The ASEP speed process

2022/04/11 by Aggarwal, Amol, Corwin, Ivan, Ghosal, Promit · 2 citations
#FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.2204.05395

Abstract

For ASEP with step initial data and a second class particle started at the origin we prove that as time goes to infinity the second class particle almost surely achieves a velocity that is uniformly distributed on [-1,1]. This positively resolves Conjecture 1.9 and 1.10 of [Amir, Angel and Valko, "The TASEP speed process", Annals of Probability 39, 1205--1242, 2011] and allows us to construct the ASEP speed process.

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• On the convoy of the ASEP speed process
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