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Random surfaces with large systoles

Published 18 Dec 2023 in math.GT, math.CO, math.GR, and math.PR | (2312.11428v2)

Abstract: 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 area. This also allows us to prove a new lower bound on the maximal systole of a closed orientable hyperbolic surface of a given genus.

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Authors (2)

  1. Mingkun Liu 
  2. Bram Petri 

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