Tue, April 24, 2018
Public Access Category: All |
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- Time:
- 4:00pm-5:00pm
- Location:
- Ramanujan Hall, Department of Mathematics
- Description:
- Mathematics Colloquium
Speaker: Prof. Parthanil Roy
Stat-Math Unit, ISI Bangalore
Date and Time: Tuesday 24th April, 2018; 4 p.m. to 5 p.m.
Venue: Ramanujan Hall
Title: Branching Random Walks: Two Conjectures, Two Theorems and a Question
Abstract: Branching random walk arises naturally in mathematical biology,
statistical physics and probability theory. Roughly speaking, it models a
system of growing particles or organisms that invades an environment in a
systematic fashion. Two famous statistical physicists (Eric Brunet and
Bernard Derrida) made conjectures about the long run configurations of
positions of particles in a branching random walk, and asked an open
question in their seminal work in 2011. Their question was answered
positively by Maillard (2013), and the conjectures were mathematically
proved recently by Madaule (2017) under certain conditions. In this talk,
we shall concentrate on the PhD thesis of Ayan Bhattacharya, who verified
Brunet-Derrida conjectures outside the Maillard-Madaule setup. If time
permits, some other recent related work will also be discussed.
This talk will be based on joint work with Ayan Bhattcharya and Rajat
Subhra Hazra. The papers are available in https://arxiv.org/abs/1411.5646
and https://arxiv.org/abs/1601.01656.