Self-Similar Hyperbolicity
Dynamical Systems
2018-01-29 v1
Abstract
In this paper we consider expansive homeomorphisms of compact spaces with a hyperbolic metric presenting a self-similar behavior on stable and unstable sets. Several application are given related to Hausdorff dimension, entropy, intrinsically ergodic measures and the transitivity of expansive homeomorphisms with canonical coordinates.
Cite
@article{arxiv.1801.08775,
title = {Self-Similar Hyperbolicity},
author = {Alfonso Artigue},
journal= {arXiv preprint arXiv:1801.08775},
year = {2018}
}