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arXiv · 2501.17389

A lower bound on end-periodic stretch factors

Marissa Loving·Chenxi Wu
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Abstract

Given an end-periodic homeomorphism $f: S \to S$ we give a lower bound on the Handel--Miller stretch factor of $f$ in terms of the core characteristic of $f$, which is a measure of topological complexity for an end-periodic homeomorphism. We also show that the growth rate of this bound is sharp.

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Marissa Loving, Chenxi Wu. 2025-04-01. A lower bound on end-periodic stretch factors. https://arxiv.org/abs/2501.17389

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