91 citations · 323 across the 30 of their papers we have counts for
35 papers
Quantum Ergodicity on large hyperbolic surfaces for local and pseudolocal operators
Nalini Anantharaman, Soumyajit Saha
We prove a quantum ergodicity theorem for sequences of closed hyperbolic surfaces converging to the Poincaré disc in the Benjamini-Schramm sense. Assuming a uniform lower bound on…
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…
Friedman-Ramanujan functions in random hyperbolic geometry and application to spectral gaps II
Nalini Anantharaman, Laura Monk
The core focus of this series of two articles is the study of the distribution of the length spectrum of closed hyperbolic surfaces of genus , sampled randomly with respect to t…
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…
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…
Friedman-Ramanujan functions in random hyperbolic geometry and application to spectral gaps I
Nalini Anantharaman, Laura Monk
In this series of articles, we analyse the level-sets of length functions on the moduli space of compact hyperbolic surfaces of fixed genus. This work ultimately culminates in a pr…