6 citations · 18 across the 10 of their papers we have counts for
13 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…
Multiplicative Averages of Plancherel Random Partitions: Elliptic Functions, Phase Transitions, and Applications
Mattia Cafasso, Matteo Mucciconi, Giulio Ruzza
We consider random integer partitions that follow the Poissonized Plancherel measure of parameter . Using RiemannHilbert techniques, we establish the asymptotics of the…
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…
Lower tail large deviations of the stochastic six vertex model
Sayan Das, Yuchen Liao, Matteo Mucciconi
In this paper, we study lower tail probabilities of the height function of the stochastic six-vertex model. We introduce a novel combinatorial approach to demon…
The Symplectic Schur Process
Cesar Cuenca, Matteo Mucciconi
We define a measure on tuples of partitions, called the symplectic Schur process, that should be regarded as the right analogue of the Schur process of Okounkov-Reshetikhin for the…
Large deviations for the -deformed polynuclear growth
Sayan Das, Yuchen Liao, Matteo Mucciconi
In this paper, we study large time large deviations for the height function of the -deformed polynuclear growth introduced in ABW22 [arXiv:2108.06018]. We sh…
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…
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…
Spin q-Whittaker polynomials and deformed quantum Toda
Matteo Mucciconi, Leonid Petrov
Spin -Whittaker symmetric polynomials labeled by partitions were recently introduced by Borodin and Wheeler (arXiv:1701.06292) in the context of integrable …
Yang-Baxter random fields and stochastic vertex models
Alexey Bufetov, Matteo Mucciconi, Leonid Petrov
Bijectivization refines the Yang-Baxter equation into a pair of local Markov moves which randomly update the configuration of the vertex model. Employing this approach, we introduc…
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…