, MA: Addison-Wesley) Hartle J B 1993 Quantum mechanics of closed systems Directions in General Relativity vol 1, ed B L Hu, M P Ryan and C V Vishveswara (Cambridge: Cambridge University Press) Dowker H F and Halliwell J J 1992 Phys. Rev. D 46 1580 Halliwell J J 1993 Phys. Rev. D 48 4785 Halliwell J J 1998 Phys. Rev. D 57 2337 Brun T 1993 Phys. Rev. D 47 3383 Paz J P and Zurek W H 1993 Phys. Rev. D 48 2728 Twamley J 1993 Phys. Rev. D 48 5730 Isham C J 1994 J. Math. Phys. 35 2157 Isham C J and Linden N 1994 J. Math. Phys. 35 5452 Isham C J and Linden N 1994 J. Math. Phys. 36 5392 Halliwell J J 1995 Ann. New York Acad. Sci. 755 726 Dowker F and Kent A 1995 Phys. Rev. Lett. 75 3038 Dowker F and Kent A 1996 J. Stat. Phys. 82 1575 Kent A 1996 Phys. Rev. A 54 4670 Kent A 1997 Phys. Rev. Lett. 78 2874 Kent A 1998 Phys. Rev. Lett. 81 1982 Isham C J, Linden N, Savvidou K and Schreckenberg S 1998 J. Math. Phys. 39 1818
95. Griffiths R B 1984 J. Stat. Phys. 36 219 Omnés R 1988 J. Stat. Phys. 53 893 Omnés R 1988 J. Stat. Phys. 53 933 Omnés R 1988 J. Stat. Phys. 53 957 Omnés R 1988 J. Stat. Phys. 54 357 Omnés R 1990 Ann. Phys., NY 201 354 Omnés R 1992 Rev. Mod. Phys. 64 339 Omnés R 1994 The Interpretation of Quantum Mechanics (Princeton, NJ: Princeton University Press) Gell-Mann M and Hartle J B 1990 Complexity, Entropy and the Physics of Information ed W H Zurek (Reading, MA: Addison-Wesley) Hartle J B 1993 Quantum mechanics of closed systems Directions in General Relativity vol 1, ed B L Hu, M P Ryan and C V Vishveswara (Cambridge: Cambridge University Press) Dowker H F and Halliwell J J 1992 Phys. Rev. D 46 1580 Halliwell J J 1993 Phys. Rev. D 48 4785 Halliwell J J 1998 Phys. Rev. D 57 2337 Brun T 1993 Phys. Rev. D 47 3383 Paz J P and Zurek W H 1993 Phys. Rev. D 48 2728 Twamley J 1993 Phys. Rev. D 48 5730 Isham C J 1994 J. Math. Phys. 35 2157 Isham C J and Linden N 1994 J. Math. Phys. 35 5452 Isham C J and Linden N 1994 J. Math. Phys. 36 5392 Halliwell J J 1995 Ann. New York Acad. Sci. 755 726 Dowker F and Kent A 1995 Phys. Rev. Lett. 75 3038 Dowker F and Kent A 1996 J. Stat. Phys. 82 1575 Kent A 1996 Phys. Rev. A 54 4670 Kent A 1997 Phys. Rev. Lett. 78 2874 Kent A 1998 Phys. Rev. Lett. 81 1982 Isham C J, Linden N, Savvidou K and Schreckenberg S 1998 J. Math. Phys. 39 1818
96. Griffiths R B 1984 J. Stat. Phys. 36 219 Omnés R 1988 J. Stat. Phys. 53 893 Omnés R 1988 J. Stat. Phys. 53 933 Omnés R 1988 J. Stat. Phys. 53 957 Omnés R 1988 J. Stat. Phys. 54 357 Omnés R 1990 Ann. Phys., NY 201 354 Omnés R 1992 Rev. Mod. Phys. 64 339 Omnés R 1994 The Interpretation of Quantum Mechanics (Princeton, NJ: Princeton University Press) Gell-Mann M and Hartle J B 1990 Complexity, Entropy and the Physics of Information ed W H Zurek (Reading, MA: Addison-Wesley) Hartle J B 1993 Quantum mechanics of closed systems Directions in General Relativity vol 1, ed B L Hu, M P Ryan and C V Vishveswara (Cambridge: Cambridge University Press) Dowker H F and Halliwell J J 1992 Phys. Rev. D 46 1580 Halliwell J J 1993 Phys. Rev. D 48 4785 Halliwell J J 1998 Phys. Rev. D 57 2337 Brun T 1993 Phys. Rev. D 47 3383 Paz J P and Zurek W H 1993 Phys. Rev. D 48 2728 Twamley J 1993 Phys. Rev. D 48 5730 Isham C J 1994 J. Math. Phys. 35 2157 Isham C J and Linden N 1994 J. Math. Phys. 35 5452 Isham C J and Linden N 1994 J. Math. Phys. 36 5392 Halliwell J J 1995 Ann. New York Acad. Sci. 755 726 Dowker F and Kent A 1995 Phys. Rev. Lett. 75 3038 Dowker F and Kent A 1996 J. Stat. Phys. 82 1575 Kent A 1996 Phys. Rev. A 54 4670 Kent A 1997 Phys. Rev. Lett. 78 2874 Kent A 1998 Phys. Rev. Lett. 81 1982 Isham C J, Linden N, Savvidou K and Schreckenberg S 1998 J. Math. Phys. 39 1818
97. Griffiths R B 1984 J. Stat. Phys. 36 219 Omnés R 1988 J. Stat. Phys. 53 893 Omnés R 1988 J. Stat. Phys. 53 933 Omnés R 1988 J. Stat. Phys. 53 957 Omnés R 1988 J. Stat. Phys. 54 357 Omnés R 1990 Ann. Phys., NY 201 354 Omnés R 1992 Rev. Mod. Phys. 64 339 Omnés R 1994 The Interpretation of Quantum Mechanics (Princeton, NJ: Princeton University Press) Gell-Mann M and Hartle J B 1990 Complexity, Entropy and the Physics of Information ed W H Zurek (Reading, MA: Addison-Wesley) Hartle J B 1993 Quantum mechanics of closed systems Directions in General Relativity vol 1, ed B L Hu, M P Ryan and C V Vishveswara (Cambridge: Cambridge University Press) Dowker H F and Halliwell J J 1992 Phys. Rev. D 46 1580 Halliwell J J 1993 Phys. Rev. D 48 4785 Halliwell J J 1998 Phys. Rev. D 57 2337 Brun T 1993 Phys. Rev. D 47 3383 Paz J P and Zurek W H 1993 Phys. Rev. D 48 2728 Twamley J 1993 Phys. Rev. D 48 5730 Isham C J 1994 J. Math. Phys. 35 2157 Isham C J and Linden N 1994 J. Math. Phys. 35 5452 Isham C J and Linden N 1994 J. Math. Phys. 36 5392 Halliwell J J 1995 Ann. New York Acad. Sci. 755 726 Dowker F and Kent A 1995 Phys. Rev. Lett. 75 3038 Dowker F and Kent A 1996 J. Stat. Phys. 82 1575 Kent A 1996 Phys. Rev. A 54 4670 Kent A 1997 Phys. Rev. Lett. 78 2874 Kent A 1998 Phys. Rev. Lett. 81 1982 Isham C J, Linden N, Savvidou K and Schreckenberg S 1998 J. Math. Phys. 39 1818
98. Griffiths R B 1984 J. Stat. Phys. 36 219 Omnés R 1988 J. Stat. Phys. 53 893 Omnés R 1988 J. Stat. Phys. 53 933 Omnés R 1988 J. Stat. Phys. 53 957 Omnés R 1988 J. Stat. Phys. 54 357 Omnés R 1990 Ann. Phys., NY 201 354 Omnés R 1992 Rev. Mod. Phys. 64 339 Omnés R 1994 The Interpretation of Quantum Mechanics (Princeton, NJ: Princeton University Press) Gell-Mann M and Hartle J B 1990 Complexity, Entropy and the Physics of Information ed W H Zurek (Reading, MA: Addison-Wesley) Hartle J B 1993 Quantum mechanics of closed systems Directions in General Relativity vol 1, ed B L Hu, M P Ryan and C V Vishveswara (Cambridge: Cambridge University Press) Dowker H F and Halliwell J J 1992 Phys. Rev. D 46 1580 Halliwell J J 1993 Phys. Rev. D 48 4785 Halliwell J J 1998 Phys. Rev. D 57 2337 Brun T 1993 Phys. Rev. D 47 3383 Paz J P and Zurek W H 1993 Phys. Rev. D 48 2728 Twamley J 1993 Phys. Rev. D 48 5730 Isham C J 1994 J. Math. Phys. 35 2157 Isham C J and Linden N 1994 J. Math. Phys. 35 5452 Isham C J and Linden N 1994 J. Math. Phys. 36 5392 Halliwell J J 1995 Ann. New York Acad. Sci. 755 726 Dowker F and Kent A 1995 Phys. Rev. Lett. 75 3038 Dowker F and Kent A 1996 J. Stat. Phys. 82 1575 Kent A 1996 Phys. Rev. A 54 4670 Kent A 1997 Phys. Rev. Lett. 78 2874 Kent A 1998 Phys. Rev. Lett. 81 1982 Isham C J, Linden N, Savvidou K and Schreckenberg S 1998 J. Math. Phys. 39 1818
