A lower bound on end-periodic stretch factors
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915222076260352 |
|---|---|
| author | Loving, Marissa Wu, Chenxi |
| author_facet | Loving, Marissa Wu, Chenxi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17389 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A lower bound on end-periodic stretch factors Loving, Marissa Wu, Chenxi Geometric Topology Dynamical Systems 57K20, 20F65, 57R30, 57M50 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. |
| title | A lower bound on end-periodic stretch factors |
| topic | Geometric Topology Dynamical Systems 57K20, 20F65, 57R30, 57M50 |
| url | https://arxiv.org/abs/2501.17389 |