The Lyapunov spectrum of a continuous product of random matrices

Journal of Statistical Physics

Volumn 85, Issue 3-4, 1996, Pages 489-499

  Gamba, Andrea ^a,c   Kolokolov, Igor V ^b  

^a POLITECNICO DI TORINO   (Italy)

^b BUDKER INSTITUTE OF NUCLEAR PHYSICS   (Russian Federation)

^c INFN SEZIONE DI MILANO   (Italy)

Author keywords

Disordered systems; Functional integral; Gauss decomposition; Loop groups; Lyapunov exponents; Passive scalar; Random matrices

Indexed keywords

EID: 0038969571     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02174216     Document Type: Article

References (20)

1. M. Chertkov, A. Gamba, and I. V. Kolokolov, Phys. Lett. A 192:435 (1994).
2. I. V. Kolokolov, Phys. Lett. A 114:99 (1986); Ann. Phys. (NY) 202:165 (1990).
3. I. V. Kolokolov, Phys. Lett. A 114:99 (1986); Ann. Phys. (NY) 202:165 (1990).
4. I. V. Kolokolov, Sov. Phys. JETP 76:1099 (1993); Europhys. Lett. 28:193 (1994).
5. I. V. Kolokolov, Sov. Phys. JETP 76:1099 (1993); Europhys. Lett. 28:193 (1994).
6. A. S. Cattaneo, A. Gamba, and I. V. Kolokolov, J. Stat. Phys. 76:1065 (1994).
7. G. Falkovich and V. Lebedev, Phys. Rev. E 49:1800 (1994).
8. M. Chertkov, Y. V. Fyodorov, and I. V. Kolokolov, J. Phys. A 27:4925 (1994).
9. M. Chertkov, G. Falkovich, I. Kolokolov, and V. Lebedev, Phys. Rev. E 51:5068 (1995).
10. E. Balkovskii, M. Chertkov, I. Kolokolov, and V. Lebedev, JETP Lett. 61:1049 (1995).
11. A. Crisanti, G. Paladin, and A. Vulpiani, Products of Random Matrices in Statistical Physics, (Springer-Verlag, Berlin, 1993), and references therein.
12. O. N. Dorokhov, JETP Lett. 36:318 (1982).
13. P. A. Mello, P. Pereyra, and N. Kumar, Ann. Phys. (NY) 181:290 (1988).
14. C. W. J. Beenakker and B. Rejaei, Phys. Rev. Lett. 71:3689 (1993); Phys. Rev. B 49:7499 (1994).
15. C. W. J. Beenakker and B. Rejaei, Phys. Rev. Lett. 71:3689 (1993); Phys. Rev. B 49:7499 (1994).
16. M. Caselle, Phys. Rev. Lett. 73:2776 (1995).
17. K. B. Efetov, Adv. Phys. 32:53 (1983).
18. Y. V. Fyodorov and A. D. Mirlin, Phys. Rev. Lett. 67:2405 (1991).
19. A. Gerasimov, A. Marshakov, A. Morozov, M. Olshanetski, and S. Shatashvili, Int. J. Mod. Phys. A 5:2495 (1990).
20. R. H. Kraichnan, J. Fluid Mech. 64:737 (1974).