Anosov diffeomorphisms of open surfaces
Dynamical Systems
2025-06-24 v2
Abstract
We study the existence of Anosov diffeomorphisms on complete open surfaces. We show that under the assumptions of density of periodic points and uniform geometry that such diffeomorphisms have a system of Margulis measures, which are a holonomy invariant and dynamically invariant system of measures along the stable and unstable leaves.
Cite
@article{arxiv.2407.16650,
title = {Anosov diffeomorphisms of open surfaces},
author = {Snir Ben Ovadia and Jonathan DeWitt},
journal= {arXiv preprint arXiv:2407.16650},
year = {2025}
}