A branching particle system as a model of pushed fronts

Oratrice : Julie Tourniaire (ISTA, Vienne) We consider a system of particles performing a one-dimensional dyadic branching Brownian motion with space-dependent branching rate $r(x)$, negative drift $−mu$, and killed upon reaching 0. More precisely, the particles branch at rate $rho/2$ in $[0, 1]$, for some $rhogeq 1$, and at rate…

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