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Integrable Systems and Random Matrix Theory Seminar

Multi-point distribution of periodic TASEP with general initial condition
Monday, September 17, 2018
4:00-5:00 PM
1866 East Hall Map
The height fluctuations of the models in the KPZ class are expected to converge to a universal process. The spatial process at an equal time is known to converge to the Airy process or its variations. However, the temporal process, or more generally the two-dimensional space-time fluctuation field, is less well understood. We consider this question for the periodic TASEP (totally asymmetric simple exclusion process). We evaluate the multi-time and multi-location distribution explicitly in terms of a multiple-integral involving a Fredholm determinant. With some assumptions on the initial condition, we evaluate the large time limit in the so-called relaxation time scale. This is joint with Jinho Baik. Speaker(s): Zhipeng Liu (University of Kansas)
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics