Soliton cellular automata associated with infinite reduced words

  • Max Glick

    Ohio State University, Columbus, USA
  • Rei Inoue

    Chiba University, Japan
  • Pavlo Pylyavskyy

    University of Minnesota, Minneapolis, USA
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Abstract

We consider a family of cellular automata associated with infinite reduced elements on the affine symmetric group , which is a tropicalization of the rational maps introduced in [3]. We study the soliton solutions for and explore a duality with the -box-ball system.

Cite this article

Max Glick, Rei Inoue, Pavlo Pylyavskyy, Soliton cellular automata associated with infinite reduced words. Ann. Inst. Henri Poincaré Comb. Phys. Interact. 7 (2020), no. 2, pp. 249–302

DOI 10.4171/AIHPD/86