99. Griffiths R B 1984 J. Stat. Phys. 36 219 Omnés R 1988 J. Stat. Phys. 53 893 Omnés R 1988 J. Stat. Phys. 53 933 Omnés R 1988 J. Stat. Phys. 53 957 Omnés R 1988 J. Stat. Phys. 54 357 Omnés R 1990 Ann. Phys., NY 201 354 Omnés R 1992 Rev. Mod. Phys. 64 339 Omnés R 1994 The Interpretation of Quantum Mechanics (Princeton, NJ: Princeton University Press) Gell-Mann M and Hartle J B 1990 Complexity, Entropy and the Physics of Information ed W H Zurek (Reading, MA: Addison-Wesley) Hartle J B 1993 Quantum mechanics of closed systems Directions in General Relativity vol 1, ed B L Hu, M P Ryan and C V Vishveswara (Cambridge: Cambridge University Press) Dowker H F and Halliwell J J 1992 Phys. Rev. D 46 1580 Halliwell J J 1993 Phys. Rev. D 48 4785 Halliwell J J 1998 Phys. Rev. D 57 2337 Brun T 1993 Phys. Rev. D 47 3383 Paz J P and Zurek W H 1993 Phys. Rev. D 48 2728 Twamley J 1993 Phys. Rev. D 48 5730 Isham C J 1994 J. Math. Phys. 35 2157 Isham C J and Linden N 1994 J. Math. Phys. 35 5452 Isham C J and Linden N 1994 J. Math. Phys. 36 5392 Halliwell J J 1995 Ann. New York Acad. Sci. 755 726 Dowker F and Kent A 1995 Phys. Rev. Lett. 75 3038 Dowker F and Kent A 1996 J. Stat. Phys. 82 1575 Kent A 1996 Phys. Rev. A 54 4670 Kent A 1997 Phys. Rev. Lett. 78 2874 Kent A 1998 Phys. Rev. Lett. 81 1982 Isham C J, Linden N, Savvidou K and Schreckenberg S 1998 J. Math. Phys. 39 1818
100. Griffiths R B 1984 J. Stat. Phys. 36 219 Omnés R 1988 J. Stat. Phys. 53 893 Omnés R 1988 J. Stat. Phys. 53 933 Omnés R 1988 J. Stat. Phys. 53 957 Omnés R 1988 J. Stat. Phys. 54 357 Omnés R 1990 Ann. Phys., NY 201 354 Omnés R 1992 Rev. Mod. Phys. 64 339 Omnés R 1994 The Interpretation of Quantum Mechanics (Princeton, NJ: Princeton University Press) Gell-Mann M and Hartle J B 1990 Complexity, Entropy and the Physics of Information ed W H Zurek (Reading, MA: Addison-Wesley) Hartle J B 1993 Quantum mechanics of closed systems Directions in General Relativity vol 1, ed B L Hu, M P Ryan and C V Vishveswara (Cambridge: Cambridge University Press) Dowker H F and Halliwell J J 1992 Phys. Rev. D 46 1580 Halliwell J J 1993 Phys. Rev. D 48 4785 Halliwell J J 1998 Phys. Rev. D 57 2337 Brun T 1993 Phys. Rev. D 47 3383 Paz J P and Zurek W H 1993 Phys. Rev. D 48 2728 Twamley J 1993 Phys. Rev. D 48 5730 Isham C J 1994 J. Math. Phys. 35 2157 Isham C J and Linden N 1994 J. Math. Phys. 35 5452 Isham C J and Linden N 1994 J. Math. Phys. 36 5392 Halliwell J J 1995 Ann. New York Acad. Sci. 755 726 Dowker F and Kent A 1995 Phys. Rev. Lett. 75 3038 Dowker F and Kent A 1996 J. Stat. Phys. 82 1575 Kent A 1996 Phys. Rev. A 54 4670 Kent A 1997 Phys. Rev. Lett. 78 2874 Kent A 1998 Phys. Rev. Lett. 81 1982 Isham C J, Linden N, Savvidou K and Schreckenberg S 1998 J. Math. Phys. 39 1818
101. Griffiths R B 1984 J. Stat. Phys. 36 219 Omnés R 1988 J. Stat. Phys. 53 893 Omnés R 1988 J. Stat. Phys. 53 933 Omnés R 1988 J. Stat. Phys. 53 957 Omnés R 1988 J. Stat. Phys. 54 357 Omnés R 1990 Ann. Phys., NY 201 354 Omnés R 1992 Rev. Mod. Phys. 64 339 Omnés R 1994 The Interpretation of Quantum Mechanics (Princeton, NJ: Princeton University Press) Gell-Mann M and Hartle J B 1990 Complexity, Entropy and the Physics of Information ed W H Zurek (Reading, MA: Addison-Wesley) Hartle J B 1993 Quantum mechanics of closed systems Directions in General Relativity vol 1, ed B L Hu, M P Ryan and C V Vishveswara (Cambridge: Cambridge University Press) Dowker H F and Halliwell J J 1992 Phys. Rev. D 46 1580 Halliwell J J 1993 Phys. Rev. D 48 4785 Halliwell J J 1998 Phys. Rev. D 57 2337 Brun T 1993 Phys. Rev. D 47 3383 Paz J P and Zurek W H 1993 Phys. Rev. D 48 2728 Twamley J 1993 Phys. Rev. D 48 5730 Isham C J 1994 J. Math. Phys. 35 2157 Isham C J and Linden N 1994 J. Math. Phys. 35 5452 Isham C J and Linden N 1994 J. Math. Phys. 36 5392 Halliwell J J 1995 Ann. New York Acad. Sci. 755 726 Dowker F and Kent A 1995 Phys. Rev. Lett. 75 3038 Dowker F and Kent A 1996 J. Stat. Phys. 82 1575 Kent A 1996 Phys. Rev. A 54 4670 Kent A 1997 Phys. Rev. Lett. 78 2874 Kent A 1998 Phys. Rev. Lett. 81 1982 Isham C J, Linden N, Savvidou K and Schreckenberg S 1998 J. Math. Phys. 39 1818
102. Griffiths R B 1984 J. Stat. Phys. 36 219 Omnés R 1988 J. Stat. Phys. 53 893 Omnés R 1988 J. Stat. Phys. 53 933 Omnés R 1988 J. Stat. Phys. 53 957 Omnés R 1988 J. Stat. Phys. 54 357 Omnés R 1990 Ann. Phys., NY 201 354 Omnés R 1992 Rev. Mod. Phys. 64 339 Omnés R 1994 The Interpretation of Quantum Mechanics (Princeton, NJ: Princeton University Press) Gell-Mann M and Hartle J B 1990 Complexity, Entropy and the Physics of Information ed W H Zurek (Reading, MA: Addison-Wesley) Hartle J B 1993 Quantum mechanics of closed systems Directions in General Relativity vol 1, ed B L Hu, M P Ryan and C V Vishveswara (Cambridge: Cambridge University Press) Dowker H F and Halliwell J J 1992 Phys. Rev. D 46 1580 Halliwell J J 1993 Phys. Rev. D 48 4785 Halliwell J J 1998 Phys. Rev. D 57 2337 Brun T 1993 Phys. Rev. D 47 3383 Paz J P and Zurek W H 1993 Phys. Rev. D 48 2728 Twamley J 1993 Phys. Rev. D 48 5730 Isham C J 1994 J. Math. Phys. 35 2157 Isham C J and Linden N 1994 J. Math. Phys. 35 5452 Isham C J and Linden N 1994 J. Math. Phys. 36 5392 Halliwell J J 1995 Ann. New York Acad. Sci. 755 726 Dowker F and Kent A 1995 Phys. Rev. Lett. 75 3038 Dowker F and Kent A 1996 J. Stat. Phys. 82 1575 Kent A 1996 Phys. Rev. A 54 4670 Kent A 1997 Phys. Rev. Lett. 78 2874 Kent A 1998 Phys. Rev. Lett. 81 1982 Isham C J, Linden N, Savvidou K and Schreckenberg S 1998 J. Math. Phys. 39 1818
103. Gell-Mann M and Hartle J B 1993 Phys. Rev. D 47 3345
104. Zurek W H 1981 Phys. Rev. D 24 1516 Zurek W H 1982 Phys. Rev. D 26 1862 Zurek W H 1986 Frontiers of Nonequilibrium Statistical Physics ed G T Moore and M O Scully (New York: Plenum) Zurek W H 1991 Phys. Today 44 36 Joos E and Zeh H D 1985 Z. Phys. B 59 223 Caldeira A O and Leggett A J 1985 Phys. Rev. A 31 1059 Unruh W G and Zurek W H 1989 Phys. Rev. D 40 1071 Zurek W H 1993 Prog. Theor. Phys. 89 281 Giulini D et al 1996 Decoherence and the Appearance of a Classical World in Quantum Theory (Berlin: Springer)
105. Zurek W H 1981 Phys. Rev. D 24 1516 Zurek W H 1982 Phys. Rev. D 26 1862 Zurek W H 1986 Frontiers of Nonequilibrium Statistical Physics ed G T Moore and M O Scully (New York: Plenum) Zurek W H 1991 Phys. Today 44 36 Joos E and Zeh H D 1985 Z. Phys. B 59 223 Caldeira A O and Leggett A J 1985 Phys. Rev. A 31 1059 Unruh W G and Zurek W H 1989 Phys. Rev. D 40 1071 Zurek W H 1993 Prog. Theor. Phys. 89 281 Giulini D et al 1996 Decoherence and the Appearance of a Classical World in Quantum Theory (Berlin: Springer)
106. Zurek W H 1981 Phys. Rev. D 24 1516 Zurek W H 1982 Phys. Rev. D 26 1862 Zurek W H 1986 Frontiers of Nonequilibrium Statistical Physics ed G T Moore and M O Scully (New York: Plenum) Zurek W H 1991 Phys. Today 44 36 Joos E and Zeh H D 1985 Z. Phys. B 59 223 Caldeira A O and Leggett A J 1985 Phys. Rev. A 31 1059 Unruh W G and Zurek W H 1989 Phys. Rev. D 40 1071 Zurek W H 1993 Prog. Theor. Phys. 89 281 Giulini D et al 1996 Decoherence and the Appearance of a Classical World in Quantum Theory (Berlin: Springer)
107. Zurek W H 1981 Phys. Rev. D 24 1516 Zurek W H 1982 Phys. Rev. D 26 1862 Zurek W H 1986 Frontiers of Nonequilibrium Statistical Physics ed G T Moore and M O Scully (New York: Plenum) Zurek W H 1991 Phys. Today 44 36 Joos E and Zeh H D 1985 Z. Phys. B 59 223 Caldeira A O and Leggett A J 1985 Phys. Rev. A 31 1059 Unruh W G and Zurek W H 1989 Phys. Rev. D 40 1071 Zurek W H 1993 Prog. Theor. Phys. 89 281 Giulini D et al 1996 Decoherence and the Appearance of a Classical World in Quantum Theory (Berlin: Springer)
