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Paper detail

Escape probabilities for branching Brownian motion among mild obstacles

We derive asymptotics for the quenched probability that a critical branching Brownian motion killed at a small rate in Poissonian obstacles exits a large domain. Results are formulated in terms of the solution to a semilinear partial differential equation with singular boundary conditions. The proofs depend on a quenched homogenization theorem for branching Brownian motion among mild obstacles.

preprint2011arXivOpen access
Jean-Francois Le GallAmandine Veber
math.PR
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Jean-Francois Le GallAmandine Veber

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