• Corpus ID: 250088921

KPZ limit theorems

  title={KPZ limit theorems},
  author={Jinho Baik},
  • J. Baik
  • Published 28 June 2022
  • Mathematics
One-dimensional interacting particle systems, 1+1 random growth models, and two-dimensional directed polymers define 2d height fields. The KPZ universality conjecture posits that an appropriately scaled height function converges to a model-independent universal random field for a large class of models. We survey limit theorems for a few models and discuss changes that arise in different domains. In particular, we present recent results on periodic domains. We also comment on integrable probability… 



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