The Combinatorics of Multispecies Asymmetric Simple Exclusion Processes
I will begin by motivating the study of exclusion processes from the
viewpoint of
statistical physics. I will then explain the combinatorics of stationary
distributions of the multispecies exclusion processes using the matrix
ansatz, the
multiline queues of Ferrari and Martin, and explaining the connection
to nonsymmetric
and symmetric Macdonald polynomials along the way.