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- W2021634481 abstract "This paper investigates the geometric properties of random hyperbolic surfaces with respect to the Weil-Petersson measure. We describe the relationship between the behavior of lengths of simple closed geodesics on a hyperbolic surface and properties of the moduli space of such surfaces. First, we study the asymptotic behavior of Weil-Petersson volumes of the moduli spaces of hyperbolic surfaces of genus g as g ! 1. Then we apply these asymptotic estimates to study the geometric properties of random hyperbolic surfaces, such as the length of the shortest simple closed geodesic of a given combinatorial type." @default.
- W2021634481 created "2016-06-24" @default.
- W2021634481 creator A5058749368 @default.
- W2021634481 date "2011-06-01" @default.
- W2021634481 modified "2023-09-27" @default.
- W2021634481 title "On Weil-Petersson Volumes and Geometry of Random Hyperbolic Surfaces" @default.
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- W2021634481 doi "https://doi.org/10.1142/9789814324359_0089" @default.
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