Separating systole for random hyperbolic surfaces of Weil-Petersson model

Time：Tue. 13:30 - 14:30, 2022-11-15

Venue：Jinchunyuan West Building, Conference Room Zoom Meeting ID: 405 416 0815 Passcode: 111111 3 （middle floor)

Organizer：陈伟彦、高鸿灏、黄意、林剑锋、江怡

Speaker：Yuhao XUE, YMSC

Abstract

In this talk, we will discuss the behavior of the separating systole for random hyperbolic surfaces with respect to the Weil-Petersson measure of the moduli space. We show that its length is approximately 2log(g)-4log(log(g)) and it separates out a one-holed torus for generic surfaces. Some other geometric quantities are also considered. This talk is based on joint works with Xin Nie, Hugo Parlier and Yunhui Wu.

DATENovember 15, 2022

Related News

0
Long time behaviour of the parabolic Anderson Model in the hyperbolic space
YMSC Probability SeminarOrganizers：吴昊，杨帆，姜建平，顾陈琳Speaker：Xi Geng 耿曦University of MelbourneTime：Thur., 15:40-16:40, Dec. 19, 2024Venue：C548, Shuangqing Complex Building ATitle：Long time behaviour of the parabolic Anderson Model in the hyperbolic spaceAbstract:In this talk, we discuss both the moment and almost-sure asymptotics for the parabolic Anderson model in the hyperbolic...
1
Limit sets for branching random walks on relatively hyperbolic groups
AbstractBranching random walks (BRW) on groups consist of two independent processes on the Cayley graphs: branching and movement. Start with a particle on a favorite location of the graph. According to a given offspring distribution, the particles at the time n split into a random set of particles with mean $r \ge 1$, each of which then moves independently with a fixed step distribution to the ...