Guillaume Barraquand (Laboratoire de Probabilités et Modèles Aléatoires) Absztrakt: KPZ scaling theory for integrable exclusion processes. (BME Sztochasztika szeminárium)

The KPZ scaling theory provides a general method to compute all model-dependent constants arising in limit theorems for a large class of exclusion processes. The validity of this heuristic approach is rigorously proved only for a few exactly solvable models. In this talk, we will discuss how the theory applies for q-deformed exclusion processes introduced by Borodin-Corwin and Povolotsky : The q-TASEP and the q-Hahn TASEP. We will also introduce a two-sided generalization of the q-Hahn TASEP that preserve the integrable structure and further confirm KPZ scaling theory. This is a joint work with Ivan Corwin.

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