Orbits closeness for slowly mixing dynamical systems
Dynamical Systems
2023-07-26 v2
Abstract
Given a dynamical system, we prove that the shortest distance between two -orbits scales like to a power even when the system has slow mixing properties, thus building and improving on results of Barros, Liao and the first author. We also extend these results to flows. Finally, we give an example for which the shortest distance between two orbits has no scaling limit.
Cite
@article{arxiv.2209.06594,
title = {Orbits closeness for slowly mixing dynamical systems},
author = {Jerome Rousseau and Mike Todd},
journal= {arXiv preprint arXiv:2209.06594},
year = {2023}
}
Comments
To appear in Ergodic Theory and Dynamical Systems