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We consider the large deviations from the hydrodynamic limit of the Totally Asymmetric Simple Exclusion Process (TASEP).
Fluctuations and irreversible processes
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Diffusive fluctuations for one-dimensional totally asymmetric interacting random dynamics
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P. Le Doussal, S. N. Majumdar, A. Rosso, and G. Schehr · 2016
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Large deviations for the height in 1D Kardar–Parisi–Zhang growth at late times
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Exact large deviation functional of a stationary open driven diffusive system: the asymmetric exclusion process
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Minimal entropy conditions for Burgers equation
C. De Lellis, F. Otto, and M. Westdickenberg · 2004
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J. Fritz and B. Tóth · 2004
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Density large deviations for multidimensional stochastic hyperbolic conservation laws
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Coulomb-gas electrostatics controls large fluctuations of the Kardar–Parisi–Zhang equation
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Simple derivation of the ( − λ H ) 5 / 2 (-\lambda H)^{5/2} tail for the 1D KPZ equation
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Systematic time expansion for the Kardar-Parisi-Zhang equation, linear statistics of the GUE at the edge and trapped fermions
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Large fluctuations of a Kardar–Parisi–Zhang interface on a half line
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Optimal paths of nonequilibrium stochastic fields: The Kardar–Parisi–Zhang interface as a test case
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Linear statistics and pushed Coulomb gas at the edge of β \beta -random matrices: Four paths to large deviations
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Exceedingly large deviations of the totally asymmetric exclusion process
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Large deviations for the Kardar–Parisi–Zhang equation from the Kadomtsev–Petviashvili equation
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