• Corpus ID: 253383950

One-point asymptotics for half-flat ASEP

@inproceedings{Dimitrov2022OnepointAF,
  title={One-point asymptotics for half-flat ASEP},
  author={Evgeni Dimitrov and Anushka Murthy},
  year={2022}
}
. We consider the asymmetric simple exclusion process (ASEP) with half-flat initial condition. We show that the one-point marginals of the ASEP height function are described by those of the Airy 2 → 1 process, introduced by Borodin-Ferrari-Sasamoto in (Commun. Pure Appl. Math., 61, 1603-1629, 2008). This result was conjectured by Ortmann-Quastel-Remenik (Ann. Appl. Probab., 26, 507-548), based on an informal asymptotic analysis of exact formulas for generating functions of the half-flat ASEP… 

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