Entropy formula for C1 expanding maps
Dynamical Systems
2026-04-21 v2
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.
Cite
@article{arxiv.2604.04959,
title = {Entropy formula for C1 expanding maps},
author = {Eleonora Catsigeras and Fernando Valenzuela Gómez},
journal= {arXiv preprint arXiv:2604.04959},
year = {2026}
}
Comments
Version 2 with corrected typos. 44 pages, 4 figures