A lower bound on end-periodic stretch factors
Geometric Topology
2025-04-02 v5 Dynamical Systems
Abstract
Given an end-periodic homeomorphism we give a lower bound on the Handel--Miller stretch factor of in terms of the core characteristic of , which is a measure of topological complexity for an end-periodic homeomorphism. We also show that the growth rate of this bound is sharp.
Cite
@article{arxiv.2501.17389,
title = {A lower bound on end-periodic stretch factors},
author = {Marissa Loving and Chenxi Wu},
journal= {arXiv preprint arXiv:2501.17389},
year = {2025}
}
Comments
7 pages, 4 figures, incorporated referee comments, accepted for publication in Proceedings of the AMS