Showing 2023Show all
2 papers · 1 filter
math.DS2023
Average diffusion rate of Ehrenfest Wind-tree billiards
Simon Barazer
One of the versions of the wind-tree model of Boltzmann gas, suggested by Paul and Tatiana Ehrenfest more than a century ago, can be seen as a billiard in the plane endowed with $\…
math.PR2023
Length spectrum of large genus random metric maps
Simon Barazer, Alessandro Giacchetto, Mingkun Liu
We study the length of short cycles on uniformly random metric maps (also known as ribbon graphs) of large genus using a Teichmüller theory approach. We establish that, as the genu…