Event Type:

Probability Seminar

Date/Time:

Tuesday, March 1, 2011 - 08:00

Location:

Bexell 323

Local Speaker:

Abstract:

We consider a class of branching random walks that arise in connection with certain tree polymer models. A result characterizing a.s. connectivity of the support time-asymptotically is obtained for a range of parameter values. The mean of the (normalized) proportions of branching random walkers at integer sites {0,1,...,n} is exactly given by a binomial distribution. It is therefore natural to consider whether a CLT for the underlying random proportions might hold. Some connections with weak/strong disorder in the tree polymer will also be indicated. This is based on joint work with my PhD thesis advisor Ed Waymire.