On a branching random walk in a disastrous environment

2018/03/16 Fri 15:00 - 16:30
Room 552, Building No.3
Stefan Junk
Technical University of Munich

Consider a branching random walk on the integer lattice where each particle jumps to a random neighbor at rate kappa, and splits into two descendants at rate lambda. We add to this model a degeneracy, where for every site all occupants are simultaneously killed at rate 1. For this model we give a characterization for the parameters kappa and lambda where (quenched or annealed) survival has positive probability. Using this characterization we then discuss how the survival probability behaves as a function of the parameters. Joint work with Nina Gantert.