457 citations · 3.8k across the 61 of their papers we have counts for
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Current moments of 1D ASEP by duality
Takashi Imamura, Tomohiro Sasamoto
We consider the exponential moments of integrated currents of 1D asymmetric simple exclusion process using the duality found by Schütz. For the ASEP on the infinite lattice we show…
The 1+1-dimensional Kardar-Parisi-Zhang equation and its universality class
Tomohiro Sasamoto, Herbert Spohn
We explain the exact solution of the 1+1 dimensional Kardar-Parisi-Zhang equation with sharp wedge initial conditions. Thereby it is confirmed that the continuum model belongs to t…
Exact height distributions for the KPZ equation with narrow wedge initial condition
Tomohiro Sasamoto, Herbert Spohn
We consider the KPZ equation in one space dimension with narrow wedge initial condition, , . Based on previous results for the weakly asymmetric simple ex…
The one-dimensional KPZ equation: an exact solution and its universality
Tomohiro Sasamoto, Herbert Spohn
We report on the first exact solution of the KPZ equation in one dimension, with an initial condition which physically corresponds to the motion of a macroscopically curved height…
The crossover regime for the weakly asymmetric simple exclusion process
Tomohiro Sasamoto, Herbert Spohn
We consider the asymmetric simple exclusion process in one dimension with weak asymmetry (WASEP) and 0-1 step initial condition. Our interest are the fluctuations of the time-integ…