3 papers
math.SP2026
Bass notes of random hyperbolic surfaces of large genus
Bram Petri
This is a Séminaire 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 su…
math.SP2025
Apollonian random manifolds and their bass notes
Will Hide, Bram Petri, Anna Roig-Sanchis +1
We study the spectrum of the Laplacian on two models of random hyperbolic 3-orbifolds, related to the Apollonian group and the super Apollonian group. We determine explicit spectra…
math.SP2024
Limit points of uniform arithmetic bass notes
Will Hide, Bram Petri
We prove that the set of limit points of the set of all spectral gaps of closed arithmetic hyperbolic surfaces equals .