Modulus of continuity of invariant densities and entropies for piecewise expanding maps

Abstract

Using a perturbation result established by Galatolo and Lucena, we obtain quantitative estimates on the continuity of the invariant densities and entropies of the physical measures for some families of piecewise expanding maps. We apply these results to a family of two-dimensional tent maps.

The conclusions of the main results have been improved and the title has been changed