457 citations · 3.8k across the 61 of their papers we have counts for
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A systematic way to find and construct exact finite dimensional matrix product stationary states
Yasuhiro Hieida, Tomohiro Sasamoto
We explain how to construct matrix product stationary states which are composed of finite-dimensional matrices. Our construction explained in this article was first presented in a…
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…
Growing interfaces uncover universal fluctuations behind scale invariance
Kazumasa A. Takeuchi, Masaki Sano, Tomohiro Sasamoto +1
Stochastic motion of a point -- known as Brownian motion -- has many successful applications in science, thanks to its scale invariance and consequent universal features such as Ga…
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…