A Pfaffian representation for flat ASEP

Abstract

We obtain a Fredholm Pfaffian formula for an appropriate generating function of the height function of the asymmetric simple exclusion process starting from flat (periodic) initial data. Formal asymptotics lead to the GOE Tracy-Widom distribution.

References in corpus (7)

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• Fluctuation properties of the TASEP with periodic initial configuration
• A Fredholm Determinant Representation in ASEP
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• Large fluctuations of the KPZ equation in a half-space
• Half-space stationary Kardar-Parisi-Zhang equation
• Determinantal structures in the O'Connell-Yor directed random polymer model
• How flat is flat in random interface growth?
• Replica Bethe Ansatz solution to the Kardar-Parisi-Zhang equation on the half-line
• From Painlevé to Zakharov-Shabat and beyond: Fredholm determinants and integro-differential hierarchies
• Mutually avoiding paths in random media and largests eigenvalues of random matrices
• Cutoff profile of the Metropolis biased card shuffling
• Stationary Higher Spin Six Vertex Model and $q$-Whittaker measure
• GUE $\times$ GUE limit law at hard shocks in ASEP
• Cutoff and discrete Product Structure in ASEP