• 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, 24th Feb 2015 - 12:00 pm, Tue, 24th 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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