Seminar

Branching random walk can be viewed as particles performing random walks while branching at integer time. We review some existing results on the minimal displacement, when each particle moves and branches independently according the same step distribution and the same branching law. Then we will compare them with similar but modified models. In one variation, we will consider the asymptotic behavior of the particle at time n, whose ancestors’ location are consistently small. In another variation, we will consider the maximal displacement for the model, where the step distributions vary macroscopically with respect to time.