Geodesic
Growth of pseudo-Anosov conjugacy classes in Teichmüller space
Jiawei Han1
1Vanderbilt University, Nashville, USA
Groups, geometry, and dynamics, Tome 17 (2023) no. 3, pp. 1073-1083

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DOI

Athreya, Bufetov, Eskin and Mirzakhani (2012) have shown that the number of mapping class group lattice points intersecting a closed ball of radius R in Teichmüller space is asymptotic to ehR, where h is the dimension of the Teichmüller space. We show for any pseudo-Anosov mapping class f, there exists a power n, such that the number of lattice points of the fn conjugacy class intersecting a closed ball of radius R is coarsely asymptotic to e2h​R.
DOI : 10.4171/ggd/724
Classification : 30-XX
Mots-clés : Teichmüller theory, mapping class groups

Jiawei Han  1

1 Vanderbilt University, Nashville, USA 
Jiawei Han. Growth of pseudo-Anosov conjugacy classes in Teichmüller space. Groups, geometry, and dynamics, Tome 17 (2023) no. 3, pp. 1073-1083. doi: 10.4171/ggd/724
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     title = {Growth of {pseudo-Anosov} conjugacy classes in {Teichm\"uller} space},
     journal = {Groups, geometry, and dynamics},
     pages = {1073--1083},
     year = {2023},
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     number = {3},
     doi = {10.4171/ggd/724},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/724/}
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