Slow north-south dynamics on \(\mathcal{PLM}\) (note on the copyright) (Q1691973)
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scientific article; zbMATH DE number 6829763
| Language | Label | Description | Also known as |
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| English | Slow north-south dynamics on \(\mathcal{PLM}\) (note on the copyright) |
scientific article; zbMATH DE number 6829763 |
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Slow north-south dynamics on \(\mathcal{PLM}\) (note on the copyright) (English)
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25 January 2018
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Summary: We consider the action of a pseudo-Anosov mapping class on \(\mathcal{PML}(S)\). 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.
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invariant lamination
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pseudo-Anosov mapping class
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iteration
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0.9870051145553588
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0.8004343509674072
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0.7126035094261169
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