Probability and analysis informal seminar
After a brief historical review, I will explain how to pick a (uniform) random hyperbolic surface of genus g. After that, we will focus on the length spectrum. More specifically, we will examine short closed geodesics on a random hyperbolic surface of genus g. It turns out that, when g is big, the lengths of these geodesics are distributed just like the short cycles in a large random graph. This is a joint work with Simon Barazer and Alessandro Giacchetto.
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Thierry Bodineau, Pieter Lammers, Yilin Wang
