154 citations · 804 across the 25 of their papers we have counts for
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Large deviations of a tracer in the symmetric exclusion process
T. Imamura, K. Mallick, T. Sasamoto
The one-dimensional symmetric exclusion process, the simplest interacting particle process, is a lattice-gas made of particles that hop symmetrically on a discrete line respecting…
On the equal time two-point distribution of the one-dimensional KPZ equation by replica
T. Imamura, T. Sasamoto, H. Spohn
In a recent contribution, Dotsenko establishes a Fredholm determinant formula for the two-point distribution of the KPZ equation in the long time limit and starting from narrow wed…
Stationary correlations for the 1D KPZ equation
Takashi Imamura, Tomohiro Sasamoto
We study exact stationary properties of the one-dimensional Kardar-Parisi-Zhang (KPZ) equation by using the replica approach. The stationary state for the KPZ equation is realized…
Exact solution for the stationary Kardar-Parisi-Zhang equation
Takashi Imamura, Tomohiro Sasamoto
We obtain the first exact solution for the stationary one-dimensional Kardar-Parisi-Zhang equation. A formula for the distribution of the height is given in terms of a Fredholm det…
Replica approach to the KPZ equation with half Brownian motion initial condition
Takashi Imamura, Tomohiro Sasamoto
We consider the one-dimensional Kardar-Parisi-Zhang (KPZ) equation with half Brownian motion initial condition, studied previously through the weakly asymmetric simple exclusion pr…
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…
Fluctuations of a one-dimensional polynuclear growth model in a half space
T. Sasamoto, T. Imamura
We consider the multi-point equal time height fluctuations of a one-dimensional polynuclear growth model in a half space. For special values of the nucleation rate at the origin, t…
Vicious Walkers and Hook Young Tableaux
Kazuhiro Hikami, Takashi Imamura
We consider a generalization of the vicious walker model. Using a bijection map between the path configuration of the non-intersecting random walkers and the hook Young diagram, we…