Branching Random Walks: Two Conjectures and a Theorem

Branching random walk is a system of growing particles starting from one particle, which splits into a number of particles with each new particle moving independently of each other. The same dynamics goes on leading to a branching random walk, which arises naturally in physics, biology, ecology, etc. In this lucid overview talk, we shall mainly try to address the following question: if we run this model for a very very long time and take a snapshot of the particles, what would the entire system look like? In particular, we shall informally discuss how our work has verified two conjectures in an important situation that comes up in ecology. These conjectures were formulated in 2011 by two world-renowned physicists Éric Brunet and Bernard Derrida. (Based on a joint work with Ayan Bhattacharya, IIT Bombay and Rajat Subhra Hazra, Leiden University. No background on statistics is necessary.)


References:
https://arxiv.org/abs/1411.5646


YouTube Link: https://youtu.be/m1EzAOYNWew