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Séminaire de Probabilités commun ICJ/UMPA

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

by Patrik Ferrari

jeudi 1 mars 2018 de au (Europe/Paris)
at ICJ ( Fokko du Cloux )
Description
We consider TASEP in continuous time with non‐random initial conditions and arbitrary fixed density of particles rho. 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.
(Joint work with Alessandra Occelli)