Towards optimal spectral gaps in large genus
Geometric Topology
2023-07-20 v3 Number Theory
Probability
Spectral Theory
Abstract
We show that the Weil-Petersson probability that a random surface has first eigenvalue of the Laplacian less than goes to zero as the genus goes to infinity.
Cite
@article{arxiv.2103.07496,
title = {Towards optimal spectral gaps in large genus},
author = {Michael Lipnowski and Alex Wright},
journal= {arXiv preprint arXiv:2103.07496},
year = {2023}
}
Comments
35 pages. Comments welcome. v3: Revisions based on referee comments