The sixth Jyotiprasad Medhi Memorial Annual Lecture will be delivered by Prof. Parthanil Roy, Indian Statistical Institute, Bangalore. on October 12th at 05:15 PM.
Title of the Lecture: Branching Random Walks: Two Conjectures and a Theorem
Venue: Lecture Hall 4, IIT Guwahati
Abstract:
Branching random walk is a system of growing particles that starts with one particle. This particle splits into a number of particles, and each new particle makes a displacement independently of each other. The same dynamics goes on and on, and gives rise to a branching random walk, which arises in physics, biology, ecology, etc. It is important because it has connections to various other models in the fields of science mentioned above. In this overview talk, we shall mainly try to address the following question: if we run a branching random walk for a very very long time and take a snapshot of the particles, what would the entire system look like? In particular, we shall lucidly discuss how our theorem has verified two conjectures in an important special case. These conjectures were formulated in 2011 by two world-renowned physicists Éric Brunet and Bernard Derrida.