154 citations · 804 across the 25 of their papers we have counts for
25 papers
Skew column RSK dynamics and the box-ball system
Takashi Imamura, Matteo Mucciconi, Tomohiro Sasamoto +1
The Fomin local rules for Schensted column insertion can be seen as a two-lane box-ball system, in which a carrier moves particles forward or laterally. Running such two-lane dynam…
Solvable models in the KPZ class: approach through periodic and free boundary Schur measures
Takashi Imamura, Matteo Mucciconi, Tomohiro Sasamoto
We explore probabilistic consequences of correspondences between -Whittaker measures and periodic and free boundary Schur measures established by the authors in the recent paper…
Skew RSK dynamics: Greene invariants, affine crystals and applications to -Whittaker polynomials
Takashi Imamura, Matteo Mucciconi, Tomohiro Sasamoto
Iterating the skew RSK correspondence discovered by Sagan and Stanley in the late '80s, we define a deterministic dynamics on the space of pairs of skew Young tableaux . We…
Identity between Restricted Cauchy Sums for the -Whittaker and Skew Schur Polynomials
Takashi Imamura, Matteo Mucciconi, Tomohiro Sasamoto
The Cauchy identities play an important role in the theory of symmetric functions. It is known that Cauchy sums for the -Whittaker and the skew Schur polynomials produce the sam…
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…