 PHD CONFIRMATION SEMINAR
 Speaker: John Harrison, CARMA, The University of Newcastle
 Title: Random Walks on Groups
 Location: Room GP216, General Purpose Building (Callaghan Campus) The University of Newcastle
 Dates: 11:30 am, Tue, 24^{th} Feb 2015  12:00 pm, Tue, 24^{th} Feb 2015
 Abstract:
Random walks have been used to model stochastic processes in many scientific fields. I will introduce invariant random walks on groups, where the transition probabilities are given by a probability measure. The Poisson boundary will also be discussed. It is a space associated with every group random walk that encapsulates the behaviour of the walks at infinity and gives a description of certain harmonic functions on the group in terms of the essentially bounded functions on the boundary. I will conclude with a discussion of project aims, namely to compute the boundary for certain random walks in new cases and to investigate the order structure of certain ideals in $L^1(G)$ defined for each invariant random walk.
Supervisors: Prof. George Willis, Dr Jeff Hogan.
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