Probabilistic and statistical aspects of geometric group theory
Murray Elder (The University of Newcastle, Australia)
Friday 12th May, 2017 15:00-16:00 Maths and stats seminar room, level 3
I will describe an experimental attack on an intensively studied problem in group theory -- the amenability of R. Thompson's group F. We apply a Metropolis Monte Carlo algorithm to compute an asymptotic growth rate. I will try to give some general background on how probability and statistical ideas come into group theory, and if time I will mention other ideas like percolation.
No background knowledge required, I will give the essential definitions.