108. Zurek W H 1981 Phys. Rev. D 24 1516 Zurek W H 1982 Phys. Rev. D 26 1862 Zurek W H 1986 Frontiers of Nonequilibrium Statistical Physics ed G T Moore and M O Scully (New York: Plenum) Zurek W H 1991 Phys. Today 44 36 Joos E and Zeh H D 1985 Z. Phys. B 59 223 Caldeira A O and Leggett A J 1985 Phys. Rev. A 31 1059 Unruh W G and Zurek W H 1989 Phys. Rev. D 40 1071 Zurek W H 1993 Prog. Theor. Phys. 89 281 Giulini D et al 1996 Decoherence and the Appearance of a Classical World in Quantum Theory (Berlin: Springer)
109. Zurek W H 1981 Phys. Rev. D 24 1516 Zurek W H 1982 Phys. Rev. D 26 1862 Zurek W H 1986 Frontiers of Nonequilibrium Statistical Physics ed G T Moore and M O Scully (New York: Plenum) Zurek W H 1991 Phys. Today 44 36 Joos E and Zeh H D 1985 Z. Phys. B 59 223 Caldeira A O and Leggett A J 1985 Phys. Rev. A 31 1059 Unruh W G and Zurek W H 1989 Phys. Rev. D 40 1071 Zurek W H 1993 Prog. Theor. Phys. 89 281 Giulini D et al 1996 Decoherence and the Appearance of a Classical World in Quantum Theory (Berlin: Springer)
110. Zurek W H 1981 Phys. Rev. D 24 1516 Zurek W H 1982 Phys. Rev. D 26 1862 Zurek W H 1986 Frontiers of Nonequilibrium Statistical Physics ed G T Moore and M O Scully (New York: Plenum) Zurek W H 1991 Phys. Today 44 36 Joos E and Zeh H D 1985 Z. Phys. B 59 223 Caldeira A O and Leggett A J 1985 Phys. Rev. A 31 1059 Unruh W G and Zurek W H 1989 Phys. Rev. D 40 1071 Zurek W H 1993 Prog. Theor. Phys. 89 281 Giulini D et al 1996 Decoherence and the Appearance of a Classical World in Quantum Theory (Berlin: Springer)
111. Zurek W H 1981 Phys. Rev. D 24 1516 Zurek W H 1982 Phys. Rev. D 26 1862 Zurek W H 1986 Frontiers of Nonequilibrium Statistical Physics ed G T Moore and M O Scully (New York: Plenum) Zurek W H 1991 Phys. Today 44 36 Joos E and Zeh H D 1985 Z. Phys. B 59 223 Caldeira A O and Leggett A J 1985 Phys. Rev. A 31 1059 Unruh W G and Zurek W H 1989 Phys. Rev. D 40 1071 Zurek W H 1993 Prog. Theor. Phys. 89 281 Giulini D et al 1996 Decoherence and the Appearance of a Classical World in Quantum Theory (Berlin: Springer)
112. Zurek W H 1981 Phys. Rev. D 24 1516 Zurek W H 1982 Phys. Rev. D 26 1862 Zurek W H 1986 Frontiers of Nonequilibrium Statistical Physics ed G T Moore and M O Scully (New York: Plenum) Zurek W H 1991 Phys. Today 44 36 Joos E and Zeh H D 1985 Z. Phys. B 59 223 Caldeira A O and Leggett A J 1985 Phys. Rev. A 31 1059 Unruh W G and Zurek W H 1989 Phys. Rev. D 40 1071 Zurek W H 1993 Prog. Theor. Phys. 89 281 Giulini D et al 1996 Decoherence and the Appearance of a Classical World in Quantum Theory (Berlin: Springer)
113. Paz J P and Sinha S 1991 Phys. Rev. D 44 1038 Paz J P and Sinha S 1992 Phys. Rev. D 45 2823
114. Paz J P and Sinha S 1991 Phys. Rev. D 44 1038 Paz J P and Sinha S 1992 Phys. Rev. D 45 2823
115. Martin R and Verdaguer E 1999 Phys. Lett. B 465 113
116. Roura A and Verdaguer E 2003 in preparation
117. Misner C W, Thorne K S and Wheeler J A 1973 Gravitation (San Francisco, CA: Freeman)
118. Wald R M 1984 General Relativity (Chicago, IL: The University of Chicago Press)
119. Calzetta E, Roura A and Verdaguer E 2003 Physica A 319 188
120. Calzetta E, Roura A and Verdaguer E 2001 Phys. Rev. D 64 105008 Calzetta E, Roura A and Verdaguer E 2002 Phys. Rev. Lett. 88 010403
121. Calzetta E, Roura A and Verdaguer E 2001 Phys. Rev. D 64 105008 Calzetta E, Roura A and Verdaguer E 2002 Phys. Rev. Lett. 88 010403
122. Horowitz G T and Wald R M 1980 Phys. Rev. D 21 1462 Horowitz G T and Wald R M 1982 Phys. Rev. D 25 3408
123. Horowitz G T and Wald R M 1980 Phys. Rev. D 21 1462 Horowitz G T and Wald R M 1982 Phys. Rev. D 25 3408
124. Hartle J B and Horowitz G T 1981 Phys. Rev. D 24 257
125. Tomboulis E 1977 Phys. Lett. B 70 361
126. Bunch T S 1979 J. Phys. A: Math. Gen. 12 517
127. Calzetta E and Hu B L 2000 Phys. Rev. D 61 025012
128. Hu B L 2002 A kinetic theory approach to quantum gravity Invited talk given at 6th Peyresq Meeting (France, June 2001) Int. J. Theor. Phys. (Preprint gr-qc/0204069)
129. Hartle J B 1995 Gravitation and Quantizations, Proc. 1992 Les Houches Summer School ed B Julia and J Zinn-Justin (Amsterdam: North-Holland) (Preprint gr-qc/9304006) and references therein
130. Dowker H F and Halliwell J J 1992 Phys. Rev. D 46 1580
131. Halliwell J J 1993 Phys. Rev. D 48 4785 Halliwell J J 1998 Phys. Rev. D 57 2337
132. Halliwell J J 1993 Phys. Rev. D 48 4785 Halliwell J J 1998 Phys. Rev. D 57 2337
133. Whelan J T 1998 Phys. Rev. D 57 768
134. Johnson P R and Hu B L 2002 Phys. Rev. D 65 065015
135. Schwinger J 1961 J. Math. Phys. 2 407 Bakshi P M and Mahanthappa K T 1963 J. Math. Phys. 4 1 Bakshi P M and Mahanthappa K T 1963 J. Math. Phys. 4 12 Keldysh L V 1964 Zh. Eksp. Teor. Fiz. 47 1515 (Engl. transl. 1965 Sov. Phys.-JETP 20 1018) Chou K, Su Z, Hao B and Yu L 1985 Phys. Rep. 118 1 Su Z, Chen L Y, Yu X and Chou K 1988 Phys. Rev. B 37 9810 Calzetta E and Hu B L 1989 Phys. Rev. D 40 656 Cooper F, Habib S, Kluger Y, Mottola E, Paz J P and Anderson P R 1994 Phys. Rev. D 50 2848
136. Schwinger J 1961 J. Math. Phys. 2 407 Bakshi P M and Mahanthappa K T 1963 J. Math. Phys. 4 1 Bakshi P M and Mahanthappa K T 1963 J. Math. Phys. 4 12 Keldysh L V 1964 Zh. Eksp. Teor. Fiz. 47 1515 (Engl. transl. 1965 Sov. Phys.-JETP 20 1018) Chou K, Su Z, Hao B and Yu L 1985 Phys. Rep. 118 1 Su Z, Chen L Y, Yu X and Chou K 1988 Phys. Rev. B 37 9810 Calzetta E and Hu B L 1989 Phys. Rev. D 40 656 Cooper F, Habib S, Kluger Y, Mottola E, Paz J P and Anderson P R 1994 Phys. Rev. D 50 2848
137. Schwinger J 1961 J. Math. Phys. 2 407 Bakshi P M and Mahanthappa K T 1963 J. Math. Phys. 4 1 Bakshi P M and Mahanthappa K T 1963 J. Math. Phys. 4 12 Keldysh L V 1964 Zh. Eksp. Teor. Fiz. 47 1515 (Engl. transl. 1965 Sov. Phys.-JETP 20 1018) Chou K, Su Z, Hao B and Yu L 1985 Phys. Rep. 118 1 Su Z, Chen L Y, Yu X and Chou K 1988 Phys. Rev. B 37 9810 Calzetta E and Hu B L 1989 Phys. Rev. D 40 656 Cooper F, Habib S, Kluger Y, Mottola E, Paz J P and Anderson P R 1994 Phys. Rev. D 50 2848
138. Schwinger J 1961 J. Math. Phys. 2 407 Bakshi P M and Mahanthappa K T 1963 J. Math. Phys. 4 1 Bakshi P M and Mahanthappa K T 1963 J. Math. Phys. 4 12 Keldysh L V 1964 Zh. Eksp. Teor. Fiz. 47 1515 (Engl. transl. 1965 Sov. Phys.-JETP 20 1018) Chou K, Su Z, Hao B and Yu L 1985 Phys. Rep. 118 1 Su Z, Chen L Y, Yu X and Chou K 1988 Phys. Rev. B 37 9810 Calzetta E and Hu B L 1989 Phys. Rev. D 40 656 Cooper F, Habib S, Kluger Y, Mottola E, Paz J P and Anderson P R 1994 Phys. Rev. D 50 2848
139. Schwinger J 1961 J. Math. Phys. 2 407 Bakshi P M and Mahanthappa K T 1963 J. Math. Phys. 4 1 Bakshi P M and Mahanthappa K T 1963 J. Math. Phys. 4 12 Keldysh L V 1964 Zh. Eksp. Teor. Fiz. 47 1515 (Engl. transl. 1965 Sov. Phys.-JETP 20 1018) Chou K, Su Z, Hao B and Yu L 1985 Phys. Rep. 118 1 Su Z, Chen L Y, Yu X and Chou K 1988 Phys. Rev. B 37 9810 Calzetta E and Hu B L 1989 Phys. Rev. D 40 656 Cooper F, Habib S, Kluger Y, Mottola E, Paz J P and Anderson P R 1994 Phys. Rev. D 50 2848
