Doubly Intermittent Full Branch Maps with Critical Points and Singularities
Dynamical Systems
2024-05-28 v2
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.
Cite
@article{arxiv.2209.12725,
title = {Doubly Intermittent Full Branch Maps with Critical Points and Singularities},
author = {Douglas Coates and Stefano Luzzatto and Muhammad Mubarak},
journal= {arXiv preprint arXiv:2209.12725},
year = {2024}
}
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32 Pages