Transcience and recurrence for branching random walks in random environment

20 November 2007
15:30
Sebastian Muller
Abstract
We give different criteria for transience of branching Markov chains. These conditions enable us to give a classification of branching random walks in random environment (BRWRE) on Cayley graphs in recurrence and transience. This classification is stated explicitly for BRWRE on $\Z^d.$ Furthermore, we emphasize the interplay between branching Markov chains, the spectral radius, and some generating functions.
  • Combinatorial Theory Seminar