Lisa Hartung, Michèle Lehnen
Published 2022-07-06Version 1
We study the height of the maximal particle at time $t$ of a one dimensional branching Brownian motion with a space-dependent branching rate. The branching rate is set to zero in finitely many intervals (obstacles) of order $t$. We obtain almost sure asymptotics of the first order of the maximum, describe the path of a particle reaching this height and describe its dependence on the size and location of the obstacles.
Comments: 36 pages, 4 figures
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Escape probabilities for branching Brownian motion among mild obstacles
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