2020年
Soliton cellular automata associated with infinite reduced words
Annales de L'Institut Henri Poincare D
- ,
- ,
- 巻
- 2
- 号
- 開始ページ
- 249
- 終了ページ
- 302
- 記述言語
- 英語
- 掲載種別
- 研究論文（学術雑誌）
We consider a family of cellular automata $\Phi(n,k)$ associated with<br />
infinite reduced elements on the affine symmetric group $\hat S_n$, which is a<br />
tropicalization of the rational maps introduced by two of the authors. We study<br />
the soliton solutions for $\Phi(n,k)$ and explore a `duality' with the<br />
$\mathfrak{sl}_n$-box-ball system.
infinite reduced elements on the affine symmetric group $\hat S_n$, which is a<br />
tropicalization of the rational maps introduced by two of the authors. We study<br />
the soliton solutions for $\Phi(n,k)$ and explore a `duality' with the<br />
$\mathfrak{sl}_n$-box-ball system.
- ID情報
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- arXiv ID : arXiv:1712.08989