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math.PR2024
Ancestral lineages for a branching annihilating random walk
Pascal Oswald
We study ancestral lineages of individuals of a stationary discrete-time branching annihilating random walk (BARW) on the -dimensional lattice . Each individual pr…
math.PR2023
Survival and complete convergence for a branching annihilating random walk
Matthias Birkner, Alice Callegaro, Jiří Černý +2
We study a discrete-time branching annihilating random walk (BARW) on the -dimensional lattice. Each particle produces a Poissonian number of offspring with mean which indep…
math.PR2022
On the tightness of the maximum of branching Brownian motion in random environment
Jiří Černý, Alexander Drewitz, Pascal Oswald
We consider one-dimensional branching Brownian motion in spatially random branching environment (BBMRE) and show that for almost every realisation of the environment, the distribut…