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

Published 31 Jul 2024 in math.DS | (2408.00121v2)

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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