Counting pseudo-Anosov mapping classes on the 3-punctured projective plane
Autor: | Błażej Szepietowski |
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Rok vydání: | 2014 |
Předmět: | |
Zdroj: | Volume: 38, Issue: 3 524-534 Turkish Journal of Mathematics |
ISSN: | 1303-6149 1300-0098 |
Popis: | We prove that in the pure mapping class group of the 3-punctured projective plane equipped with the word metric induced by certain generating set, the ratio of the number of pseudo-Anosov elements to the number of all elements in a ball centered at the identity tends to one, as the radius of the ball tends to infinity. We also compute growth functions of the sets of reducible and pseudo-Anosov elements. |
Databáze: | OpenAIRE |
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