7 papers
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 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…
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…
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 th…
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…
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…