(Semi)continuity of the entropy of Sinai probability measures for partially hyperbolic diffeomorphisms
arXiv:1504.07407 · doi:10.1016/j.jmaa.2015.09.042
Abstract
We establish sufficient conditions for the upper semicontinuity and the continuity of the entropy of Sinai probability measures invariant by partially hyperbolic diffeomorphisms and discuss their application in several examples.
16 pages