Soliton cellular automata associated with infinite reduced words
Annales de l’Institut Henri Poincaré D, Tome 7 (2020) no. 2, pp. 249-302.
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We consider a family of cellular automata Φ(n,k) associated with infinite reduced elements on the affine symmetric group S ^ n , which is a tropicalization of the rational maps introduced in [3]. We study the soliton solutions for Φ(n,k) and explore a duality with the 𝔰𝔩 n -box-ball system.

Accepté le :
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DOI : 10.4171/aihpd/86
Classification : 14-XX, 00-XX
Mots-clés : Tropical solitons, affine symmetric group, box-ball system 
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     author = {Glick, Max and Inoue, Rei and Pylyavskyy, Pavlo},
     title = {Soliton cellular automata associated with infinite reduced words},
     journal = {Annales de l{\textquoteright}Institut Henri Poincar\'e D},
     pages = {249--302},
     volume = {7},
     number = {2},
     year = {2020},
     doi = {10.4171/aihpd/86},
     mrnumber = {4109835},
     zbl = {1451.14112},
     language = {en},
     url = {http://archive.numdam.org/articles/10.4171/aihpd/86/}
}
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Glick, Max; Inoue, Rei; Pylyavskyy, Pavlo. Soliton cellular automata associated with infinite reduced words. Annales de l’Institut Henri Poincaré D, Tome 7 (2020) no. 2, pp. 249-302. doi : 10.4171/aihpd/86. http://archive.numdam.org/articles/10.4171/aihpd/86/

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