paper

Doubly Intermittent Full Branch Maps with Critical Points and Singularities

arXiv:2209.12725 · doi:10.1007/s00220-023-04766-x

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.

32 Pages

Doubly Intermittent Full Branch Maps with Critical Points and Singularities · wovepaper