6 citations · 18 across the 10 of their papers we have counts for
5 papers · 1 filter
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…
Orthogonality of spin -Whittaker polynomials
Matteo Mucciconi
The inhomogeneous spin -Whittaker polynomials are a family of symmetric polynomials which generalize the Macdonald polynomials at . In this paper we prove that they are ort…
Relationships between two linearizations of the box-ball system : Kerov-Kirillov-Reshetikhin bijection and slot configuration
Matteo Mucciconi, Makiko Sasada, Tomohiro Sasamoto +1
The box-ball system (BBS), which was introduced by Takahashi and Satsuma in 1990, is a soliton cellular automaton. Its dynamics can be linearized by a few methods, among which the…
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…