Invariant manifolds and equilibrium states for non-uniformly hyperbolic horseshoes
Dynamical Systems
2009-11-11 v1
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.
Keywords
Cite
@article{arxiv.math/0601553,
title = {Invariant manifolds and equilibrium states for non-uniformly hyperbolic horseshoes},
author = {R. Leplaideur and I. Rios},
journal= {arXiv preprint arXiv:math/0601553},
year = {2009}
}
Comments
33 pages, 6 figures