Algebraic and Combinatorial Aspects of Multispecies Exclusion Processes

by Dr. Arvind Ayyer (University of California, Davis)

Tuesday, January 8, 2013 from 16:00 to 17:00 (Asia/Kolkata)
at Colaba Campus ( AG69 )

Description

The multispecies exclusion process is a natural probabilistics model
that we consider on a one-dimensional lattice with periodic boundary
conditions. Since the 1990s, there has been a lot of work on
constructing the stationary distribution by statistical physicists as
well as probabilists. I will review past work on this model by both
these communities and describe some of my work with
collaborators. Very recently, this model has come up in the analysis
of random walks on certain Coxeter groups. Time permitting, I will
present some new results in that direction. This is joint work, in
parts with C. Arita, K. Mallick, S. Prolhac and S. Linusson.