On solutions to evolution equations defined by lattice operators

Takatoshi Ikegami, Daisuke Takahashi*, Junta Matsukidaira

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


We discuss a specific form of evolution equations defined by lattice operators. We give exact solutions for a class of those equations and evaluate the complexity f the solutions. Moreover we discuss the relationship between them and binary cellular automata, and analyze their asymptotic behavior utilizing the explicit expression of the solution.

Original languageEnglish
Pages (from-to)211-230
Number of pages20
JournalJapan Journal of Industrial and Applied Mathematics
Issue number1
Publication statusPublished - 2014 Feb


  • Cellular automaton
  • Integrable system
  • Lattice operator
  • Max-plus algebra
  • Ultradiscretization

ASJC Scopus subject areas

  • Engineering(all)
  • Applied Mathematics


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