Seminar Event Detail


Integrable Systems and Random Matrix Theory

Date:  Monday, February 13, 2017
Location:  1866 East Hall (4:00 PM to 5:00 PM)

Title:  Coordinate Bethe ansatz method for TASEP II

Abstract:   This is a continuation of last week's talk: The totally asymmetric simple exclusion process (TASEP) is a simple but fundamental model of particle systems. It can be thought of as a simple traffic model. It was shown in 2000 that one point fluctuations of TASEP in 1+1 dimensions for certain initial conditions are given by the same distribution function occurring in random matrix theory. This result was obtained from a remarkable Fredholm determinant formula of the marginal distribution. We will discuss a proof of this Fredholm determinant formula using the so-called coordinate Bethe ansatz method developed by Schutz, Rakos, Tracy, and Widom.

Files:


Speaker:  Jinho Baik
Institution:  University of Michigan

Event Organizer:   Thomas Bothner    bothner@umich.edu

 

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