140. Schwinger J 1961 J. Math. Phys. 2 407 Bakshi P M and Mahanthappa K T 1963 J. Math. Phys. 4 1 Bakshi P M and Mahanthappa K T 1963 J. Math. Phys. 4 12 Keldysh L V 1964 Zh. Eksp. Teor. Fiz. 47 1515 (Engl. transl. 1965 Sov. Phys.-JETP 20 1018) Chou K, Su Z, Hao B and Yu L 1985 Phys. Rep. 118 1 Su Z, Chen L Y, Yu X and Chou K 1988 Phys. Rev. B 37 9810 Calzetta E and Hu B L 1989 Phys. Rev. D 40 656 Cooper F, Habib S, Kluger Y, Mottola E, Paz J P and Anderson P R 1994 Phys. Rev. D 50 2848
141. Schwinger J 1961 J. Math. Phys. 2 407 Bakshi P M and Mahanthappa K T 1963 J. Math. Phys. 4 1 Bakshi P M and Mahanthappa K T 1963 J. Math. Phys. 4 12 Keldysh L V 1964 Zh. Eksp. Teor. Fiz. 47 1515 (Engl. transl. 1965 Sov. Phys.-JETP 20 1018) Chou K, Su Z, Hao B and Yu L 1985 Phys. Rep. 118 1 Su Z, Chen L Y, Yu X and Chou K 1988 Phys. Rev. B 37 9810 Calzetta E and Hu B L 1989 Phys. Rev. D 40 656 Cooper F, Habib S, Kluger Y, Mottola E, Paz J P and Anderson P R 1994 Phys. Rev. D 50 2848
142. Schwinger J 1961 J. Math. Phys. 2 407 Bakshi P M and Mahanthappa K T 1963 J. Math. Phys. 4 1 Bakshi P M and Mahanthappa K T 1963 J. Math. Phys. 4 12 Keldysh L V 1964 Zh. Eksp. Teor. Fiz. 47 1515 (Engl. transl. 1965 Sov. Phys.-JETP 20 1018) Chou K, Su Z, Hao B and Yu L 1985 Phys. Rep. 118 1 Su Z, Chen L Y, Yu X and Chou K 1988 Phys. Rev. B 37 9810 Calzetta E and Hu B L 1989 Phys. Rev. D 40 656 Cooper F, Habib S, Kluger Y, Mottola E, Paz J P and Anderson P R 1994 Phys. Rev. D 50 2848
143. Schwinger J 1961 J. Math. Phys. 2 407 Bakshi P M and Mahanthappa K T 1963 J. Math. Phys. 4 1 Bakshi P M and Mahanthappa K T 1963 J. Math. Phys. 4 12 Keldysh L V 1964 Zh. Eksp. Teor. Fiz. 47 1515 (Engl. transl. 1965 Sov. Phys.-JETP 20 1018) Chou K, Su Z, Hao B and Yu L 1985 Phys. Rep. 118 1 Su Z, Chen L Y, Yu X and Chou K 1988 Phys. Rev. B 37 9810 Calzetta E and Hu B L 1989 Phys. Rev. D 40 656 Cooper F, Habib S, Kluger Y, Mottola E, Paz J P and Anderson P R 1994 Phys. Rev. D 50 2848
144. DeWitt B S 1986 Quantum Concepts in Space and Time ed R Penrose and C J Jsham (Oxford: Clarendon) Jordan R D 1986 Phys. Rev. D 33 444 Calzetta E and Hu B L 1987 Phys. Rev. D 35 495 Jordan R D 1987 Phys. Rev. D 36 3593 Paz J P 1990 Phys. Rev. D 41 1054
145. DeWitt B S 1986 Quantum Concepts in Space and Time ed R Penrose and C J Jsham (Oxford: Clarendon) Jordan R D 1986 Phys. Rev. D 33 444 Calzetta E and Hu B L 1987 Phys. Rev. D 35 495 Jordan R D 1987 Phys. Rev. D 36 3593 Paz J P 1990 Phys. Rev. D 41 1054
146. DeWitt B S 1986 Quantum Concepts in Space and Time ed R Penrose and C J Jsham (Oxford: Clarendon) Jordan R D 1986 Phys. Rev. D 33 444 Calzetta E and Hu B L 1987 Phys. Rev. D 35 495 Jordan R D 1987 Phys. Rev. D 36 3593 Paz J P 1990 Phys. Rev. D 41 1054
147. DeWitt B S 1986 Quantum Concepts in Space and Time ed R Penrose and C J Jsham (Oxford: Clarendon) Jordan R D 1986 Phys. Rev. D 33 444 Calzetta E and Hu B L 1987 Phys. Rev. D 35 495 Jordan R D 1987 Phys. Rev. D 36 3593 Paz J P 1990 Phys. Rev. D 41 1054
148. DeWitt B S 1986 Quantum Concepts in Space and Time ed R Penrose and C J Jsham (Oxford: Clarendon) Jordan R D 1986 Phys. Rev. D 33 444 Calzetta E and Hu B L 1987 Phys. Rev. D 35 495 Jordan R D 1987 Phys. Rev. D 36 3593 Paz J P 1990 Phys. Rev. D 41 1054
149. Campos A and Verdaguer E 1994 Phys. Rev. D 49 1861
150. Su Z, Chen L Y, Yu X and Chou K 1988 Phys. Rev. B 37 9810
151. Lombardo F and Mazzitelli F D 1996 Phys. Rev. D 53 2001
152. Greiner C and Müller B 1997 Phys. Rev. D 55 1026
153. Campos A and Hu B L 1998 Phys. Rev. D 58 125021 Campos A and Hu B L 1999 Int. J. Theor. Phys. 38 1253
154. Campos A and Hu B L 1998 Phys. Rev. D 58 125021 Campos A and Hu B L 1999 Int. J. Theor. Phys. 38 1253
155. Morikawa M 1986 Phys. Rev. D 33 3607 Lee D-S and Boyanovsky D 1993 Nucl. Phys. B 406 631
156. Morikawa M 1986 Phys. Rev. D 33 3607 Lee D-S and Boyanovsky D 1993 Nucl. Phys. B 406 631
157. Hu B L and Matacz A 1994 Phys. Rev. D 49 6612
158. Kiefer C 1987 Class. Quantum Grav. 4 1369 Halliwell J J 1989 Phys. Rev. D 39 2912 Padmanabhan T 1989 Phys. Rev. D 39 2924 Hu B L 1990 Quantum and statistical effects in superspace cosmology Quantum Mechanics in Curved Spacetime ed J Audretsch and V de Sabbata (London: Plenum) Calzetta E 1989 Class. Quantum Grav. 6 L227 Calzetta E 1991 Phys. Rev. D 43 2498 Hu B L, Paz J P and Sinha S 1993 Minisuperspace as a quantum open system Directions in General Relativity vol 1 (Misner Festschrift) ed B L Hu, M P Ryan and C V Vishveswara (Cambridge: Cambridge University Press)
159. Kiefer C 1987 Class. Quantum Grav. 4 1369 Halliwell J J 1989 Phys. Rev. D 39 2912 Padmanabhan T 1989 Phys. Rev. D 39 2924 Hu B L 1990 Quantum and statistical effects in superspace cosmology Quantum Mechanics in Curved Spacetime ed J Audretsch and V de Sabbata (London: Plenum) Calzetta E 1989 Class. Quantum Grav. 6 L227 Calzetta E 1991 Phys. Rev. D 43 2498 Hu B L, Paz J P and Sinha S 1993 Minisuperspace as a quantum open system Directions in General Relativity vol 1 (Misner Festschrift) ed B L Hu, M P Ryan and C V Vishveswara (Cambridge: Cambridge University Press)
160. Kiefer C 1987 Class. Quantum Grav. 4 1369 Halliwell J J 1989 Phys. Rev. D 39 2912 Padmanabhan T 1989 Phys. Rev. D 39 2924 Hu B L 1990 Quantum and statistical effects in superspace cosmology Quantum Mechanics in Curved Spacetime ed J Audretsch and V de Sabbata (London: Plenum) Calzetta E 1989 Class. Quantum Grav. 6 L227 Calzetta E 1991 Phys. Rev. D 43 2498 Hu B L, Paz J P and Sinha S 1993 Minisuperspace as a quantum open system Directions in General Relativity vol 1 (Misner Festschrift) ed B L Hu, M P Ryan and C V Vishveswara (Cambridge: Cambridge University Press)
161. Kiefer C 1987 Class. Quantum Grav. 4 1369 Halliwell J J 1989 Phys. Rev. D 39 2912 Padmanabhan T 1989 Phys. Rev. D 39 2924 Hu B L 1990 Quantum and statistical effects in superspace cosmology Quantum Mechanics in Curved Spacetime ed J Audretsch and V de Sabbata (London: Plenum) Calzetta E 1989 Class. Quantum Grav. 6 L227 Calzetta E 1991 Phys. Rev. D 43 2498 Hu B L, Paz J P and Sinha S 1993 Minisuperspace as a quantum open system Directions in General Relativity vol 1 (Misner Festschrift) ed B L Hu, M P Ryan and C V Vishveswara (Cambridge: Cambridge University Press)
162. Kiefer C 1987 Class. Quantum Grav. 4 1369 Halliwell J J 1989 Phys. Rev. D 39 2912 Padmanabhan T 1989 Phys. Rev. D 39 2924 Hu B L 1990 Quantum and statistical effects in superspace cosmology Quantum Mechanics in Curved Spacetime ed J Audretsch and V de Sabbata (London: Plenum) Calzetta E 1989 Class. Quantum Grav. 6 L227 Calzetta E 1991 Phys. Rev. D 43 2498 Hu B L, Paz J P and Sinha S 1993 Minisuperspace as a quantum open system Directions in General Relativity vol 1 (Misner Festschrift) ed B L Hu, M P Ryan and C V Vishveswara (Cambridge: Cambridge University Press)
163. Kiefer C 1987 Class. Quantum Grav. 4 1369 Halliwell J J 1989 Phys. Rev. D 39 2912 Padmanabhan T 1989 Phys. Rev. D 39 2924 Hu B L 1990 Quantum and statistical effects in superspace cosmology Quantum Mechanics in Curved Spacetime ed J Audretsch and V de Sabbata (London: Plenum) Calzetta E 1989 Class. Quantum Grav. 6 L227 Calzetta E 1991 Phys. Rev. D 43 2498 Hu B L, Paz J P and Sinha S 1993 Minisuperspace as a quantum open system Directions in General Relativity vol 1 (Misner Festschrift) ed B L Hu, M P Ryan and C V Vishveswara (Cambridge: Cambridge University Press)
164. Kiefer C 1987 Class. Quantum Grav. 4 1369 Halliwell J J 1989 Phys. Rev. D 39 2912 Padmanabhan T 1989 Phys. Rev. D 39 2924 Hu B L 1990 Quantum and statistical effects in superspace cosmology Quantum Mechanics in Curved Spacetime ed J Audretsch and V de Sabbata (London: Plenum) Calzetta E 1989 Class. Quantum Grav. 6 L227 Calzetta E 1991 Phys. Rev. D 43 2498 Hu B L, Paz J P and Sinha S 1993 Minisuperspace as a quantum open system Directions in General Relativity vol 1 (Misner Festschrift) ed B L Hu, M P Ryan and C V Vishveswara (Cambridge: Cambridge University Press)
165. Donoghue J F 1994 Phys. Rev. Lett. 72 2996 Donoghue J F 1994 Phys. Rev. D 50 3874 Donoghue J F 1996 Helv. Phys. Acta 69 269 Donoghue J F 1996 Advanced School on Effective Theories ed F Cornet and M J Herrero (Singapore: World Scientific) Donoghue J F 1995 Preprint gr-qc/9512024 Donoghue J F 1997 Preprint gr-qc/9712070
166. Donoghue J F 1994 Phys. Rev. Lett. 72 2996 Donoghue J F 1994 Phys. Rev. D 50 3874 Donoghue J F 1996 Helv. Phys. Acta 69 269 Donoghue J F 1996 Advanced School on Effective Theories ed F Cornet and M J Herrero (Singapore: World Scientific) Donoghue J F 1995 Preprint gr-qc/9512024 Donoghue J F 1997 Preprint gr-qc/9712070
167. Donoghue J F 1994 Phys. Rev. Lett. 72 2996 Donoghue J F 1994 Phys. Rev. D 50 3874 Donoghue J F 1996 Helv. Phys. Acta 69 269 Donoghue J F 1996 Advanced School on Effective Theories ed F Cornet and M J Herrero (Singapore: World Scientific) Donoghue J F 1995 Preprint gr-qc/9512024 Donoghue J F 1997 Preprint gr-qc/9712070
168. Donoghue J F 1994 Phys. Rev. Lett. 72 2996 Donoghue J F 1994 Phys. Rev. D 50 3874 Donoghue J F 1996 Helv. Phys. Acta 69 269 Donoghue J F 1996 Advanced School on Effective Theories ed F Cornet and M J Herrero (Singapore: World Scientific) Donoghue J F 1995 Preprint gr-qc/9512024 Donoghue J F 1997 Preprint gr-qc/9712070
169. Donoghue J F 1994 Phys. Rev. Lett. 72 2996 Donoghue J F 1994 Phys. Rev. D 50 3874 Donoghue J F 1996 Helv. Phys. Acta 69 269 Donoghue J F 1996 Advanced School on Effective Theories ed F Cornet and M J Herrero (Singapore: World Scientific) Donoghue J F 1995 Preprint gr-qc/9512024 Donoghue J F 1997 Preprint gr-qc/9712070
170. Donoghue J F 1994 Phys. Rev. Lett. 72 2996 Donoghue J F 1994 Phys. Rev. D 50 3874 Donoghue J F 1996 Helv. Phys. Acta 69 269 Donoghue J F 1996 Advanced School on Effective Theories ed F Cornet and M J Herrero (Singapore: World Scientific) Donoghue J F 1995 Preprint gr-qc/9512024 Donoghue J F 1997 Preprint gr-qc/9712070
171. Sinha S and Hu B L 1991 Phys. Rev. D 44 1028
172. Calzetta E and Hu B L 1997 Phys. Rev. D 55 1795
173. Weinberg S 1995 The Quantum Theory of Fields vol I (Cambridge: Cambridge University Press) Weinberg S 1996 The Quantum Theory of Fields vol II (Cambridge: Cambridge University Press)
174. Weinberg S 1995 The Quantum Theory of Fields vol I (Cambridge: Cambridge University Press) Weinberg S 1996 The Quantum Theory of Fields vol II (Cambridge: Cambridge University Press)
175. Gleiser M and Ramos R O 1994 Phys. Rev. D 50 2441 Boyanovsky D, de Vega H J, Holman R, S-Lee D and Singh A 1995 Phys. Rev. D 51 4419 Yamaguchi M and Yokoyama J 1997 Phys. Rev. D 56 4544 Ramsey S A, Hu B L and Stylianopoulos A M 1998 Phys. Rev. D 57 6003
176. Gleiser M and Ramos R O 1994 Phys. Rev. D 50 2441 Boyanovsky D, de Vega H J, Holman R, S-Lee D and Singh A 1995 Phys. Rev. D 51 4419 Yamaguchi M and Yokoyama J 1997 Phys. Rev. D 56 4544 Ramsey S A, Hu B L and Stylianopoulos A M 1998 Phys. Rev. D 57 6003
177. Gleiser M and Ramos R O 1994 Phys. Rev. D 50 2441 Boyanovsky D, de Vega H J, Holman R, S-Lee D and Singh A 1995 Phys. Rev. D 51 4419 Yamaguchi M and Yokoyama J 1997 Phys. Rev. D 56 4544 Ramsey S A, Hu B L and Stylianopoulos A M 1998 Phys. Rev. D 57 6003
178. Gleiser M and Ramos R O 1994 Phys. Rev. D 50 2441 Boyanovsky D, de Vega H J, Holman R, S-Lee D and Singh A 1995 Phys. Rev. D 51 4419 Yamaguchi M and Yokoyama J 1997 Phys. Rev. D 56 4544 Ramsey S A, Hu B L and Stylianopoulos A M 1998 Phys. Rev. D 57 6003
179. Hajicek P and Israel W 1980 Phys. Lett. A 80 9
180. Bardeen J M 1981 Phys. Rev. Lett. 46 382
181. York J W Jr 1983 Phys. Rev. D 28 2929 York J W Jr 1985 Phys. Rev. D 31 775 York J W Jr 1986 Phys. Rev. D 33 2092
182. York J W Jr 1983 Phys. Rev. D 28 2929 York J W Jr 1985 Phys. Rev. D 31 775 York J W Jr 1986 Phys. Rev. D 33 2092
183. York J W Jr 1983 Phys. Rev. D 28 2929 York J W Jr 1985 Phys. Rev. D 31 775 York J W Jr 1986 Phys. Rev. D 33 2092
184. Kay B S, Radzikowski M J and Wald R M 1997 Commun. Math. Phys. 183 533 Kay B S 1996 Quantum fields in curved spacetime: non global hyperbolicity and locality Proc. Conf. 'Operator Algebras and Quantum Field Theory' (Accademia Nazionale dei Lincei, Roma, Italy, July 1996) ed S Doplicher, R Longo, J Roberts and L Zsido (Preprint gr-qc/9704075)
185. Kay B S, Radzikowski M J and Wald R M 1997 Commun. Math. Phys. 183 533 Kay B S 1996 Quantum fields in curved spacetime: non global hyperbolicity and locality Proc. Conf. 'Operator Algebras and Quantum Field Theory' (Accademia Nazionale dei Lincei, Roma, Italy, July 1996) ed S Doplicher, R Longo, J Roberts and L Zsido (Preprint gr-qc/9704075)
186. Flanagan É É and Wald R M 1996 Phys. Rev. D 54 6233
187. See, e.g., Davies E B 1976 The Quantum Theory of Open Systems (London: Academic) Lindenberg K and West B J 1990 The Nonequilibrium Statistical Mechanics of Open and Closed Systems (New York: VCH) Weiss U 1993 Quantum Dissipative Systems (Singapore: World Scientific)
188. See, e.g., Davies E B 1976 The Quantum Theory of Open Systems (London: Academic) Lindenberg K and West B J 1990 The Nonequilibrium Statistical Mechanics of Open and Closed Systems (New York: VCH) Weiss U 1993 Quantum Dissipative Systems (Singapore: World Scientific)
189. See, e.g., Davies E B 1976 The Quantum Theory of Open Systems (London: Academic) Lindenberg K and West B J 1990 The Nonequilibrium Statistical Mechanics of Open and Closed Systems (New York: VCH) Weiss U 1993 Quantum Dissipative Systems (Singapore: World Scientific)
190. Caldeira A O and Leggett A J 1983 Physica A 121 587 Grabert H, Schramm P and Ingold G L 1988 Phys. Rep. 168 115 Hu B L, Paz J P and Zhang Y 1992 Phys. Rev. D 45 2843 Hu B L, Paz J P and Zhang Y 1993 Phys. Rev. D 47 1576
