39 citations · 85 across the 15 of their papers we have counts for
26 papers
Spectral gaps of double covers of hyperbolic surfaces
Lawford Hatcher, Bram Petri
We prove that, in most moduli spaces of orientable hyperbolic surfaces of finite area, there exist surfaces all of whose covers of degree two have a new small eigenvalue. On the ot…
A sharper bound on the minimal possible diameter of a closed hyperbolic surface
Joffrey Mathien, Bram Petri
We prove that the minimal possible diameter of a closed hyperbolic surface of genus is at most .
Random surfaces with large systoles
Mingkun Liu, Bram Petri
We present two constructions, both inspired by ideas from graph theory, of sequences random surfaces of growing area, whose systoles grow logarithmically as a function of their are…
Linear programming bounds for hyperbolic surfaces
Maxime Fortier Bourque, Bram Petri
We adapt linear programming methods from sphere packings to closed hyperbolic surfaces and obtain new upper bounds on their systole, their kissing number, the first positive eigenv…
On Cheeger constants of hyperbolic surfaces
Thomas Budzinski, Nicolas Curien, Bram Petri
It is a well-known result due to Bollobas that the maximal Cheeger constant of large -regular graphs cannot be close to the Cheeger constant of the -regular tree. We prove an…
The Klein quartic maximizes the multiplicity of the first positive eigenvalue of the Laplacian
Maxime Fortier Bourque, Bram Petri
We prove that Klein quartic maximizes the multiplicity of the first positive eigenvalue of the Laplacian among all closed hyperbolic surfaces of genus , with multiplicity equal…