Wednesday 1 March 2023 at 16:00

Organised in collaboration with the School of Mathematics, University of Bristol, UK

KPZ Limit Theorems

Jinho Baik, University of Michigan, USA

One-dimensional interacting particle systems, 1+1 random growth models, and two-dimensional directed polymers define two-dimensional random fields. The KPZ universality conjectures that an appropriately scaled height function converges to a model-independent universal random field for a large class of models. We survey some of the limit theorems and discuss changes that arise when we consider different domains. In particular, we present recent results on periodic domains. We also comment on integrable probability models, integrable differential equations, and universality

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