Title: The maximal particle of branching random walk in random environment
Speaker: Alexander Drewitz
Speaker Info: Columbia University
Brief Description:
Special Note:
Abstract:
One-dimensional branching Brownian motion has been the subject of intensive research, in particular during the last decade. We consider the discrete space version of branching random walk and investigate the setting of a spatially random branching environment; in particular we are interested in the position of the maximal particle. Via the Feynman-Kac formula this is connected to fluctuations of the solutions to the parabolic Anderson model (i.e., the heat equation with a random potential) as well as to a randomized version of the Fisher-KPP equation. The Fisher-KPP equation is a fundamental reaction-diffusion partial differential equation which had originally been introduced in order to model the spread of an advantageous alelle in a population of a one-dimensional habitat.Date: Monday, October 5, 2015