Absolutely Continuous Invariant Measure for Generalized Horseshoe Maps
Dynamical Systems
2021-08-31 v2
Abstract
In this paper, we study the SRB measures of generalized horseshoe map. We prove that under the conditions of transversality and fatness, the SRB measure is actually absolutely continuous with respect to the Lebesgue measure.
Keywords
Cite
@article{arxiv.2102.03737,
title = {Absolutely Continuous Invariant Measure for Generalized Horseshoe Maps},
author = {Abbas Fakhari and Maryam Khalaj},
journal= {arXiv preprint arXiv:2102.03737},
year = {2021}
}