Upper Large Deviations Bound for Singular-Hyperbolic Attracting Sets

Author:

Araujo VitorORCID,Souza Andressa,Trindade Edvan

Funder

CNPq-Brazil

CAPES-Brazil

Publisher

Springer Science and Business Media LLC

Subject

Analysis

Reference71 articles.

1. Alves, J.: Statistical analysis of non-uniformly expanding dynamical systems. Publicações Matemáticas do IMPA (IMPA Mathematical Publications). Instituto de Matemática Pura e Aplicada (IMPA), Rio de Janeiro, 2003. XXIV Colóquio Brasileiro de Matemática (2003). (24th Brazilian Mathematics Colloquium)

2. Alves, J.F., Araujo, V.: Random perturbations of nonuniformly expanding maps. Astérisque 286, 25–62 (2003)

3. Alves, J.F., Bonatti, C., Viana, M.: SRB measures for partially hyperbolic systems whose central direction is mostly expanding. Invent. Math. 140(2), 351–398 (2000)

4. Alves, J.F., Freitas, J.M., Luzzatto, S., Vaienti, S.: From rates of mixing to recurrence times via large deviations. Adv. Math. 228(2), 1203–1236 (2011)

5. Alves, J.F., Luzzatto, S., Pinheiro, V.: Lyapunov exponents and rates of mixing for one-dimensional maps. Ergod. Theory Dyn. Syst. 24(3), 637–657 (2004)

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