Preprint A311/2004
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.