Space-inhomogeneous branching Brownian motion
We study a variant of two-dimensional branching Brownian motion (BBM) where the branching rate is inhomogeneous. Here we then study the maximum displacement, that is the maximal (Euclidean) distance of a particle to the origin. Compared to regular BBM, the order of the maximum includes polynomial correction terms which are much bigger than the usual logarithmic corrections. Our proof uses a mix of probabilistic and analytic methods. This is joint work with Julien Berestycki and Michel Pain.
Date: 11 November 2024, 17:00 (Monday, 5th week, Michaelmas 2024)
Venue: Mathematical Institute, Woodstock Road OX2 6GG
Speaker: David Geldbach (University of Oxford)
Organising department: Department of Statistics
Part of: Probability seminar
Booking required?: Not required
Audience: Members of the University only
Editors: James Martin, Julien Berestycki