most citedSpectral gap of random hyperbolic surfaces

2 citations · 2 across the 4 of their papers we have counts for

collaborators

3 papers

math.SP2026

Typical hyperbolic surfaces have a spectral gap greater than

Nalini Anantharaman, Laura Monk

In this article, we prove that typical hyperbolic surfaces, sampled with the Weil-Petersson probability measure, have a spectral gap at least . This is an intermediate res…

math.SP2024

The moduli space of twisted Laplacians and random matrix theory

Jens Marklof, Laura Monk

Rudnick recently proved that the spectral number variance for the Laplacian of a large compact hyperbolic surface converges, in a certain scaling limit and when averaged with respe…

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…