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Slow north-south dynamics on PML
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Bell, Mark Christopher and Schleimer, Saul (2017) Slow north-south dynamics on PML. Groups, Geometry, and Dynamics, 11 (3). pp. 1103-1112. doi:10.4171/GGD/423 ISSN 1661-7207.
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Official URL: https://doi.org/10.4171/GGD/423
Abstract
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.
Item Type: | Journal Article | ||||||
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Subjects: | Q Science > QA Mathematics | ||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Library of Congress Subject Headings (LCSH): | Geometry, Algebraic, Anosov diffeomorphisms, Mappings (Mathematics) | ||||||
Journal or Publication Title: | Groups, Geometry, and Dynamics | ||||||
Publisher: | European Mathematical Society | ||||||
ISSN: | 1661-7207 | ||||||
Official Date: | 2017 | ||||||
Dates: |
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Volume: | 11 | ||||||
Number: | 3 | ||||||
Page Range: | pp. 1103-1112 | ||||||
DOI: | 10.4171/GGD/423 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Date of first compliant deposit: | 17 October 2017 | ||||||
Date of first compliant Open Access: | 17 October 2017 |
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