Introduction to tropical series and wave dynamic on them

Nikita Kalinin*, Mikhail Shkolnikov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

The theory of tropical series, that we develop here, firstly appeared in the study of the growth of pluriharmonic functions. Motivated by waves in sandpile models we introduce a dynamic on the set of tropical series, and it is experimentally observed that this dynamic obeys a power law. So, this paper serves as a compilation of results we need for other articles and also introduces several objects interesting by themselves.

Original languageEnglish
Pages (from-to)2827-2849
Number of pages23
JournalDiscrete and Continuous Dynamical Systems
Volume38
Issue number6
DOIs
StatePublished - Jun 2018
Externally publishedYes

Keywords

  • Convex set
  • Non-Archimedean dynamic
  • Tropical dynamics
  • Tropical geometry
  • Tropical series
  • Wave operator

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