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arXiv · 2604.04959

Entropy formula for C1 expanding maps

Eleonora Catsigeras·Fernando Valenzuela Gómez
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Abstract

We prove that the (necessarily existing) pseudo-physical or SRB-like measures of C1 expanding dynamical systems on a compact Riemannian manifold satisfy Pesin entropy formula. We include examples of C1 (non C1 plus Holder) expanding maps on the circle and on the 2 torus and study their pseudo-physical measures.

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Eleonora Catsigeras, Fernando Valenzuela Gómez. 2026-04-03. Entropy formula for C1 expanding maps. https://arxiv.org/abs/2604.04959

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