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arXiv · 2205.15590

Existence of SRB measures for hyperbolic maps with weak regularity

Houssam Boukhecham
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Abstract

We prove that a $C^1$ hyperbolic map whose differential is regular enough has an SRB measure. The precise regularity condition is weaker than H{\"o}lder and was mentionned by various authors through the developement of expanding and uniformly hyperbolic dynamics.

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Houssam Boukhecham. 2022-05-31. Existence of SRB measures for hyperbolic maps with weak regularity. https://arxiv.org/abs/2205.15590

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