The maximal particle of branching random walk in random environment

Vortrag von Prof. Dr. Jiří Černý

Datum: 26.09.18  Zeit: 17.15 - 18.15  Raum: ETH HG G 43

The behaviour of the maximal particle of branching random walk have been subject to intensive research recently. It is natural to ask how these properties change when a spatially dependent random branching rates are introduced to the process. In my presentation, I will describe the first results in this direction, in particular a CLT for the position of the maximal particle, and explain their consequences for other models of interest: the randomized Fisher-KPP equation, and the parabolic Anderson model.