25 citations · 57 across the 12 of their papers we have counts for
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math.GT2020★ 18 cited
A high-genus asymptotic expansion of Weil-Petersson volume polynomials
Nalini Anantharaman, Laura Monk
The object under consideration in this article is the total volume of the moduli space of hyperbolic surfaces of genus with boundary components…
math.GT2020
The tangle-free hypothesis on random hyperbolic surfaces
Laura Monk, Joe Thomas
This article introduces the notion of L-tangle-free compact hyperbolic surfaces, inspired by the identically named property for regular graphs. Random surfaces of genus g, picked w…
math.PR2020★ 2 cited
Benjamini-Schramm convergence and spectrum of random hyperbolic surfaces of high genus
Laura Monk
We study geometric and spectral properties of typical hyperbolic surfaces of high genus, excluding a set of small measure for the Weil-Petersson probability measure. We first prove…