Markov structures for non-uniformly expanding maps on compact manifolds in arbitrary dimension

Electronic Research Announcements of the American Mathematical Society

Volumn 9, Issue 4, 2003, Pages 26-31

  Alves, José F ^a   Luzzatto, Stefano ^b   Pinheiro, Vilton ^c  

^a IN Institute of Nanoscience and Nanotechnology   (Portugal)

^b IMPERIAL COLLEGE LONDON   (United Kingdom)

^c FEDERAL UNIVERSITY OF BAHIA   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 15944377443     PISSN: None     EISSN: 10796762     Source Type: Journal    
DOI: 10.1090/S1079-6762-03-00106-9     Document Type: Article

References (8)

1. J. F. Alves, SRB measures for non-hyperbolic systems with multidimensional expansion, Ann. Scient. Éc. Norm. Sup., 4e série, 33 (2000), 1-32.MR 2002i:37032
2. J. F. Alves, C. Bonatti, M. Viana, SRB measures for partially hyperbolic systems whose central direction is mostly expanding, Invent. Math. 140 (2000), 351-398.MR 2001j:37063a
3. J. F. Alves, S. Luzzatto, V. Pinheiro, Lyapunov exponent and rates of mixing for onedimensional maps, Preprint 2002.
4. J. F. Alves, S. Luzzatto, V. Pinheiro, Markov structures and decay of correlations for nonuniformly expanding dynamical systems, Preprint 2002.
5. J. F. Alves, M. Viana, Statistical stability for robust classes of maps with non-uniform expansion, Ergod. Th. & Dynam. Sys. 22 (2002), 1-32.
6. M. Viana, Multidimensional non-hyperbolic attractors, Publ. Math. IHES 85 (1997), 63-96.MR 98f:58146
7. L.-S. Young, Statistical properties of dynamical systems with some hyperbolicity, Ann. Math. 147 (1998), 585-650.MR 99h:58140
8. L.-S. Young, Recurrence times and rates of mixing, Israel J. Math. 110 (1999), 153-188.MR 2001j:37062