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- W3100359186 endingPage "385001" @default.
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- W3100359186 abstract "We consider the one-dimensional Kardar-Parisi-Zhang (KPZ) equation with half Brownian motion initial condition, studied previously through the weakly asymmetric simple exclusion process. We employ the replica Bethe ansatz and show that the generating function of the exponential moments of the height is expressed as a Fredholm determinant. From this the height distribution and its asymptotics are studied. Furthermore using the replica method we also discuss the multi-point height distribution. We find that some nice properties of the deformed Airy functions play an important role in the analysis." @default.
- W3100359186 created "2020-11-23" @default.
- W3100359186 creator A5030499608 @default.
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- W3100359186 date "2011-09-01" @default.
- W3100359186 modified "2023-10-16" @default.
- W3100359186 title "Replica approach to the KPZ equation with the half Brownian motion initial condition" @default.
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- W3100359186 doi "https://doi.org/10.1088/1751-8113/44/38/385001" @default.
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