Article Dans Une Revue Duke Mathematical Journal Année : 2011

Lattice Point Asymptotics and Volume Growth on Teichmüller Space

Résumé

We apply some of the ideas of the Ph.D. Thesis of G. A. Margulis [Mar70] to Teichmüller space. Let X be a point in Teichmüller space, and let BR(X) be the ball of radius R centered at X (with distances measured in the Teichmüller metric). We obtain asymptotic formulas as R tends to infinity for the volume of BR(X), and also for the cardinality of the intersection of BR(X) with an orbit of the mapping class group.

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hal-01256206 , version 1 (14-01-2016)

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Jayadev Athreya, Alexander I. Bufetov, Alex Eskin, Maryam Mirzakhani. Lattice Point Asymptotics and Volume Growth on Teichmüller Space. Duke Mathematical Journal, 2011. ⟨hal-01256206⟩
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