Invariant manifolds and equilibrium states for non-uniformly hyperbolic horseshoes

Abstract

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