Renormalization group and probability theory

Physics Report

Volumn 352, Issue 4-6, 2001, Pages 439-458

  Jona Lasinio, G ^a  

^a UNIVERSITÀ DI ROMA LA SAPIENZA   (Italy)

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[No Author keywords available]

Indexed keywords

EID: 0008828220     PISSN: 03701573     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0370-1573(01)00042-4     Document Type: Review

References (42)

1. A.I. Khinchin, Mathematical Foundations of Statistical Mechanics, Dover Publications Inc., New York, 1949.
2. C. Di Castro, G. Jona-Lasinio, Phys. Letts. 29A (1969) 322.
3. K.G. Wilson, M.E. Fisher, Phys. Rev. Letts. 28 (1972) 240.
4. C. Di Castro, Lett. Nuovo Cimento 5 (1972) 69.
5. P.K. Mitter, Phys. Rev. D7 (1973) 2927.
6. E. Brezin, J.C. Le Guillou, J. Zinn Justin, Phys. Rev. D8 (1973) 434.
7. K.G. Wilson, Phys. Rev. B4 (1971) 3174.
8. K.G. Wilson, 140 (1965) B445.
9. K.G. Wilson, Phys. Rev. D2 (1970) 1438.
10. L.P. Kadanoff, Physics (N. Y.) 2 (1966) 263.
11. G. Jona-Lasinio, Nobel Symp. 24 (1973) 38.
12. G. Benettin, C. Di Castro, G. Jona-Lasinio, L. Peliti, A.L. Stella, in: M. Levy, P.K. Mitter (Eds.), New Developments in Quantum Field Theory and Statistical Mechanics, Plenum Press, New York, London, 1977.
13. M.E. Fisher, Rev. Mod. Phys. 70 (1998) 653.
14. A.Z. Patashinski, V.L. Pokrovski, Fluctuation Theory of Phase Transitions 2nd Edition, Nauka, Moskva, 1982 (in Russian).
15. P.M. Bleher, Ya.G. Sinai, Comm. Math. Phys. 33 (1973) 23.
16. G. Jona-Lasinio, Nuovo Cimento B 26 (1975) 9.
17. G. Gallavotti, G. Jona-Lasinio, Comm. Math. Phys. 41 (1975) 301.
18. Ya.G. Sinai, Theor. Prob. Appl. 21 (1976) 273.
19. G. Jona-Lasinio, in: M. Levy, P.K. Mitter (Eds.), New Developments in Quantum Field Theory and Statistical Mechanics, Plenum Press, New York, London, 1977.
20. P.M. Bleher, Ya.G. Sinai, Comm. Math. Phys. 45 (1975) 347.
21. P. Collet, J.P. Eckmann, A Renormalization Group Analysis of the Hierarchical Model in Statistical Mechanics, Lecture Notes in Physics, Vol. 74, Springer, Berlin, 1978.
22. M. Cassandro, G. Gallavotti, Nuovo Cimento 25B (1975) 691.
23. G. Gallavotti, H. Knops, Rivista del, Nuovo Cimento 5 (1975) 341.
24. R.L. Dobrushin, in: R.L. Dobrushin, Ya.G. Sinai (Eds.), Multicomponent Random Systems, Dekker, New York, 1978.
25. R.L. Dobrushin, Ann. Prob. 7 (1979) 1.
26. Ya.G. Sinai, Theory of Phase Transitions: Rigorous Results, Pergamon Press, London, 1982.
27. G. Hegerfeldt, C. Nappi, Comm. Math. Phys. 53 (1977) 1.
28. M. Cassandro, G. Jona-Lasinio, in: L. Streit (Ed.), Many Degrees of Freedom in Field Theory, Plenum Press, New York, 1978.
29. I.A. Ibragimov, Yu.V. Linnik, Independent and Stationary Sequences of Random Variables, Wolters-Noordhoff, Groningen, 1971.
30. M. Cassandro, G. Jona-Lasinio, Adv. Phys. 27 (1978) 913.
31. V.I. Oseledec, Trans. Moscow Math. Soc. 19 (1968) 197.
32. G. Jona-Lasinio, in: J. Frölich (Ed.), Scaling and Self-similarity in Physics, Birkhäuser, Basel, 1983.
33. P.M. Bleher, Theor. Math. Phys. 61 (1985) 1107.
34. G. Jona-Lasinio, Helv. Phys. Acta 59 (1986) 234.
35. A basic reference is G. Gallavotti Rev. Mod. Phys. 57 (1985) 471.
36. Yu.V. Linnik, I.V. Ostrovski, Decomposition of Random Variables and Vectors, Translation of Mathematical Monographs, AMS, Providence, RI, 1977.
37. D. Brydges, J. Dimock, T.R. Hurd, Comm. Math. Phys. 198 (1998) 111.
38. P.K. Mitter, B. Scoppola, Comm. Math. Phys. 209 (2000) 207.
39. G. Benfatto, G. Gallavotti, Renormalization Group, Physics Notes, Princeton University Press, Princeton, 1995.
40. G.F. De Angelis, G. Jona-Lasinio, V. Sidoravicius, J. Phys. A 31 (1998) 289.
41. M. Beccaria, C. Presilla, G.F. De Angelis, G. Jona-Lasinio, Europhys. Lett. 48 (1999) 243.
42. D. Brydges, I. Munoz Maya, J. Theor. Prob. 4 (1991) 371.