(1) LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, P. R. China
Abstract:
In this paper we prove an inequality conjectured by Ruelle relating the entropy, folding entropy and negative Lyapunov exponents of a differentiable map on a compact manifold, under a set of conditions on degenerate points of the map.This work is supported by SFMSBRP and NSFDYS