Bass notes of random hyperbolic surfaces of large genus

Bram Petri

Bass notes of random hyperbolic surfaces of large genus

Spectral Theory 2026-07-07 v1 Differential Geometry Probability

Authors: Bram Petri

Abstract

This is a S\'eminaire Bourbaki survey on spectral gaps of random hyperbolic surfaces. The first part of the text is a brief survey on the geometry and spectra of random hyperbolic surfaces. After this, we discuss the results by Hide-Magee, Anantharaman-Monk and Hide-Macera-Thomas on near optimal spectral gaps for random surfaces.

Keywords

random hyperbolic surfaces spectral gaps large genus Bourbaki survey near optimal spectral gaps

Cite

@article{arxiv.2607.06331,
  title  = {Bass notes of random hyperbolic surfaces of large genus},
  author = {Bram Petri},
  journal= {arXiv preprint arXiv:2607.06331},
  year   = {2026}
}

Comments

63 pages, 11 figures, Exposé number 1255