The University of Liverpool
Department of Mathematical Sciences
Division of Statistics and Probability
SEMINAR
Review of reinforced random walks and processes
Stanislav Volkov University of Bristol
Wednesday, 28th September 2005, 2pm
The Whittaker Room (211)
Abstract:
Reinforced processes are stochastic processes (discrete or continuous time)
on graphs which exhibit "homesick" behavior, namely the like visit the
"places" the have already visited. I will describe various reinforced
random processes and their surprising properties, and outline the results
achieved in this area. A special consideration will be given to the
processes for which I have made a contribution, namely vertex-reinforced
random walks on graphs (Ann Prob 99, 01) Continuous time vertex-reinforced
jump processes (PTRF 02, 04) Excited random walk on trees (EJP, 03) OK
Corral (JTP, 03)
The talk is partly based on collaborations with Burgess Davis, Robin
Pemantle, and Sir John Kingman.
Following the talk, tea and biscuits will be available in Room 304
ALL WELCOME
********************************************************
Ingrid Harper
University of Liverpool
Department of Mathematical Sciences
Division of Statistics and Probability
Mathematical Sciences Building
Peach Street
Liverpool L69 7ZL
Tel: 0151 794 4751
Fax: 0151 794 4754
********************************************************
|