2017/06/11 by Nikita Kalinin, Kalinin, Nikita, Mikhail Shkolnikov +1 · 1 citation
Physics and Astronomy · Computer Science · Mathematics · #Nonlinear Waves and Solitons #Polynomial and algebraic computation #Algebraic Geometry and Number Theory
paper · doi:10.48550/arxiv.1706.03062
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.