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20132026
most citedLengths of closed geodesics on random surfaces of large genus

39 citations · 85 across the 15 of their papers we have counts for

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Showing 2014 · math.GTShow all

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math.GT2014

The genus of curve, pants and flip graphs

Hugo Parlier, Bram Petri

This article is about the graph genus of certain well studied graphs in surface theory: the curve, pants and flip graphs. We study both the genus of these graphs and the genus of t…

math.GT2014

Finite length spectra of random surfaces and their dependence on genus

Bram Petri

The main goal of this article is to understand how the length spectrum of a random surface depends on its genus. Here a random surface means a surface obtained by randomly gluing t…