Extremal Process of Last Progeny Modified Branching Random WalksOberseminar Stochastics

by Partha Ghosh (TU Braunschweig)

Thursday Nov 13, 2025, 4:30 PM → 5:30 PM Europe/Berlin

Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)

In this work, we consider a modification of the usual Branching Random Walk
(BRW), where the position of each particle at the last generation n is modified
by an i.i.d. copy of a random variable Y , which may differ from the driving
increment distribution. This model was introduced by Bandyopadhyay and
Ghosh (2021) and they termed it as Last Progeny Modified Branching Ran-
dom Walk (LPM-BRW). Depending on the asymptotic properties of the tail
of Y , we describe the asymptotic behaviour of the extremal process of this
model as n → ∞.
This work is a joint work with Bastien Mallein.

 

https://wt.iam.uni-bonn.de/fileadmin/WT/Inhalt/oberseminar/2025_11_13_Partha_Ghosh.pdf