Advances in Mathematics

Autor: Alves, José Ferreira, Pinheiro, Vilton Jeovan Viana
Jazyk: angličtina
Rok vydání: 2010
Předmět:
Zdroj: Repositório Institucional da UFBA
Universidade Federal da Bahia (UFBA)
instacron:UFBA
ISSN: 0001-8708
DOI: 10.1016/j.aim.2009.10.010
Popis: Trabalho completo: acesso restrito, p. 1706–1730 Submitted by Bruna Lessa (lessbruna@gmail.com) on 2012-05-14T19:13:40Z No. of bitstreams: 1 (17)1-s2.0-S0001870809003259-main.pdf: 264757 bytes, checksum: 7eef80f7fba2c24e5f6745d000319314 (MD5) Made available in DSpace on 2012-05-14T19:13:40Z (GMT). No. of bitstreams: 1 (17)1-s2.0-S0001870809003259-main.pdf: 264757 bytes, checksum: 7eef80f7fba2c24e5f6745d000319314 (MD5) Previous issue date: 2010-03 We consider a partially hyperbolic set K on a Riemannian manifold M whose tangent space splits as TKM=Ecu⊕Es, for which the center-unstable direction Ecu expands non-uniformly on some local unstable disk. We show that under these assumptions f induces a Gibbs–Markov structure. Moreover, the decay of the return time function can be controlled in terms of the time typical points need to achieve some uniform expanding behavior in the center-unstable direction. As an application of the main result we obtain certain rates for decay of correlations, large deviations, an almost sure invariance principle and the validity of the central limit theorem.
Databáze: OpenAIRE
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