On the invariance of spatially inhomogeneous relaxation processes

Journal of Physics A: Mathematical and Theoretical

Volumn 45, Issue 1, 2012, Pages

  Eliazar, Iddo ^a   Bénichou, Olivier ^b  

^a HOLON INSTITUTE OF TECHNOLOGY   (Israel)

^b SORBONNE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 83455228343     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/45/1/015003     Document Type: Article

References (61)

1. Van Kampen N G 2007 Stochastic Processes in Physics and Chemistry 3rd edn (Amsterdam: North-Holland)
2. Szabo A, Shoup D, Northrup S H and McCammon J A 1982 J. Chem. Phys. 77 4484
3. Berezhkovskii A M, Yang D Y, Lin S H, Makhnovskii Y A and Sheu S Y 1997 J. Chem. Phys. 106 6985
4. Benichou O, Moreau M and Oshanin G 2000 Phys. Rev. E 61 3388
5. Reingruber J and Holcman D 2009 Phys. Rev. Lett. 103 148102
6. Barreda J L and Zhou H 2011 J. Chem. Phys. 135 145101
7. Wilemski G and Fixman M 1973 J. Chem. Phys. 58 4009
8. Benichou O, Coppey M, Moreau M and Oshanin G 2005 J. Chem. Phys. 123 194506
9. Bray A J and Blythe R A 2002 Phys. Rev. Lett. 89 150601
10. Blythe R A and Bray A J 2002 J. Phys. A: Math. Gen. 35 10503
11. Blythe R A and Bray A J 2003 Phys. Rev. E 67 041101
12. Oshanin G, Benichou O, Coppey M and Moreau M 2002 Phys. Rev. E 66 060101
13. Blanco S and Fournier R 2003 Europhys. Lett. 61 168
14. Mazzolo A 2004 Europhys. Lett. 68 350
15. Benichou O, Coppey M, Moreau M, Suet P H and Voituriez R 2005 Europhys. Lett. 70 42
16. Benichou O, Loverdo C and Voituriez R 2008 Europhys. Lett. 84 38003
17. Benichou O and Voituriez R 2009 J. Chem. Phys. 131 181104
18. Kingman J F C 1993 Poisson Processes (Oxford: Oxford University Press)
19. Embrechts P, Kluppelberg C and Mikosch T 1997 Modelling Extremal Events for Insurance and Finance (New York: Springer)
20. Wolff R W 1989 Stochastic Modeling and the Theory of Queues (London: Prentice-Hall)
21. Lowen S B and Teich M C 2005 Fractal-based Point Processes (New York: Wiley)
22. Eliazar I and Sokolov I M 2010 Phys. Rev. E 81 011122
23. den Hollander F and Weiss G H 1994 Contemporary Problems in Statistical Physics ed G H Weiss (Philadelphia, PA: SIAM) pp 147203
24. Yuste S B and Lindenberg K 2005 Proc. SPIE 5845 27
25. Yuste S B and Lindenberg K 2005 Phys. Rev. E 72 061103
26. Yuste S B and Lindenberg K 2006 Phys. Rev. E 73 039909 (erratum)
27. Rice S A 1985 Diffusion-Limited Reactions, Chemical Kinetics vol 25 ed C H Bamford, C F H Tipper and R G Compton (Amsterdam: Elsevier)
28. Oshanin G and Blumen A 1998 J. Chem. Phys. 108 1140
29. Toxvaerd S 1998 J. Chem. Phys. 109 8527
30. Shlesinger M F 2006 Nature 443 281
31. Shlesinger M F 2009 J. Phys. A: Math. Theor. 42 434001
32. B́nichou O, Loverdo C, Moreau M and Voituriez R 2011 Rev. Mod. Phys. 83 81
33. Morse P M and Kendall G 1956 The World of Mathematics vol 4 ed J Newman (New York: Simon and Schuster) pp 216081
34. Morse P M and Kimball G E 2003 Methods of Operations Research (New York: Dover)
35. Viswanathan G M, Buldyrev S V, Havlin S, da Luz M G E, Raposo E P and Stanley H E 1999 Nature 401 911
36. Eliazar I, Koren T and Klafter J 2007 J. Phys.: Condens. Matter 19 065140
37. Oshanin G, Wio H S, Lindenberg K and Burlatsky S F 2007 J. Phys.: Condens. Matter 19 065142
38. Condamin S 2008 Proc. Natl Acad. Sci. USA 105 5675
39. Viswanathan G M, Raposo E P and da Luz M G E 2008 Phys. Life Rev. 5 133
40. Kaplan E H and Kress M 2005 Proc. Natl Acad. Sci. USA 102 10399
41. Kress M and Szechtman R 2009 Oper. Res. 57 578
42. Lin K, Kress M and Szechtman R 2009 Nav. Res. Log. 56 113
43. Kaplan E H 2010 Oper. Res. 58 773
44. Kaplan E H 2011 Intelligence Analysis: Behavioral and Social Scientific Foundation ed B Fischhoff and C Chauvin (Washington, DC: The National Academies Press) pp 3156
45. Eliazar I and Klafter J 2009 Proc. Natl. Acad Sci. USA 106 12251
46. Eliazar I and Klafter J 2009 Phys. Rev. Lett. 103 040602
47. Eliazar I and Klafter J 2010 Phys. Rev. E 82 011112
48. Eliazar I and Klafter J 2011 J. Phys. A: Math. Theor. 44 222001
49. Metzler R and Klafter J 2000 Phys. Rep. 339 1
50. Klafter J and Sokolov I M 2005 Phys. World 18 29
51. Sokolov I M and Klafter J 2005 Chaos 15 026103
52. Heaps H S 1978 Information Retrieval: Computational and Theoretical Aspects (Boston, MA: Academic)
53. Eliazar I and Klafter J 2004 Physica D 187 30
54. Gorenflo R, Mainardi F and Vivoli A 2007 Chaos Solitons Fractals 34 87
55. Magdziarz M, Weron A and Klafter J 2008 Phys. Rev. Lett. 101 210601
56. Weibull W 1951 J. Appl. Mech. 18 293
57. Galambos J 1987 Asymptotic Theory of Extreme Order Statistics 2nd edn (New York: Krieger)
58. Coffey W T and Kalmykov Yu P 2006 Fractals, Diffusions and Relaxation in Disordered Systems (New York: Wiley-Interscience)
59. Shlesinger M F and Montroll E W 1984 Proc. Natl Acad. Sci. USA 81 1280
60. Klafter J and Shlesinger M F 1986 Proc. Natl Acad. Sci. USA 83 848
61. Eliazar I and Klafter J 2008 J. Stat. Phys. 131 487