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math.GT2024★ 2 cited
Spectral gap of random hyperbolic surfaces
Nalini Anantharaman, Laura Monk
Let be a closed, connected, oriented surface of genus , with a hyperbolic metric chosen at random according to the Weil--Petersson measure on the moduli space of Riemannian…
math.GT2024
A Moebius inversion formula to discard tangled hyperbolic surfaces
Nalini Anantharaman, Laura Monk
Recent literature on Weil-Petersson random hyperbolic surfaces has met a consistent obstacle: the necessity to condition the model, prohibiting certain rare geometric patterns (whi…
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…