Slow north-south dynamics on $\mathcal {PML}$
| Autor: | Mark Bell, Saul Schleimer |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Class (set theory)
Mathematics::Dynamical Systems Dynamics (mechanics) Mathematics::Geometric Topology Action (physics) Lamination (geology) Rate of convergence Exponential growth Convergence (routing) Discrete Mathematics and Combinatorics Applied mathematics Geometry and Topology Word length Mathematics |
| Zdroj: | Groups, Geometry, and Dynamics. 11:1103-1112 |
| ISSN: | 1661-7207 |
| DOI: | 10.4171/ggd/423 |
| Popis: | We consider the action of a pseudo-Anosov mapping class on PML(S). This action has north-south dynamics and so, under iteration, laminations converge exponentially to the stable lamination. We study the rate of this convergence and give examples of families of pseudo-Anosov mapping classes where the rate goes to one, decaying exponentially with the word length. Furthermore we prove that this behaviour is the worst possible. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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