A remark on rapid mixing for hyperbolic flows
Dynamical Systems
2025-05-02 v2
Abstract
We establish an improved criterion for rapid mixing of hyperbolic flows by weakening the requirement on the temporal distance function from positive box dimension to the existence of two values whose ratio is Diophantine. We also demonstrate the applicability of our results through explicit examples where the previous dimension condition were either too restrictive or computationally infeasible to verify.
Cite
@article{arxiv.2405.19241,
title = {A remark on rapid mixing for hyperbolic flows},
author = {Daofei Zhang},
journal= {arXiv preprint arXiv:2405.19241},
year = {2025}
}