[ΒΙΒΛΙΟ][B] Dynamics of the box-ball system with random initial conditions via Pitman's transformation
The box-ball system (BBS), introduced by Takahashi and Satsuma in 1990, is a cellular
automaton that exhibits solitonic behaviour. In this article, we study the BBS when started …
automaton that exhibits solitonic behaviour. In this article, we study the BBS when started …
Generalized hydrodynamics in box-ball system
Box-ball system (BBS) is a prominent example of integrable cellular automata in one
dimension connected to quantum groups, Bethe ansatz, ultradiscretization, tropical …
dimension connected to quantum groups, Bethe ansatz, ultradiscretization, tropical …
Generalized hydrodynamic limit for the box–ball system
We deduce a generalized hydrodynamic limit for the box–ball system, which explains how
the densities of solitons of different sizes evolve asymptotically under Euler space-time …
the densities of solitons of different sizes evolve asymptotically under Euler space-time …
Soliton decomposition of the box-ball system
The box-ball system (BBS) was introduced by Takahashi and Satsuma as a discrete
counterpart of the Korteweg-de Vries equation. Both systems exhibit solitons whose shape …
counterpart of the Korteweg-de Vries equation. Both systems exhibit solitons whose shape …
Seat number configuration of the box-ball system, and its relation to the 10-elimination and invariant measures
H Suda - arxiv preprint arxiv:2312.15358, 2023 - arxiv.org
The box-ball system (BBS) is a soliton cellular automaton introduced by [TS], and it is known
that the dynamics of the BBS can be linearized by several methods. Recently, a new …
that the dynamics of the BBS can be linearized by several methods. Recently, a new …
BBS invariant measures with independent soliton components
PA Ferrari, D Gabrielli - 2020 - projecteuclid.org
Abstract The Box-Ball System (BBS) is a one-dimensional cellular automaton in the
configuration space {0,1\}^Z introduced by Takahashi and Satsuma 8, who identified …
configuration space {0,1\}^Z introduced by Takahashi and Satsuma 8, who identified …
Dynamics of the box-ball system with random initial conditions via Pitman's transformation
The box-ball system (BBS), introduced by Takahashi and Satsuma in 1990, is a cellular
automaton that exhibits solitonic behaviour. In this article, we study the BBS when started …
automaton that exhibits solitonic behaviour. In this article, we study the BBS when started …
Scaling limit of soliton lengths in a multicolor box-ball system
The box-ball systems are integrable cellular automata whose long-time behavior is
characterized by soliton solutions, with rich connections to other integrable systems such as …
characterized by soliton solutions, with rich connections to other integrable systems such as …
[HTML][HTML] Randomized box–ball systems, limit shape of rigged configurations and thermodynamic Bethe ansatz
We introduce a probability distribution on the set of states in a generalized box–ball system
associated with Kirillov–Reshetikhin (KR) crystals of type A n (1). Their conserved quantities …
associated with Kirillov–Reshetikhin (KR) crystals of type A n (1). Their conserved quantities …
Invariant measures for the box-ball system based on stationary Markov chains and periodic Gibbs measures
The box-ball system (BBS) is a simple model of soliton interaction introduced by Takahashi
and Satsuma in the 1990s. Recent work of the authors, together with Tsuyoshi Kato and …
and Satsuma in the 1990s. Recent work of the authors, together with Tsuyoshi Kato and …