457 citations · 3.8k across the 61 of their papers we have counts for
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Polynuclear growth model, GOE and random matrix with deterministic source
T. Imamura, T. Sasamoto
We present a random matrix interpretation of the distribution functions which have appeared in the study of the one-dimensional polynuclear growth (PNG) model with external sources…
Possibly Exact Solution for the Multicritical Point of Finite-Dimensional Spin Glasses
Hidetoshi Nishimori, Koujin Takeda, Tomohiro Sasamoto
After briefly describing the present status of the spin glass theory, we present a conjecture on the exact location of the multicritical point in the phase diagram of finite-dimens…
Fluctuations of the one-dimensional polynuclear growth model with external sources
T. Imamura, T. Sasamoto
The one-dimensional polynuclear growth model with external sources at edges is studied. The height fluctuation at the origin is known to be given by either the Gaussian, the GUE Tr…
Asymmetric Simple Exclusion Process and Modified Random Matrix Ensembles
Taro Nagao, Tomohiro Sasamoto
We study the fluctuation properties of the asymmetric simple exclusion process (ASEP) on an infinite one-dimensional lattice. When particles are initially situated in the negat…
Construction of a matrix product stationary state from solutions of finite size system
Yasuhiro Hieida, Tomohiro Sasamoto
Stationary states of stochastic models, which have states per site, in matrix product form are considered. First we give a necessary condition for the existence of a finite …