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 and speed are conserved after collision with other solitons. We introduce a slot decomposition of ball configurations, each component being an infinite vector describing the number of size k solitons in each k-slot. The dynamics of the components is linear: the k-th component moves rigidly at speed k. Let ζ be a translation invariant family of independent random vectors under a summability condition and η the ball configuration with components ζ. We show that the law of η is translation invariant and invariant for the BBS. This recipe allows us to construct a big family of i...
We construct a bijection between the state of the box-ball system with box capacity L and a pair of ...
Dynamics of a chain of interacting parity-time-invariant nonlinear dimers is investigated. A dimer i...
We study the relationship between the algorithm underlying the Robinson-Schensted-Knuth corresponden...
The Box-Ball System (BBS) is a one-dimensional cellular automaton in the configuration space { 0 , 1...
A box-ball system (BBS) is a discrete dynamical system consisting of n balls in an infinite strip of...
Box-ball system (BBS) is a discrete dynamical system which is expressed by movement of some kinds of...
We deduce a generalized hydrodynamic limit for the box–ball system, which explains how the densities...
The box-ball system (BBS) is a cellular automaton that is an ultradiscrete analogue of the Korteweg-...
In this paper, we introduce the ghost-box-ball system, which is an extended version of the classical...
A box-ball system is a discrete dynamical system whose dynamics come from the balls jumping accordin...
International audienceBox-ball system (BBS) is a prominent example of integrable cellular automata i...
International audienceBox-ball system (BBS) is a prominent example of integrable cellular automata i...
International audienceWe introduce the complete box-ball system (cBBS), which is an integrable cellu...
International audienceWe introduce the complete box-ball system (cBBS), which is an integrable cellu...
International audienceWe introduce the complete box-ball system (cBBS), which is an integrable cellu...
We construct a bijection between the state of the box-ball system with box capacity L and a pair of ...
Dynamics of a chain of interacting parity-time-invariant nonlinear dimers is investigated. A dimer i...
We study the relationship between the algorithm underlying the Robinson-Schensted-Knuth corresponden...
The Box-Ball System (BBS) is a one-dimensional cellular automaton in the configuration space { 0 , 1...
A box-ball system (BBS) is a discrete dynamical system consisting of n balls in an infinite strip of...
Box-ball system (BBS) is a discrete dynamical system which is expressed by movement of some kinds of...
We deduce a generalized hydrodynamic limit for the box–ball system, which explains how the densities...
The box-ball system (BBS) is a cellular automaton that is an ultradiscrete analogue of the Korteweg-...
In this paper, we introduce the ghost-box-ball system, which is an extended version of the classical...
A box-ball system is a discrete dynamical system whose dynamics come from the balls jumping accordin...
International audienceBox-ball system (BBS) is a prominent example of integrable cellular automata i...
International audienceBox-ball system (BBS) is a prominent example of integrable cellular automata i...
International audienceWe introduce the complete box-ball system (cBBS), which is an integrable cellu...
International audienceWe introduce the complete box-ball system (cBBS), which is an integrable cellu...
International audienceWe introduce the complete box-ball system (cBBS), which is an integrable cellu...
We construct a bijection between the state of the box-ball system with box capacity L and a pair of ...
Dynamics of a chain of interacting parity-time-invariant nonlinear dimers is investigated. A dimer i...
We study the relationship between the algorithm underlying the Robinson-Schensted-Knuth corresponden...