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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:
Location: 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.

92110?type=thumb Integrable Structure for the Multitime Distribution of TASEP 454 KB application/pdf

Integrable Structure For The Multitime Distribution Of TASEP