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arXiv · 1704.01291

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

Patrik L. Ferrari·Alessandra Occelli
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Abstract

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.

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Patrik L. Ferrari, Alessandra Occelli. 2017-04-05. Universality of the GOE Tracy-Widom distribution for TASEP with arbitrary particle density. https://arxiv.org/abs/1704.01291

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