191. Caldeira A O and Leggett A J 1983 Physica A 121 587 Grabert H, Schramm P and Ingold G L 1988 Phys. Rep. 168 115 Hu B L, Paz J P and Zhang Y 1992 Phys. Rev. D 45 2843 Hu B L, Paz J P and Zhang Y 1993 Phys. Rev. D 47 1576
192. Caldeira A O and Leggett A J 1983 Physica A 121 587 Grabert H, Schramm P and Ingold G L 1988 Phys. Rep. 168 115 Hu B L, Paz J P and Zhang Y 1992 Phys. Rev. D 45 2843 Hu B L, Paz J P and Zhang Y 1993 Phys. Rev. D 47 1576
193. Caldeira A O and Leggett A J 1983 Physica A 121 587 Grabert H, Schramm P and Ingold G L 1988 Phys. Rep. 168 115 Hu B L, Paz J P and Zhang Y 1992 Phys. Rev. D 45 2843 Hu B L, Paz J P and Zhang Y 1993 Phys. Rev. D 47 1576
194. Starobinsky A A 1980 Phys. Lett. B 91 99
195. Vilenkin A 1985 Phys. Rev. D 32 2511
196. Hawking S W, Hertog T and Reall H S 2001 Phys. Rev. D 63 083504
197. Frieman J A 1989 Phys. Rev. D 39 389 Cespedes J and Verdaguer E 1990 Phys. Rev. D 41 1022
198. Frieman J A 1989 Phys. Rev. D 39 389 Cespedes J and Verdaguer E 1990 Phys. Rev. D 41 1022
199. Hochberg D and Kephart T W 1993 Phys. Rev. D 47 1465
200. Hochberg D, Kephart T W and York J W Jr 1993 Phys. Rev. D 48 479
201. Anderson P R, Hiscock W A, Whitesell J and York J W Jr 1994 Phys. Rev. D 50 6427
202. Jenson B P, McLaughlin J G and Ottewill A C 1995 Phys. Rev. D 51 5676
203. Parentani R and Piran T 1994 Phys. Rev. Lett. 73 2805 Massar S 1995 Phys. Rev. D 52 5857
204. Parentani R and Piran T 1994 Phys. Rev. Lett. 73 2805 Massar S 1995 Phys. Rev. D 52 5857
205. Anderson P R, Hiscock W A and Samuel D A 1993 Phys. Rev. Lett. 70 1739 Anderson P R, Hiscock W A and Samuel D A 1995 Phys. Rev. D 51 4337
206. Anderson P R, Hiscock W A and Samuel D A 1993 Phys. Rev. Lett. 70 1739 Anderson P R, Hiscock W A and Samuel D A 1995 Phys. Rev. D 51 4337
207. Anderson P R, Hiscock W A and Loranz D J 1995 Phys. Rev. Lett. 74 4365
208. Hiscock W A, Larson S L and Anderson P A 1997 Phys. Rev. D 56 3571
209. Howard K W and Candelas P 1984 Phys. Rev. Lett. 53 403
210. Howard K W 1984 Phys. Rev. D 30 2532
211. Jensen B P and Ottewill A 1989 Phys. Rev. D 39 1130
212. Page D N 1982 Phys. Rev. D 25 1499
213. Brown M R and Ottewill A C 1985 Phys. Rev. D 31 2514
214. Brown M R, Ottewill A C and Page D N 1986 Phys. Rev. D 33 2840
215. Frolov V P and Zel'nikov A I 1987 Phys. Rev. D 35 3031
216. Frolov V P and Zel'nikov A I 1982 Phys. Lett. B 115 372
217. Frolov V P and Zel'nikov A I 1984 Phys. Rev. D 29 1057
218. Bekenstein J D 1973 Phys. Rev. D 7 1333
219. Bekenstein J D 1994 Do we understand black hole entropy? Proc. 7th Marcel Grossman Meeting (Stanford University, 1994) Preprint gr-qc/9409015 Bekenstein J D and Mukhanov V F 1995 Phys. Lett. B 360 7 Sorkin R D 1998 The statistical mechanics of black hole thermodynamics Black Holes and Relativistic Stars ed R M Wald (Chicago, IL: University of Chicago Press) pp 177-94 (Preprint gr-qc/9705006) Jacobson T 1999 On the nature of black hole entropy General Relativity and Relativistic Astrophysics: Eighth Canadian Conf. (AIP Conference Proceedings vol 493) ed C Burgess and R C Myers (New York: AIP) pp 85-97 (Preprint gr-qc/9908031) Wald R M 2002 Advances in the Interplay Between Quantum and Gravity Physics (Erice Lectures, May 2001) ed P Bergmann and V D Sabbata (Dordrecht: Kluwer) (Preprint gr-qc/9912119) Wald R M 2001 The thermodynamics of black holes Living Rev. Rel. 4 6
220. Bekenstein J D 1994 Do we understand black hole entropy? Proc. 7th Marcel Grossman Meeting (Stanford University, 1994) Preprint gr-qc/9409015 Bekenstein J D and Mukhanov V F 1995 Phys. Lett. B 360 7 Sorkin R D 1998 The statistical mechanics of black hole thermodynamics Black Holes and Relativistic Stars ed R M Wald (Chicago, IL: University of Chicago Press) pp 177-94 (Preprint gr-qc/9705006) Jacobson T 1999 On the nature of black hole entropy General Relativity and Relativistic Astrophysics: Eighth Canadian Conf. (AIP Conference Proceedings vol 493) ed C Burgess and R C Myers (New York: AIP) pp 85-97 (Preprint gr-qc/9908031) Wald R M 2002 Advances in the Interplay Between Quantum and Gravity Physics (Erice Lectures, May 2001) ed P Bergmann and V D Sabbata (Dordrecht: Kluwer) (Preprint gr-qc/9912119) Wald R M 2001 The thermodynamics of black holes Living Rev. Rel. 4 6
221. Bekenstein J D 1994 Do we understand black hole entropy? Proc. 7th Marcel Grossman Meeting (Stanford University, 1994) Preprint gr-qc/9409015 Bekenstein J D and Mukhanov V F 1995 Phys. Lett. B 360 7 Sorkin R D 1998 The statistical mechanics of black hole thermodynamics Black Holes and Relativistic Stars ed R M Wald (Chicago, IL: University of Chicago Press) pp 177-94 (Preprint gr-qc/9705006) Jacobson T 1999 On the nature of black hole entropy General Relativity and Relativistic Astrophysics: Eighth Canadian Conf. (AIP Conference Proceedings vol 493) ed C Burgess and R C Myers (New York: AIP) pp 85-97 (Preprint gr-qc/9908031) Wald R M 2002 Advances in the Interplay Between Quantum and Gravity Physics (Erice Lectures, May 2001) ed P Bergmann and V D Sabbata (Dordrecht: Kluwer) (Preprint gr-qc/9912119) Wald R M 2001 The thermodynamics of black holes Living Rev. Rel. 4 6
222. Bekenstein J D 1994 Do we understand black hole entropy? Proc. 7th Marcel Grossman Meeting (Stanford University, 1994) Preprint gr-qc/9409015 Bekenstein J D and Mukhanov V F 1995 Phys. Lett. B 360 7 Sorkin R D 1998 The statistical mechanics of black hole thermodynamics Black Holes and Relativistic Stars ed R M Wald (Chicago, IL: University of Chicago Press) pp 177-94 (Preprint gr-qc/9705006) Jacobson T 1999 On the nature of black hole entropy General Relativity and Relativistic Astrophysics: Eighth Canadian Conf. (AIP Conference Proceedings vol 493) ed C Burgess and R C Myers (New York: AIP) pp 85-97 (Preprint gr-qc/9908031) Wald R M 2002 Advances in the Interplay Between Quantum and Gravity Physics (Erice Lectures, May 2001) ed P Bergmann and V D Sabbata (Dordrecht: Kluwer) (Preprint gr-qc/9912119) Wald R M 2001 The thermodynamics of black holes Living Rev. Rel. 4 6
223. Bekenstein J D 1994 Do we understand black hole entropy? Proc. 7th Marcel Grossman Meeting (Stanford University, 1994) Preprint gr-qc/9409015 Bekenstein J D and Mukhanov V F 1995 Phys. Lett. B 360 7 Sorkin R D 1998 The statistical mechanics of black hole thermodynamics Black Holes and Relativistic Stars ed R M Wald (Chicago, IL: University of Chicago Press) pp 177-94 (Preprint gr-qc/9705006) Jacobson T 1999 On the nature of black hole entropy General Relativity and Relativistic Astrophysics: Eighth Canadian Conf. (AIP Conference Proceedings vol 493) ed C Burgess and R C Myers (New York: AIP) pp 85-97 (Preprint gr-qc/9908031) Wald R M 2002 Advances in the Interplay Between Quantum and Gravity Physics (Erice Lectures, May 2001) ed P Bergmann and V D Sabbata (Dordrecht: Kluwer) (Preprint gr-qc/9912119) Wald R M 2001 The thermodynamics of black holes Living Rev. Rel. 4 6
