Doubly Intermittent Full Branch Maps with Critical Points and Singularities

Published 26 Sep 2022 in math.DS | (2209.12725v2)

Abstract: We study a class of one-dimensional full branch maps admitting two indifferent fixed points as well as critical points and/or unbounded derivative. Under some mild assumptions we prove the existence of a unique invariant mixing absolutely continuous probability measures, study its rate of decay of correlation and prove a number of limit theorems.

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