Variational equalities of entropy in nonuniformly hyperbolic systems

Chao Liang, Gang Liao, Wenxiang Sun +1

In this paper we prove that for an ergodic hyperbolic measure $\omega$ of a $C^{1+\alpha }$ diffeomorphism $f$ on a Riemannian manifold $M$, there is an $\omega$-full measured set $\tilde{\Lambda }$ su…