Semicontinuity of entropy, existence ofequilibrium states and of physical measures

Vitor Araujo

Keywords: equilibrium states; physical measures; statistical stability; stochastical stability

We obtain some results of existence and continuity of physical measures through equilibrium states and apply these to non-uniformly expanding transformations on compact manifolds with non-flat critical sets, obtaining sufficient conditions for continuity of physical measures and, for local diffeomorphisms, necessary and sufficient conditions for stochastic stability.

Anexos:

• ProceedingSC-preprint.pdf