Growth-Fragmentation in a Planar Brownian Excursion

Growth-Fragmentation in a Planar Brownian Excursion
Date & Time: 
Tuesday, September 17, 2019 - 11:00 to 12:00
Elie Aidekon, Sorbonne University and NYU Shanghai
Room 310, NYU Shanghai | 1555 Century Avenue, Pudong, Shanghai, China


Consider a Brownian excursion from 0 to 1 in the upper half-plane. It (possibly) makes excursions above the horizontal line of height $t>0$. For each such excursion, one records the difference between its ending point and its starting point. This collection of real numbers, seen as a process in $t$, evolves like a growth-fragmentation process that we characterize. Joint work with William Da Silva.


Elie Aidekon is a lecturer at Sorbonne Universite since 2011. He is a visiting associate professor at NYU Shanghai for the year 2019-2020.

Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai