Entropy formula for C1 expanding maps
arXiv:2604.04959
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.
Version 2 with corrected typos. 44 pages, 4 figures