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Asymptotics for pseudo-Anosovs in the Teichmuller lattice

#### Joseph Maher, CUNY Staten Island

Given a point in Teichmuller space, we call the orbit of the point under
the mapping class group a Teichmuller lattice.

We show that the asymptotic growth rate of the number of pseudo-Anosov
lattice points in a ball of radius r is the same as the asymptotic growth
rate of the total number of lattice points in the ball of radius r. This
uses recent work of Athreya, Bufetov, Eskin and Mirzakhani.