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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
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
