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Invariant manifolds and equilibrium states for non-uniformly hyperbolic horseshoes

Research paper by R. Leplaideur, I. Rios

Indexed on: 23 Jan '06Published on: 23 Jan '06Published in: Mathematics - Dynamical Systems



Abstract

In this paper we consider horseshoes containing an orbit of homoclinic tangency accumulated by periodic points. We prove a version of the Invariant Manifolds Theorem, construct finite Markov partitions and use them to prove the existence and uniqueness of equilibrium states associated to H\"older continuous potentials.