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- W3100414275 abstract "We consider the asymmetric simple exclusion process (ASEP) on the positive integers with an open boundary condition. We show that, when starting devoid of particles and for a certain boundary condition, the height function at the origin fluctuates asymptotically (in large time $tau$) according to the Tracy-Widom GOE distribution on the $tau^{1/3}$ scale. This is the first example of KPZ asymptotics for a half-space system outside the class of free-fermionic/determinantal/Pfaffian models. Our main tool in this analysis is a new class of probability measures on Young diagrams that we call half-space Macdonald processes, as well as two surprising relations. The first relates a special (Hall-Littlewood) case of these measures to the half-space stochastic six-vertex model (which further limits to ASEP) using a Yang-Baxter graphical argument. The second relates certain averages under these measures to their half-space (or Pfaffian) Schur process analogs via a refined Littlewood identity." @default.
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- W3100414275 date "2018-09-15" @default.
- W3100414275 modified "2023-09-30" @default.
- W3100414275 title "Stochastic six-vertex model in a half-quadrant and half-line open asymmetric simple exclusion process" @default.
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- W3100414275 doi "https://doi.org/10.1215/00127094-2018-0019" @default.
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