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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.
