Growth of pseudo-Anosov conjugacy classes in Teichmüller space
نویسندگان
چکیده
Athreya, Bufetov, Eskin and Mirzakhani have shown the number of mapping class group lattice points intersecting a closed ball radius $R$ in Teichm\"{u}ller space is asymptotic to $e^{hR}$, where $h$ dimension space. We show for any pseudo-Anosov $f$, there exists power $n$, such that $f^n$ conjugacy coarsely $e^{\frac{h}{2}R}$.
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ژورنال
عنوان ژورنال: Groups, Geometry, and Dynamics
سال: 2023
ISSN: ['1661-7207', '1661-7215']
DOI: https://doi.org/10.4171/ggd/724