Relative entropy, dimensions and large deviations for g-measures

Journal of Physics A: Mathematical and General

Volumn 33, Issue 4, 2000, Pages 675-689

  Chazottes, Jean René ^a   Olivier, Eric ^b  

^a CENTRE DE PHYSIQUE THÉORIQUE   (France)

^b UNIVERSITÉ DE PROVENCE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039028872     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/33/4/302     Document Type: Article

References (17)

1. Berbee H 1987 Chains with infinite connections: uniqueness and Markov representation Prob. Theor. Rel. Fields 76 243-53
2. Bowen R Equilibrium States and the Ergodic Theory ofAnosov Diffeomorphisms (Lecture Notes in Mathematics vol 470) (Berlin: Springer)
3. Bramson M and Kalikow S A 1993 Nonuniqueness in g-functions Israel J. Math. 84 153-60
4. Bressaud X, Fernández R and Galves A 1999 Speed of d̄-convergence for Markov approximations of chains with complete connections. A coupling approach Electron. J. Probab. 4
5. Cajar H 1981 Billingsley Dimension in Probability Spaces (Lecture Notes in Mathematics vol 892) (Berlin: Springer)
6. Chazottes J R, Floriani E and Lima R 1998 Relative entropy and identifications of Gibbs measures in dynamical systems J. Stat. Phys. 90 697-725
7. Denker M, Grillenberger C and Sigmund K 1976 Ergodic Theory on Compact Spaces (Lecture Notes in Mathematics vol 527) (Berlin: Springer)
8. Deuschel J D and Strook D W 1989 Large Deviations (New York: Academic)
9. Ellis R S 1995 Entropy, Large Deviations and Statistical Mechanics (Berlin: Springer)
10. Kifer Y 1990 Large deviations results for dynamical systems and stochastic processes Trans. Am. Math. Soc. 321 505-24
11. Ledrappier F 1974 Principe variationnel et systèmes dynamiques symboliques Z. Wahr. Verw. Geb. 30 185-202
12. Olivier E 1998 Analyse multifractale de fonctions continues C. R. Acad. Sci. (Paris) 326 117-4
13. Palmer M R, Parry W and Walters P 1977 Large Sets of Endomorphis and of g-Measures (Lecture Notes in Mathematics vol 668) pp 191-210
14. Pesin Ya B 1997 Dimension Theory in Dynamical Systems (Chicago Lectures in Mathematics) (Chicago, IL: University of Chicago Press)
15. 1 expanding maps and g-measures Ergod. Theory Dynam. Syst. 16 531-5
16. Ruelle D 1978 Thermodynamic formalism: the mathematical structure of classical equilibrium statistical mechanics Encyclopedia of Mathematics and its Applications vol 5 (Reading, MA: Addison-Wesley)
17. Shereshevesky M A 1991 A complement to Young's theorem on measure dimension: the difference between lower and upper pointwise dimensions Nonlinearity 4 15-25