Slow polynomial mixing, dynamical Borel-Cantelli lemma and Hausdorff dimension of dynamical diophantine sets
Number Theory
2025-10-14 v2 Dynamical Systems
Metric Geometry
Abstract
In this article, we establish optimality results regarding the dynamical Borel-Cantelli lemma and the the Hausdorff dimension of certain dynamical diophantine sets.
Keywords
Cite
@article{arxiv.2505.21464,
title = {Slow polynomial mixing, dynamical Borel-Cantelli lemma and Hausdorff dimension of dynamical diophantine sets},
author = {Edouard Daviaud},
journal= {arXiv preprint arXiv:2505.21464},
year = {2025}
}
Comments
This version corrects a typo in the definition of S_{\alpha}, $\chi_{[0,1)}$ is now replaced by $\chi_{[0,\frac{1}{2})}$