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math.GT2026
Random Quotients of Hyperbolic Spaces with Respect to WPD Actions and Linear Connectivity of the Boundary
Inhyeok Choi, Henry Talbott
We study random quotients of acylindrically hyperbolic groups and hierchically hyperbolic groups, whose (partial) hyperbolicity is captured by their actions on Gromov hyperbolic sp…
math.GT2025
Critical Exponents on Hyperbolic Surfaces with Long Boundaries and the Asymptotic Weil-Petersson Form
Henry Talbott
We study the critical exponent random variable on moduli spaces of hyperbolic surfaces with boundary, using the normalized Weil-Petersson measures as probability me…