On a branching random walk in a disastrous environment

開催日時: 
2018/03/16 Fri 15:00 - 16:30
場所: 
3号館552号室
講演者: 
Stefan Junk
講演者所属: 
Technical University of Munich
概要: 

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.