224. Bekenstein J D 1994 Do we understand black hole entropy? Proc. 7th Marcel Grossman Meeting (Stanford University, 1994) Preprint gr-qc/9409015 Bekenstein J D and Mukhanov V F 1995 Phys. Lett. B 360 7 Sorkin R D 1998 The statistical mechanics of black hole thermodynamics Black Holes and Relativistic Stars ed R M Wald (Chicago, IL: University of Chicago Press) pp 177-94 (Preprint gr-qc/9705006) Jacobson T 1999 On the nature of black hole entropy General Relativity and Relativistic Astrophysics: Eighth Canadian Conf. (AIP Conference Proceedings vol 493) ed C Burgess and R C Myers (New York: AIP) pp 85-97 (Preprint gr-qc/9908031) Wald R M 2002 Advances in the Interplay Between Quantum and Gravity Physics (Erice Lectures, May 2001) ed P Bergmann and V D Sabbata (Dordrecht: Kluwer) (Preprint gr-qc/9912119) Wald R M 2001 The thermodynamics of black holes Living Rev. Rel. 4 6
225. Susskind L and Uglam J 1994 Phys. Rev. D 50 2700 Kabat D, Shenker S H and Strassler M J 1995 Phys. Rev. D 52 7027 Strominger A and Vafa C 1996 Phys. Lett. B 379 99 Horowitz G T 1996 The origin of black hole entropy in string theory Proc. Pacific Conf. Gravitation and Cosmology (Seoul, Korea, Feb. 1996) Preprint gr-qc/9604051 Horowitz G and Polchinski J 1997 Phys. Rev. D 55 6189 Maldacena J M, Strominger A and Witten E 1997 J. High Energy Phys. JHEP12(1997)002 Maldacena J M 1998 Nucl. Phys. Proc. Suppl. A 61 111
226. Susskind L and Uglam J 1994 Phys. Rev. D 50 2700 Kabat D, Shenker S H and Strassler M J 1995 Phys. Rev. D 52 7027 Strominger A and Vafa C 1996 Phys. Lett. B 379 99 Horowitz G T 1996 The origin of black hole entropy in string theory Proc. Pacific Conf. Gravitation and Cosmology (Seoul, Korea, Feb. 1996) Preprint gr-qc/9604051 Horowitz G and Polchinski J 1997 Phys. Rev. D 55 6189 Maldacena J M, Strominger A and Witten E 1997 J. High Energy Phys. JHEP12(1997)002 Maldacena J M 1998 Nucl. Phys. Proc. Suppl. A 61 111
227. Susskind L and Uglam J 1994 Phys. Rev. D 50 2700 Kabat D, Shenker S H and Strassler M J 1995 Phys. Rev. D 52 7027 Strominger A and Vafa C 1996 Phys. Lett. B 379 99 Horowitz G T 1996 The origin of black hole entropy in string theory Proc. Pacific Conf. Gravitation and Cosmology (Seoul, Korea, Feb. 1996) Preprint gr-qc/9604051 Horowitz G and Polchinski J 1997 Phys. Rev. D 55 6189 Maldacena J M, Strominger A and Witten E 1997 J. High Energy Phys. JHEP12(1997)002 Maldacena J M 1998 Nucl. Phys. Proc. Suppl. A 61 111
228. Susskind L and Uglam J 1994 Phys. Rev. D 50 2700 Kabat D, Shenker S H and Strassler M J 1995 Phys. Rev. D 52 7027 Strominger A and Vafa C 1996 Phys. Lett. B 379 99 Horowitz G T 1996 The origin of black hole entropy in string theory Proc. Pacific Conf. Gravitation and Cosmology (Seoul, Korea, Feb. 1996) Preprint gr-qc/9604051 Horowitz G and Polchinski J 1997 Phys. Rev. D 55 6189 Maldacena J M, Strominger A and Witten E 1997 J. High Energy Phys. JHEP12(1997)002 Maldacena J M 1998 Nucl. Phys. Proc. Suppl. A 61 111
229. Susskind L and Uglam J 1994 Phys. Rev. D 50 2700 Kabat D, Shenker S H and Strassler M J 1995 Phys. Rev. D 52 7027 Strominger A and Vafa C 1996 Phys. Lett. B 379 99 Horowitz G T 1996 The origin of black hole entropy in string theory Proc. Pacific Conf. Gravitation and Cosmology (Seoul, Korea, Feb. 1996) Preprint gr-qc/9604051 Horowitz G and Polchinski J 1997 Phys. Rev. D 55 6189 Maldacena J M, Strominger A and Witten E 1997 J. High Energy Phys. JHEP12(1997)002 Maldacena J M 1998 Nucl. Phys. Proc. Suppl. A 61 111
230. Susskind L and Uglam J 1994 Phys. Rev. D 50 2700 Kabat D, Shenker S H and Strassler M J 1995 Phys. Rev. D 52 7027 Strominger A and Vafa C 1996 Phys. Lett. B 379 99 Horowitz G T 1996 The origin of black hole entropy in string theory Proc. Pacific Conf. Gravitation and Cosmology (Seoul, Korea, Feb. 1996) Preprint gr-qc/9604051 Horowitz G and Polchinski J 1997 Phys. Rev. D 55 6189 Maldacena J M, Strominger A and Witten E 1997 J. High Energy Phys. JHEP12(1997)002 Maldacena J M 1998 Nucl. Phys. Proc. Suppl. A 61 111
231. Susskind L and Uglam J 1994 Phys. Rev. D 50 2700 Kabat D, Shenker S H and Strassler M J 1995 Phys. Rev. D 52 7027 Strominger A and Vafa C 1996 Phys. Lett. B 379 99 Horowitz G T 1996 The origin of black hole entropy in string theory Proc. Pacific Conf. Gravitation and Cosmology (Seoul, Korea, Feb. 1996) Preprint gr-qc/9604051 Horowitz G and Polchinski J 1997 Phys. Rev. D 55 6189 Maldacena J M, Strominger A and Witten E 1997 J. High Energy Phys. JHEP12(1997)002 Maldacena J M 1998 Nucl. Phys. Proc. Suppl. A 61 111
232. Page D M 1994 Black hole information Proc. 5th Canadian Conf. General Relativity and Relativistic Astrophysics ed R B Mann and R G McLenaghan (Singapore: World Scientific) (Preprint hep-th/9305040)
233. Hawking S W and Page D 1983 Commun. Math. Phys. 87 577
234. Hu B L 1994 Quantum statistical fields in gravitation and cosmology Proc. 3rd Int. Workshop on Thermal Field Theory and Applications ed R Kobes and G Kunstatter (Singapore: World Scientific) (Preprint gr-qc/9403061)
235. Hu B L, Raval A and Sinha S 1999 Notes on black hole fluctuations and backreaction Black Holes, Gravitational Radiation and the Universe ed B R Iyer and B Bhawal (Dordrecht: Kluwer)
236. Sinha S, Raval A and Hu B L 2003 Black hole fluctuations and backreaction in stochastic gravity Found. Phys. 33 at press
237. Einstein A 1905 Ann. Phys., Lpz 17 549 Einstein A 1906 Ann. Phys., Lpz 19 371 Nyquist H 1928 Phys. Rev. 32 110 Callen H B and Welton T A 1951 Phys. Rev. 83 34 Callen H B and Greene R F 1952 Phys. Rev. 86 702 Weber J 1956 Phys. Rev. 101 1620
238. Einstein A 1905 Ann. Phys., Lpz 17 549 Einstein A 1906 Ann. Phys., Lpz 19 371 Nyquist H 1928 Phys. Rev. 32 110 Callen H B and Welton T A 1951 Phys. Rev. 83 34 Callen H B and Greene R F 1952 Phys. Rev. 86 702 Weber J 1956 Phys. Rev. 101 1620
239. Einstein A 1905 Ann. Phys., Lpz 17 549 Einstein A 1906 Ann. Phys., Lpz 19 371 Nyquist H 1928 Phys. Rev. 32 110 Callen H B and Welton T A 1951 Phys. Rev. 83 34 Callen H B and Greene R F 1952 Phys. Rev. 86 702 Weber J 1956 Phys. Rev. 101 1620
240. Einstein A 1905 Ann. Phys., Lpz 17 549 Einstein A 1906 Ann. Phys., Lpz 19 371 Nyquist H 1928 Phys. Rev. 32 110 Callen H B and Welton T A 1951 Phys. Rev. 83 34 Callen H B and Greene R F 1952 Phys. Rev. 86 702 Weber J 1956 Phys. Rev. 101 1620
241. Einstein A 1905 Ann. Phys., Lpz 17 549 Einstein A 1906 Ann. Phys., Lpz 19 371 Nyquist H 1928 Phys. Rev. 32 110 Callen H B and Welton T A 1951 Phys. Rev. 83 34 Callen H B and Greene R F 1952 Phys. Rev. 86 702 Weber J 1956 Phys. Rev. 101 1620
242. Einstein A 1905 Ann. Phys., Lpz 17 549 Einstein A 1906 Ann. Phys., Lpz 19 371 Nyquist H 1928 Phys. Rev. 32 110 Callen H B and Welton T A 1951 Phys. Rev. 83 34 Callen H B and Greene R F 1952 Phys. Rev. 86 702 Weber J 1956 Phys. Rev. 101 1620
243. Candelas P and Sciama D W 1977 Phys. Rev. Lett. 38 1372 Sciama D W 1979 Relativity, Quanta and Cosmology - Centenario di Einstein ed F DeFinis (Firenze, Italy: Editrici Giunti Barbera Universitaria) Sciama D, Candelas P and Deutsch D 1981 Adv. Phys. 30 327
