Seminar series
Date
Tue, 20 Nov 2007
15:30
15:30
Location
SR1
Speaker
Sebastian Muller
Organisation
Graz
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.