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2018 Universality of the GOE Tracy-Widom distribution for TASEP with arbitrary particle density
Patrik L. Ferrari, Alessandra Occelli
Electron. J. Probab. 23: 1-24 (2018). DOI: 10.1214/18-EJP172

Abstract

We consider TASEP in continuous time with non-random initial conditions and arbitrary fixed density of particles $\rho \in (0,1)$. 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. "Universality of the GOE Tracy-Widom distribution for TASEP with arbitrary particle density." Electron. J. Probab. 23 1 - 24, 2018. https://doi.org/10.1214/18-EJP172

Information

Received: 11 May 2017; Accepted: 28 April 2018; Published: 2018
First available in Project Euclid: 1 June 2018

zbMATH: 06924663
MathSciNet: MR3814245
Digital Object Identifier: 10.1214/18-EJP172

Subjects:
Primary: 60K35, 82C22
Secondary: 60B20, 82B23

JOURNAL ARTICLE
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Vol.23 • 2018
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