# Mathematical Sciences Research Institute

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# Seminar

Integrable Structure for the Multitime Distribution of TASEP December 03, 2021 (11:00 AM PST - 12:00 PM PST)
Parent Program: Universality and Integrability in Random Matrix Theory and Interacting Particle Systems MSRI: Simons Auditorium, Online/Virtual
Speaker(s) Andrei Prokhorov (University of Michigan; Saint-Petersburg State University)
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Video

#### Integrable Structure For The Multitime Distribution Of TASEP

Abstract/Media

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Consider the continuous time totally asymmetric simple exclusion process (TASEP) on the line with the step initial condition. The infinite time scaling limit of this model belongs to the Kardar-Parisi-Zhang (KPZ) universality class. Denote its random space-time height function as h(t,y). The one point distribution as the function of three variables is the tau function of the Kadomtsev-Petviashvili (KPII) equation. The multitime distribution has the representation as the multiple contour integral of the integrable Fredholm determinant. We study the differential equations associated with it.

 Integrable Structure for the Multitime Distribution of TASEP 454 KB application/pdf