154 citations · 804 across the 25 of their papers we have counts for
10 papers · 1 filter
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…