The KPZ fixed point: Part II

Abstract: The KPZ fixed point, the universal limit of all models in the KPZ universality class, is obtained as the scaling limit of the totally asymmetric simple exclusion process (TASEP). The main ingredient in the construction is an explicit formula for the distribution of TASEP in terms of the Fredholm determinant of a kernel which involves certain random walk hitting times. The formula has a natural scaling limit which defines the KPZ fixed point and can be used to show that its transition probabilities are integrable.

analysis of PDEsprobability

Audience: researchers in the discipline

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Stochastic PDEs and their friends

Series comments: We are organizing a three day online workshop devoted to recent developments in SPDEs and related topics. Please complete the registration form at forms.gle/G9Xw942iVNNgB4SLA if you would like to take part in the conference.

Confirmed speakers:

Yuri BAKHTIN (NYU)

Ajay CHANDRA (Imperial)

Dan CRISAN (Imperial)

Nina HOLDEN (ETH Zurich)

Kostantin KHANIN (U Toronto)

Davar KHOSHNEVISAN (University of Utah)

Nicolai KRYLOV (University of Minnesota)

Jonathan MATTINGLY (Duke)

Leonid MYTNIK (Technion)

Nicolas PERKOWSKI (Free U Berlin)

Ellen POWELL (Durham University)

Jeremy QUASTEL (U Toronto)

Daniel REMENIK (Universidad de Chile)

Armen SHIRIKYAN (University of Cergy-Pontoise)

Gigliola STAFFILANI (MIT)

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