Abstract for the talk on 18.06.2019 (15:15 h)

Oberseminar ANALYSIS - PROBABILITY

Marton 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.