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


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
Issue number6
StatePublished - Jun 2018
Externally publishedYes


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


Dive into the research topics of 'Introduction to tropical series and wave dynamic on them'. Together they form a unique fingerprint.

Cite this