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We establish the first tight bound on the lower tail probability of the half-space KPZ equation with Neumann boundary parameter $A = -1/2$ and narrow-wedge initial data.
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A. Krajenbrink, P. Le Doussal, and S. Prolhac · 2018
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Operator limits of random matrices
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The One-Dimensional KPZ Equation and Its Universality Class
Jeremy Quastel and Herbert Spohn · 2015
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Directed random polymers via nested contour integrals
A. Borodin, A. Bufetov, and I. Corwin · 2016
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Moments match between the KPZ equation and the Airy point process
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The 1D Kardar-Parisi-Zhang equation: Height distribution and universality
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Intermediate disorder regime for half-space directed polymers, 2018
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Some algebraic structures in the KPZ universality
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The KPZ limit of ASEP with boundary
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Replica Bethe Ansatz solution to the Kardar-Parisi-Zhang equation on the half-line
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http://dlmf.nist.gov/, Release 1.1.0 of 2020-12-15
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