Convergence of finite range exclusions and KPZ equation to the KPZ fixed point

Jeremy Quastel (Toronto)

23-Oct-2020, 16:30-17:30 (3 years ago)

Abstract: We will describe a method of comparison with TASEP which proves that both the KPZ equation and finite range exclusion models converge to the KPZ fixed point. For the KPZ equation and the nearest neighbour exclusion, the initial data is allowed to be a continuous function plus a finite number of narrow wedges, but for non-nearest neighbour exclusions, one needs at the present time some randomization of the initial data. We will give a little background, but the talk will mostly be about the proof. Joint work with Sourav Sarkar.

mathematical physicsprobability

Audience: researchers in the topic


Probability and the City Seminar

Series comments: The Probability and the City Seminar is organized jointly by the probability groups of Columbia University and New York University.

Video recordings of talks are posted online at www.youtube.com/channel/UC0CXjG-ZSIZHy0S40Px2FEQ .

Organizers: Ivan Z Corwin*, Eyal Lubetzky*
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