Journal
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Volume 38, Issue 6, Pages 2827-2849Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcds.2018120
Keywords
Tropical geometry; tropical dynamics; wave operator; tropical series; Non-Archimedean dynamic; convex set
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Funding
- Young Russian Mathematics award
- Basic Research Program of the National Research University Higher School of Economics
- ISTFELLOW program
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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.
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