Equilibrium states for natural extensions of non-uniformly expanding local homeomorphisms
Dynamical Systems
2020-05-05 v1
Abstract
We examine uniqueness of equilibrium states for the natural extension of a topologically exact, non-uniformly expanding, local homeomorphism with a H\"older continuous potential function. We do this by applying general techniques developed by Climenhaga and Thompson, and show there is a natural condition on decompositions that guarantees that a unique equilibrium state exists. We then show how to apply these results to partially hyperbolic attractors.
Keywords
Cite
@article{arxiv.2005.00598,
title = {Equilibrium states for natural extensions of non-uniformly expanding local homeomorphisms},
author = {Todd Fisher and Krerley Oliveira},
journal= {arXiv preprint arXiv:2005.00598},
year = {2020}
}
Comments
12 pages. arXiv admin note: text overlap with arXiv:1909.05230