244. Candelas P and Sciama D W 1977 Phys. Rev. Lett. 38 1372 Sciama D W 1979 Relativity, Quanta and Cosmology - Centenario di Einstein ed F DeFinis (Firenze, Italy: Editrici Giunti Barbera Universitaria) Sciama D, Candelas P and Deutsch D 1981 Adv. Phys. 30 327
245. Candelas P and Sciama D W 1977 Phys. Rev. Lett. 38 1372 Sciama D W 1979 Relativity, Quanta and Cosmology - Centenario di Einstein ed F DeFinis (Firenze, Italy: Editrici Giunti Barbera Universitaria) Sciama D, Candelas P and Deutsch D 1981 Adv. Phys. 30 327
246. Mottola E 1986 Phys. Rev. D 33 2136
247. Kubo R 1957 J. Phys. Soc. Japan 12 570 Bernard W and Callen H B 1959 Rev. Mod. Phys. 31 1017 Kubo R 1966 Rep. Prog. Phys. 29 255 Landau L, Lifshitz E and Pitaevsky L 1980 Statistical Physics vol 1 (London: Pergamon) Kubo R, Toda M and Hashitsume N 1985 Statistical Physics II (Berlin: Springer)
248. Kubo R 1957 J. Phys. Soc. Japan 12 570 Bernard W and Callen H B 1959 Rev. Mod. Phys. 31 1017 Kubo R 1966 Rep. Prog. Phys. 29 255 Landau L, Lifshitz E and Pitaevsky L 1980 Statistical Physics vol 1 (London: Pergamon) Kubo R, Toda M and Hashitsume N 1985 Statistical Physics II (Berlin: Springer)
249. Kubo R 1957 J. Phys. Soc. Japan 12 570 Bernard W and Callen H B 1959 Rev. Mod. Phys. 31 1017 Kubo R 1966 Rep. Prog. Phys. 29 255 Landau L, Lifshitz E and Pitaevsky L 1980 Statistical Physics vol 1 (London: Pergamon) Kubo R, Toda M and Hashitsume N 1985 Statistical Physics II (Berlin: Springer)
250. Kubo R 1957 J. Phys. Soc. Japan 12 570 Bernard W and Callen H B 1959 Rev. Mod. Phys. 31 1017 Kubo R 1966 Rep. Prog. Phys. 29 255 Landau L, Lifshitz E and Pitaevsky L 1980 Statistical Physics vol 1 (London: Pergamon) Kubo R, Toda M and Hashitsume N 1985 Statistical Physics II (Berlin: Springer)
251. Kubo R 1957 J. Phys. Soc. Japan 12 570 Bernard W and Callen H B 1959 Rev. Mod. Phys. 31 1017 Kubo R 1966 Rep. Prog. Phys. 29 255 Landau L, Lifshitz E and Pitaevsky L 1980 Statistical Physics vol 1 (London: Pergamon) Kubo R, Toda M and Hashitsume N 1985 Statistical Physics II (Berlin: Springer)
252. Roura A and Verdaguer E 1999 Int. J. Theor. Phys. 38 3123 Roura A and Verdaguer E 2000 Int. J. Theor. Phys. 39 1831
253. Roura A and Verdaguer E 1999 Int. J. Theor. Phys. 38 3123 Roura A and Verdaguer E 2000 Int. J. Theor. Phys. 39 1831
254. Hartle J B and Hawking S W 1976 Phys. Rev. D 13 2188
255. Gibbons G and Perry M J 1978 Proc. R. Soc. A 358 467
256. Gross D J, Perry M J and Yaffe L G 1982 Phys. Rev. D 25 330
257. Rebhan A 1991 Nucl. Phys. B 351 706 Rebhan A 1992 Nucl. Phys. B 369 479
258. Rebhan A 1991 Nucl. Phys. B 351 706 Rebhan A 1992 Nucl. Phys. B 369 479
259. de Almeida A P, Brandt F T and Frenkel J 1994 Phys. Rev. D 49 4196 Brandt F T and Frenkel J 1998 Phys. Rev. D 58 085012
260. de Almeida A P, Brandt F T and Frenkel J 1994 Phys. Rev. D 49 4196 Brandt F T and Frenkel J 1998 Phys. Rev. D 58 085012
261. Hu B L 1981 Phys. Lett. B 103 331
262. Weldon H A 1982 Phys. Rev. D 26 1394
263. Mukhanov V F, Feldman H A and Brandenberger R H 1992 Phys. Rep. 215 203
264. Starobinsky A A 1986 Field Theory, Quantum Gravity and Strings ed H J de Vega and N Sanchez (Berlin: Springer)
265. Hu B L and Zhang Y 1990 Coarse-graining, scaling, and inflation Preprint 90-186 Hu B L 1991 Relativity and Gravitation: Classical and Quantum, Proc. SILARG VII (Cocoyoc, Mexico, 1990) ed J C D'Olivo et al (Singapore: World Scientific) Calzetta E, Hu B L and Mazzitelli F D 2001 Phys. Rep. 352 459
266. Hu B L and Zhang Y 1990 Coarse-graining, scaling, and inflation Preprint 90-186 Hu B L 1991 Relativity and Gravitation: Classical and Quantum, Proc. SILARG VII (Cocoyoc, Mexico, 1990) ed J C D'Olivo et al (Singapore: World Scientific) Calzetta E, Hu B L and Mazzitelli F D 2001 Phys. Rep. 352 459
267. Hu B L and Zhang Y 1990 Coarse-graining, scaling, and inflation Preprint 90-186 Hu B L 1991 Relativity and Gravitation: Classical and Quantum, Proc. SILARG VII (Cocoyoc, Mexico, 1990) ed J C D'Olivo et al (Singapore: World Scientific) Calzetta E, Hu B L and Mazzitelli F D 2001 Phys. Rep. 352 459
268. Calzetta E and Hu B L 1995 Phys. Rev. D 52 6770 Matacz A 1997 Phys. Rev. D 55 1860 Matacz A 1997 Phys. Rev. 56 1836 Calzetta E and Gonorazky S 1997 Phys. Rev. D 55 1812
269. Calzetta E and Hu B L 1995 Phys. Rev. D 52 6770 Matacz A 1997 Phys. Rev. D 55 1860 Matacz A 1997 Phys. Rev. 56 1836 Calzetta E and Gonorazky S 1997 Phys. Rev. D 55 1812
270. Calzetta E and Hu B L 1995 Phys. Rev. D 52 6770 Matacz A 1997 Phys. Rev. D 55 1860 Matacz A 1997 Phys. Rev. 56 1836 Calzetta E and Gonorazky S 1997 Phys. Rev. D 55 1812
271. Calzetta E and Hu B L 1995 Phys. Rev. D 52 6770 Matacz A 1997 Phys. Rev. D 55 1860 Matacz A 1997 Phys. Rev. 56 1836 Calzetta E and Gonorazky S 1997 Phys. Rev. D 55 1812
272. Casher A, Englert F, Itzhaki N, Massar S and Parentani R 1997 Nucl. Phys. B 484 419
273. Sorkin R D 1996 How wrinkled is the surface of the black hole? Proc. 1st Australasian Conf. General Relativity and Gravitation (Adelaide, Australia, Feb. 1996) ed D Wiltshire (Adelaide: University of Adelaide) pp 163-74 (Preprint gr-qc/9701056) Sorkin R D and Sudarsky D 1999 Class. Quantum Grav. 16 3835
274. Sorkin R D 1996 How wrinkled is the surface of the black hole? Proc. 1st Australasian Conf. General Relativity and Gravitation (Adelaide, Australia, Feb. 1996) ed D Wiltshire (Adelaide: University of Adelaide) pp 163-74 (Preprint gr-qc/9701056) Sorkin R D and Sudarsky D 1999 Class. Quantum Grav. 16 3835
275. Barrabes C, Frolov V and Parentani R 1999 Phys. Rev. D 59 124010 Barrabes C, Frolov V and Parentani R 2000 Phys. Rev. D 62 044020 Massar S and Parentani R 2000 Nucl. Phys. B 575 353 Parentani R 2001 Phys. Rev. D 63 041503
276. Barrabes C, Frolov V and Parentani R 1999 Phys. Rev. D 59 124010 Barrabes C, Frolov V and Parentani R 2000 Phys. Rev. D 62 044020 Massar S and Parentani R 2000 Nucl. Phys. B 575 353 Parentani R 2001 Phys. Rev. D 63 041503
277. Barrabes C, Frolov V and Parentani R 1999 Phys. Rev. D 59 124010 Barrabes C, Frolov V and Parentani R 2000 Phys. Rev. D 62 044020 Massar S and Parentani R 2000 Nucl. Phys. B 575 353 Parentani R 2001 Phys. Rev. D 63 041503
278. Barrabes C, Frolov V and Parentani R 1999 Phys. Rev. D 59 124010 Barrabes C, Frolov V and Parentani R 2000 Phys. Rev. D 62 044020 Massar S and Parentani R 2000 Nucl. Phys. B 575 353 Parentani R 2001 Phys. Rev. D 63 041503
279. Ford L H and Svaiter N F 1997 Phys. Rev. D 56 2226
280. Wu C H and Ford L H 1999 Phys. Rev. D 60 104013
281. Hu B L and Shiokawa K 1998 Phys. Rev. D 57 3474
282. Shiokawa K 2000 Phys. Rev. D 62 024002
283. Hu B L 1996 General relativity as geometro-hydrodynamics Invited talk at 2nd Sakharov Conf. (Moscow, May 1996) Preprint gr-qc/9607070
284. Hu B L 1996 Correlation dynamics of quantum fields and black hole information paradox String Gravity and Physics at the Planck Energy Scale (Erice Lectures, Sept. 1995) ed N Sanchez and A Zichichi (Dordrecht: Kluwer) (Preprint gr-qc/9511075)