Large deviations for maps with indifferent fixed points

Nonlinearity

Volumn 11, Issue 4, 1998, Pages 1173-1184

  Pollicott, Mark ^a   Sharp, Richard ^a   Yuri, Michiko ^b  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

^b Sapporo University   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042722420     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/11/4/023     Document Type: Article

References (21)

1. Baladi V, Eckmann J-P and Ruelle D 1989 Resonances for intermittent systems Nonlinearity 2 119-35
2. Bowen R 1975 Equilibrium states and the ergodic theory of Anosov diffeomorphisms (Lecture Notes in Mathematics 470) (Berlin: Springer)
3. Cornfeld I, Fomin S and Sinai Y 1982 Ergodic Theory (Berlin: Springer)
4. Ellis R 1984 Entropy, Large Deviations and Statistical Mechanics (Berlin: Springer)
5. Isola S Dynamical zeta functions and correlation functions for non-uniformly hyperbolic systems Preprint
6. Ito S and Yuri M 1987 Number theoretical transformations with finite range structure and their ergodic properties Tokyo J. Math. 10 1-32
7. Kifer Y 1990 Large deviations in dynamical systems and stochastic processes Trans. Am. Math. Soc. 321 505-24
8. Lagarias J 1993 The quality of the diophantine approximation found by the Jacobi-Perron algorithm Monat. Math. 115 299-328
9. Ledrappier F 1981 Some properties of absolutely continuous invariant measures on an interval Ergod. Theor. Dynam. Syst. 1 77-93
10. Lopes A 1993 The zeta function, non-differentiability of pressure, and the critical exponent of transition Adv. Math. 101 133-65
11. Parry W and Pollicott M 1990 Zeta functions and the periodic orbit structure of hyperbolic dynamics Asterique 187-188 1-236
12. Prellberg T 1991 Maps of intervals with indifferent fixed points: thermodynamic formalism and phase transitions Thesis Virginia Polytechnic Institute
13. Ruelle D 1978 Thermodynamic Formalism (New York: Addison-Wesley)
14. Schweiger F 1995 Ergodic Theory of Fibred Systems and Metric Number Theory (Oxford: Oxford University Press)
15. Thaler M 1980 Estimates of the invariant densities of endomorphisms with indifferent fixed points Israel J. Math. 37 303-14
16. Walters P 1978 Invariant measures and equilibrium states for some mappings which expand distances. Trans. Am. Math. Soc. 236 121-53
17. Walters P An Introduction to Ergodic Theory (Berlin: Springer)
18. Yuri M 1986 On a Bernoulli property for multi-dimensional mappings with finite range structure Tokyo J. Math. 9 457-85
19. Yuri M 1994 Invariant measures for certain multidimensional maps Nonlinearity 7 1093-124
20. Yuri M 1995 Multidimensional maps with infinite invariant measures and countable state sofic shifts Indagationes Math. 6 355-83
21. Yuri M 1997 On the convergence to equilibrium states for certain non-hyperbolic systems Ergod. Theor. Dynam. Syst. 17 977-1000