Invariant Measures of Non-Uniformly Expanding Maps with Higher Order Critical Set

2024/07/31 by Chicalé, Ricardo, Horita, Vanderlei
#28D05 37A05 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2408.00121

Abstract

We prove existence and uniqueness of absolutely continuous invariant measures for generalizations of Viana maps admitting a higher order critical point introduced in arXiv:2312.00906. As a consequence of our approach, we obtain super-polynomial decay of correlations.

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