Work

A lower bound on end-periodic stretch factors

Year: 2025

Type: article

Abstract: Given an end-periodic homeomorphism f : S → S f: S \to S we give a lower bound on the Handel–Miller stretch factor of f f in terms of the core characteristic of f 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.

Source: Proceedings of the American Mathematical Society

DOI: 10.1090/proc/17304

Authors: Marissa Loving, Chenxi Wu

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funders: National Science Foundation, Simons Foundation

Awards: Curves, Surfaces, and 3-Manifolds: Geometry, Topology, and Dynamics in the Mapping Class Group and Beyond, G3890504533, PostDoctoral Research Fellowship

OpenAlex ID: W4413063189

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Cites: 4

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Related to: 10