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Talk

Jacobi triple product via the exclusion process

  • Marton Balazs Balazs (Bristol University)
A3 01 (Sophus-Lie room)

Abstract

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.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

Upcoming Events of this Seminar

  • Tuesday, 04.06.24 tba with Vadim Gorin
  • Tuesday, 11.06.24 tba
  • Tuesday, 25.06.24 tba with Paul Dario
  • Tuesday, 25.06.24 tba with Julian Fischer
  • Tuesday, 16.07.24 tba with Michael Loss
  • Tuesday, 20.08.24 tba with Tomasz Komorowski
  • Tuesday, 03.12.24 tba with Patricia Gonçalves