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5 papers · 2 filters
Statistical Stability for Henon maps of the Benedicks-Carleson type
Jose F. Alves, Maria Carvalho, Jorge Milhazes Freitas
We consider the family of Henon maps in the plane and show that the SRB measures vary continuously in the weak* topology within the set of Benedicks-Carleson parameters.
Hyperbolic times: frequency versus integrability
Jose F Alves, Vitor Araujo
We consider dynamical systems on compact manifolds, which are local diffeomorphisms outside an exceptional set (a compact submanifold). We are interested in analyzing the relation…
Large deviations bound for semiflows over a non-uniformly expanding base
Vitor Araujo
We obtain a exponential large deviation upper bound for continuous observables on suspension semiflows over a non-uniformly expanding base transformation with non-flat singularitie…
Topological structure of (partially) hyperbolic sets with positive volume
Jose F. Alves, Vilton Pinheiro
We consider both hyperbolic sets and partially hyperbolic sets attracting a set of points with positive volume in a Riemannian manifold. We obtain several results on the topologica…
Large deviations for non-uniformly expanding maps
V Araujo, M J Pacifico
We obtain large deviation results for non-uniformly expanding maps with non-flat singularities or criticalities and for partially hyperbolic non-uniformly expanding attracting sets…