Entropy of coupled map lattices

Journal of Statistical Physics

Volumn 86, Issue 1-2, 1997, Pages 377-389

  Dolgopyat, D ^a  

^a PRINCETON UNIVERSITY   (United States)

Author keywords

Coupled map lattice; Pesin formula; Ruelle inequality; SBR measure

Indexed keywords

EID: 0040647403     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02180211     Document Type: Article

References (12)

1. L. A. Bunimovich and Ya. G. Sinai, Space-time chaos in coupled map lattices, Nonlinearity 1:491-516 (1988).
2. U. Krengel, Ergodic Theorems (de Gruyter, Berlin, 1985).
3. R. Mane, Lyapunov exponents and stable manifolds of compact transformations, in Geometric Dynamics, J. Palis, ed. (Springer, Berlin, 19 ), pp. 522-577.
4. Ya. B. Pesin, Lyapunov characteristic exponents and smooth ergodic theory, Russ. Math. Surv. 32:55-114 (1977).
5. Ya. B. Pesin and Ya. G. Sinai; Space-time chaos in chains of weakly interacting hyperbolic mappings, Adv. Sov. Math. 3:165-198 (1991).
6. M. S. Raghunatan, A proof of Oseledeĉ's multiplicative ergodic theorem, Israel J. Math. 32:356-362 (1979).
7. D. Ruelle, An inequality for the entropy of differentiable maps, Bol. Soc. Bras. Math. 9:83-87 (1978).
8. D. Ruelle, Ergodic theory of differentiable dynamical systems, Publ. IHES 50:27-58 (1979).
9. D. Ruelle, Characteristic exponents and invariant manifolds in Hilbert space, Ann. Math. 115:243-290 (1982).
10. Ya. G. Sinai, Markov partitions and C-diffeomorphisms, Funct. Anal. Appl. 2:61-82 (1968).
11. Ya. G. Sinai, A remark concerning the thermodynamic limit of Lyupunov spectrum, Bifurcations Chaos, to appear.
12. Ya. G. Sinai and N. I. Chernov, Entropy of the gas of hard spheres with respect to the group of space-time translations, in Dynamical Systems. Collection of papers, Ya. G. Sinai, ed. (World Scientific, Singapore, 1991), pp. 373-390.