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A Pfaffian representation for flat ASEP

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arxiv 1501.05626 v1 pith:V5HVYDJ2 submitted 2015-01-22 math.PR math-phmath.MP

classification math.PRmath-phmath.MP
keywords flatfunctionpfaffianappropriateasepasymmetricasymptoticsdata
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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.

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    cond-mat.dis-nn 2025-07 unverdicted novelty 1.0 of 10

    An expert review of the KPZ equation's history, mathematical developments, and applications, with no new research results.

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