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arXiv:2409.18805 [math.DS]AbstractReferencesReviewsResources

Hölder continuity of invariant density and entropy for piecewise expanding maps

José F. Alves, Odaudu R. Etubi

Published 2024-09-27Version 1

Using an abstract perturbation result established by Keller and Liverani, we obtain the H\"older continuity of the invariant density and entropy of the physical measures for some families of piecewise expanding maps. We apply these results to a family of two-dimensional tent maps.

Comments: 16 pages, 1 figure
Categories: math.DS
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