Will Hide

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20212025

most citedNear optimal spectral gaps for hyperbolic surfaces

5 citations · 6 across the 10 of their papers we have counts for

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math.SP2021

Spectral gap for Weil-Petersson random surfaces with cusps

Will Hide

We show that for any $ε > 0$ , $α \in [0, \frac{1}{2})$ , as $g \to \infty$ a generic finite-area genus g hyperbolic surface with $n = O (g^{α})$ cusps, sampled with probability arisi…

math.SP2021★ 5 cited

Near optimal spectral gaps for hyperbolic surfaces

Will Hide, Michael Magee

We prove that if $X$ is a finite area non-compact hyperbolic surface, then for any $ε > 0$ , with probability tending to one as $n \to \infty$ , a uniformly random degree $n$ Riemannian…