# Branching Brownian motion in an expanding ball and application to the mild obstacle problem

@inproceedings{Oz2021BranchingBM, title={Branching Brownian motion in an expanding ball and application to the mild obstacle problem}, author={Mehmet Oz}, year={2021} }

We first consider a d-dimensional branching Brownian motion (BBM) evolving in an expanding ball, where the particles are killed at the boundary of the ball, and the expansion is subdiffusive in time. We study the large-time asymptotic behavior of the mass inside the ball, and obtain a large-deviation (LD) result as time tends to infinity on the probability that the mass is aytpically small. Then, we consider the problem of BBM among mild Poissonian obstacles, where a random ‘trap field’ in Rd…

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