Seminar series
Date
Tue, 26 Nov 2024
Time
14:00 -
15:00
Location
Online
Speaker
Élie Aïdékon
Organisation
Fudan University
Let $(V(u))$ be a branching random walk and $(\eta(u))$ be i.i.d marks on the vertices. To each path $\xi$ of the tree, we associate the discounted sum $D(\xi)$ which is the sum of the $\exp(V(u))\eta_u$ along the path. We study conditions under which $\sup_\xi D(\xi)$ is finite, answering an open question of Aldous and Bandyopadhyay. We will see that this problem is related to the study of the local time process of the branching random walk along a path. It is a joint work with Yueyun Hu and Zhan Shi.
Further Information
Part of the Oxford Discrete Maths and Probability Seminar, held via Zoom. Please see the seminar website for details.