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math.GT2023
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…
math.GT2023★ 1 cited
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…