Weak Gibbs measures for certain non-hyperbolic systems

Ergodic Theory and Dynamical Systems

Volumn 20, Issue 5, 2000, Pages 1495-1518

  Yuri, Michiko ^a  

^a Sapporo University   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034395014     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S014338570000081X     Document Type: Article

References (22)

1. J. Aaronson. An Introduction to Infinite Ergodic Theory. American Mathematical Society, 1997.
2. J. Aaronson, M. Denker and M. Urbanski. Ergodic theory for Markov fibred systems and parabolic rational maps. Trans. Amer. Math. Soc. 337 (1993), 495-548.
3. M. Denker and M. Yuri. A note on the construction of non-singular Gibbs measures. Colloquium Mathematium, to appear.
4. L.-S. Young. Recurrence times and rates of mixing. Israel J. Math. 110 (1999), 153-188.
5. C. Liverani, B. Saussol and S. Vaienti. A probabilistic approach to intermittency. Ergod. Th. & Dynam. Sys. 18 (1998), 1399-1420.
6. R. D. Moudin and M. Urbanski. Parabolic iterated functional systems. Preprint.
7. Y. B. Pesin. Dimension Theory in Dynamical Systems. Contemporary Views and Applications. Chicago University Press, 1997.
8. Y. B. Pesin and H. Weiss. A multifractal analysis of equilibrium measures for conformal expanding maps and Markov Moran geometric constructions. J. Stat. Phys. 86 (1997), 233-275.
9. M. Pollicott and M. Yuri. Statistical properties of maps with indifferent periodic points. Preprint.
10. O. Sarig. Thermodynamic formalism for countable Markov shifts. Ergod. Th. & Dynam. Sys. 19 (1999), 1565-1593.
11. F. Schweiger. Ergodic Theory of Fibred Systems and Metric Number Theory. Oxford University Press, 1995.
12. M. Thaler. A limit theorem for the Perron Frobenius operatorof transformatons on [0, 1] with indifferfent fixed points. Israel J. Math. 91 (1995), 111-129.
13. P. Walters. Invariant measures and equilibrium states for some mappings which expand distances. Trans. Amer. Math. Soc. 236 (1978), 121-153.
14. M. Yuri. On a Bernoulli property for multi-dimensional maps with finite range structure. Tokyo J. Math. 9 (1986), 457-485.
15. M. Yuri. Invariant measures for certain multi-dimensional maps. Nonlinearity 7(3) (1994) 1093-1124.
16. M. Yuri. Multi-dimensional maps with infinite invariant measures and countable state sofic shifts. Indagationes Mathematicae 6 (1995), 355-383.
17. M. Yuri. On the convergence to equilibrium states for certain non-hyperbolic systems. Ergod. Th. & Dynam. Sys. 17 (1997), 977-1000.
18. M. Yuri. Zeta functions for certain non-hyperbolic systems and topological Markov approximations. Ergod. Th. & Dynam. Sys. 18 (1998), 1589-1612.
19. M. Yuri. Decay of correlations for certain multi-dimensional maps. Nonlinearity 9 (1996), 1439-1461.
20. M. Yuri. Thermodynamic formalism for certain non-hyperbolic maps. Ergod. Th. & Dynam. Sys. 19 (1999), 1365-1378.
21. M. Yuri. Statistical properties for non-hyperbolic maps with finite range structure. Trans. Amer. Math. Soc. 352 (2000), 2369-2388.
22. M. Yuri. On the speed of convergence to equilibrium states for certain non-hyperbolic systems. Preprint.