Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems
Dynamical Systems
2025-09-12 v2
Abstract
We consider one dimensional maps with several neutral fixed points that do not admit any physical measures. We show that there is simplex of measures so that every measure in this simplex has a basin which has full Hausdorff dimension.
Keywords
Cite
@article{arxiv.2509.00241,
title = {Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems},
author = {Douglas Coates and Katrin Gelfert},
journal= {arXiv preprint arXiv:2509.00241},
year = {2025}
}
Comments
24 pages, 3 figures