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Tuesday, April 24, 2018
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4:00pm [4:00pm]Mathematics Colloquium
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.

5:00pm