### Jacobi triple product via the exclusion process

Probability Seminar

14th December 2018, 2:00 pm – 3:00 pm

Howard House, 4th Floor Seminar Room

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 number theory and

combinatorics. 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.

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