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arXiv · 1801.08775

Self-Similar Hyperbolicity

Alfonso Artigue
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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.

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Alfonso Artigue. 2018-01-26. Self-Similar Hyperbolicity. https://arxiv.org/abs/1801.08775

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