457 citations · 3.8k across the 61 of their papers we have counts for
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Limiting current distribution for a two species asymmetric exclusion process
Zeying Chen, Jan de Gier, Iori Hiki +2
We study current fluctuations of a two-species asymmetric exclusion process, known as the Arndt-Heinzel-Rittenberg model. For a step-Bernoulli initial condition with finite number…
Stationary Higher Spin Six Vertex Model and -Whittaker measure
Takashi Imamura, Matteo Mucciconi, Tomohiro Sasamoto
In this paper we consider the Higher Spin Six Vertex Model on the lattice . We first identify a family of translation invariant meas…
Distribution of a tagged particle position in the one-dimensional symmetric simple exclusion process with two-sided Bernoulli initial condition
Takashi Imamura, Kirone Mallick, Tomohiro Sasamoto
For the two-sided Bernoulli initial condition with density (resp. ) to the left (resp. to the right), we study the distribution of a tagged particle in the one dimension…
On the -TASEP with a random initial condition
Takashi Imamura, Tomohiro Sasamoto
When studying fluctuations of models in the 1D KPZ class including the ASEP and the -TASEP, a standard approach has been to first write down a formula for -deformed moments a…
Free energy distribution of the stationary O'Connell-Yor directed random polymer model
Takashi Imamura, Tomohiro Sasamoto
We study the semi-discrete directed polymer model introduced by O'Connell-Yor in its stationary regime, based on our previous work on the stationary -totally asymmetric simple e…
Fluctuations for stationary -TASEP
Takashi Imamura, Tomohiro Sasamoto
We consider the -totally asymmetric simple exclusion process (-TASEP) in the stationary regime and study the fluctuation of the position of a particle. We first observe that…
Determinantal structures in the O'Connell-Yor directed random polymer model
Takashi Imamura, Tomohiro Sasamoto
We study the semi-discrete directed random polymer model introduced by O'Connell and Yor. We obtain a representation for the moment generating function of the polymer partition fun…
Point-interacting Brownian motions in the KPZ universality class
Tomohiro Sasamoto, Herbert Spohn
We discuss chains of interacting Brownian motions. Their time reversal invariance is broken because of asymmetry in the interaction strength between left and right neighbor. In the…
Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz
Alexei Borodin, Ivan Corwin, Leonid Petrov +1
We develop spectral theory for the q-Hahn stochastic particle system introduced recently by Povolotsky. That is, we establish a Plancherel type isomorphism result which implies com…
Spectral theory for the q-Boson particle system
Alexei Borodin, Ivan Corwin, Leonid Petrov +1
We develop spectral theory for the generator of the q-Boson (stochastic) particle system. Our central result is a Plancherel type isomorphism theorem for this system. This theorem…
Superdiffusivity of the 1D lattice Kardar-Parisi-Zhang equation
Tomohiro Sasamoto, Herbert Spohn
The continuum Kardar-Parisi-Zhang equation in one dimension is lattice discretized in such a way that the drift part is divergence free. This allows to determine explicitly the sta…
Two speed TASEP
Alexei Borodin, Patrik L. Ferrari, Tomohiro Sasamoto
We consider the TASEP on Z with two blocks of particles having different jump rates. We study the large time behavior of particles' positions. It depends both on the jump rates and…
Correlation function of the Schur process with a fixed final partition
T. Imamura, T. Sasamoto
We consider a generalization of the Schur process in which a partition evolves from the empty partition into an arbitrary fixed final partition. We obtain a double integral represe…
Large time asymptotics of growth models on space-like paths II: PNG and parallel TASEP
Alexei Borodin, Patrik L. Ferrari, Tomohiro Sasamoto
We consider the polynuclear growth (PNG) model in 1+1 dimension with flat initial condition and no extra constraints. The joint distributions of surface height at finitely many poi…
Transition between Airy_1 and Airy_2 processes and TASEP fluctuations
Alexei Borodin, Patrik L. Ferrari, Tomohiro Sasamoto
We consider the totally asymmetric simple exclusion process, a model in the KPZ universality class. We focus on the fluctuations of particle positions starting with certain determi…
Dynamics of a tagged particle in the asymmetric exclusion process with the step initial condition
T. Imamura, T. Sasamoto
The one-dimensional totally asymmetric simple exclusion process (TASEP) is considered. We study the time evolution property of a tagged particle in TASEP with the step-type initial…
Fluctuation properties of the TASEP with periodic initial configuration
Alexei Borodin, Patrik L. Ferrari, Michael Prähofer +1
We consider the joint distributions of particle positions for the continuous time totally asymmetric simple exclusion process (TASEP). They are expressed as Fredholm determinants w…
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…
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…