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math.PR2022
Maximum of Branching Brownian Motion among mild obstacles
Lisa Hartung, Michèle Lehnen
We study the height of the maximal particle at time of a one dimensional branching Brownian motion with a space-dependent branching rate. The branching rate is set to zero in f…
math.PR2022
The speed of invasion in an advancing population
Anton Bovier, Lisa Hartung
We derive rigorous estimates on the speed of invasion of an advantageous trait in a spatially advancing population in the context of a system of one-dimensional F-KPP equations. Th…