

Abstract for the talk on 18.06.2019 (15:15 h)
Oberseminar ANALYSIS - PROBABILITYMarton Balazs Balazs (Bristol University)
Jacobi triple product via the exclusion process
I will give a brief overview of very simple, hence maybe less investigated
structures in interacting particle systems: reversible product blocking
measures. These turn out to be more general than most people would think, in
particular asymmetric simple exclusion and nearest-neighbour asymmetric zero
range processes both enjoy them. But a careful look reveals that these two are
really the same process. Exploitation of this fact gives rise to the Jacobi
triple product formula - an identity previously known from algebra,
combinatorics and number theory. I will show you the main steps of deriving it
from pure probability this time, and I hope to surprise my audience as much as
we got surprised when this identity first popped up in our notebooks.