Institut für Mathematik


Modul:   MAT971  Stochastische Prozesse

Some recent progress on the KPZ fixed point

Vortrag von Prof. Dr. Daniel Remenik

Datum: 02.06.21  Zeit: 17.15 - 19.00  Raum:

The KPZ fixed point is the Markov process which arises as the universal scaling limit of all models in the KPZ universality class, a broad collection of models including one-dimensional random growth, directed polymers and particle systems. It contains all of the rich fluctuation behavior seen in the class, which for some initial data relates to distributions from random matrix theory. In this talk I'm going to introduce this process and discuss some of the recent progress in its study by several groups of authors, including questions about the construction of the process, about its universality and integrability, and about detailed descriptions of some of its properties.