Absolutely continuous Furstenberg measures
Dynamical Systems
2025-06-25 v4 Classical Analysis and ODEs
Abstract
In this paper we provide a sufficient condition for a Furstenberg measure generated by a finitely supported measure to be absolutely continuous. Using this, we give a very broad class of examples of absolutely continuous Furstenberg measures including examples generated by measures supported on two points.
Keywords
Cite
@article{arxiv.2305.05757,
title = {Absolutely continuous Furstenberg measures},
author = {Samuel Kittle},
journal= {arXiv preprint arXiv:2305.05757},
year = {2025}
}
Comments
This version was accepted by Proc LMS. 84 pages