Probability and Stochastic Analysis - University of Bonn

Abstract of "Universality of the GOE Tracy-Widom distribution for TASEP with arbitrary particle density"

with Alessandra Occelli.

We consider TASEP in continuous time with non-random initial conditions and arbitrary fixed density of particles. We show GOE Tracy-Widom universality of the one-point fluctuations of the associated height function. The result phrased in last passage percolation language is the universality for the point-to-line problem where the line has an arbitrary slope.

Postscript file: [PS]

PDF file: [PDF]

arXiv: 1704.01291