Shadowing of actions of hyperbolic groups on their boundaries
Group Theory
2024-06-19 v2 Dynamical Systems
Metric Geometry
Abstract
We prove that the canonical action of every hyperbolic group on its Gromov boundary has the shadowing (aka pseudo-orbit tracing) property. In particular, this recovers the results of Mann et al. that such actions are topologically stable.
Keywords
Cite
@article{arxiv.2405.04905,
title = {Shadowing of actions of hyperbolic groups on their boundaries},
author = {Michal Doucha},
journal= {arXiv preprint arXiv:2405.04905},
year = {2024}
}
Comments
v2: Several typos were corrected and the presentation was improved