Differentiation of SRB states

Communications in Mathematical Physics

Volumn 187, Issue 1, 1997, Pages 227-241

  Ruelle, David ^a,b  

^a INSTITUT DES HAUTES ÉTUDES SCIENTIFIQUES   (France)

^b RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031548918     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050134     Document Type: Article

References (24)

1. Baladi, V.: Correlation spectum of quenched and annealed equilibrium states for random expanding maps. Preprint
2. Bogenschütz, T. and Gundlach, V.M.: Ruelle's transfer operator for random subschift of finite type. Ergod. Th. Dynam. Syst. 15, 413-447 (1995)
3. Bowen, R.: Markov partitions for Axiom A diffeomorphisms. Amer. J. Math. 92, 725-747 (1970)
4. Bowen, R.: Equilibrium states and the ergodic theory of Anosov diffeomorphisms. Lecture Notes in Math. 470, Springer, Berlin. 1975
5. Bowen, R. and Ruelle, D.: The ergodic theory of Axiom A flows. Invent. Math. 29, 181-202 (1975)
6. Eckmann, J.-P. and Ruelle, D.: Ergodic theory of strange attractors. Rev. Mod. Phys. 57, 617-656 (1985)
7. Gallavotti, G.: Chaotic hypothesis: Onsager reciprocity and fluctuation-dissipation theorem. J. Statist. Phys. 84, 899-926 (1996)
8. Hirsch, M. and Pugh, C.: Stable manifolds and hyperbolic sets. In: Global Analysis. Proc. Symp. Pure Appl. Math. 14, 133-164 (1970)
9. Khanin, K. and Kifer, Y.: Thermodynamic formalism for random transformations and statistical mechanics. Preprint
10. Ledrappier, F. and Young, L.S.: The metric entropy of diffeomorphisms: I. Characterization of measures satisfying Pesin's formula, II. Relations between entropy, exponents and dimension. Ann. of Math. 122, 509-539, 540-574 (1985)
11. Lopes, A. and Markarian, R.: Open billiards: invariant and conditionally invariant probabilities on Cantor sets. SIAM J. Appl. Math. 56, 651-680 (1996)
12. Ruelle, D.: A measure associated with Axiom A attractors. Am. J. Math. 98, 619-654 (1976)
13. Ruelle, D.: Thermodynamic formalism. Encyclopedia of Math. and its Appl., vol. 5. Addison-Wesley, Reading, Mass., 1978
14. Ruelle, D.: Elements of differentiate dynamics and bifurcation theory. Academic Press, San Diego, 1989
15. Ruelle, D.: Differentiation of SRB States Positivity of entropy production in nonequilibrium statistical mechanics. J. Statist. Phys. 85, 1-25 (1996)
16. Shub, M.: Global stability of dynamical systems. Springer, Berlin, 1987
17. Sinai, Ya.G.: Markov partitions and C-diffeomorphisms. Funkts. Analiz i Ego Pril. 2, No 1,64-89(1968). English translation. Functional Anal. Appl. 2, 61-82 (1968)
18. Sinai, Ya.G.: Markov partitions and C-diffeomorphisms. Funkts. Analiz i Ego Pril. 2, No 1,64-89(1968). English translation. Functional Anal. Appl. 2, 61-82 (1968)
19. Sinai, Ya.G.: Construction of Markov partitions. Funkts. Analiz i Ego Pril. 2, No 3, 70-80 (1968). English translation: Functional Anal. Appl. 2, 245-253 (1968)
20. Sinai, Ya.G.: Construction of Markov partitions. Funkts. Analiz i Ego Pril. 2, No 3, 70-80 (1968). English translation: Functional Anal. Appl. 2, 245-253 (1968)
21. Ya.G. Sinai. Gibbsian measures in ergodic theory. Uspehi Mat. Nauk 27, No 4, 21-64 (1972). English translation: Russian Math. Surveys 27, No 4, 21-69 (1972)
22. Ya.G. Sinai. Gibbsian measures in ergodic theory. Uspehi Mat. Nauk 27, No 4, 21-64 (1972). English translation: Russian Math. Surveys 27, No 4, 21-69 (1972)
23. Smale, S.: Differentiable dynamical systems. Bull. Amer. Math. Soc. 73, 747-817 (1967)
24. Young, L.-S.: Some large deviation results for dynamical systems. Trans. Amer. Math. Soc. 318, 525-543 (1990)