Singular stationary measures for random piecewise affine interval homeomorphisms
Dynamical Systems
2021-02-10 v1
Abstract
We show that the stationary measure for some random systems of two piecewise affine homeomorphisms of the interval is singular, verifying partially a conjecture by Alsed\`a and Misiurewicz and contributing to a question of Navas on the absolute continuity of stationary measures, considered in the setup of semigroups of piecewise affine circle homeomorphisms. We focus on the case of resonant boundary derivatives.
Keywords
Cite
@article{arxiv.1905.11048,
title = {Singular stationary measures for random piecewise affine interval homeomorphisms},
author = {Krzysztof Barański and Adam Śpiewak},
journal= {arXiv preprint arXiv:1905.11048},
year = {2021}
}
Comments
47 pages, 5 figures