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Introduction to tropical series and wave dynamic on them. / Kalinin, Nikita; Shkolnikov, Mikhail.

In: Discrete and Continuous Dynamical Systems- Series A, Vol. 38, No. 6, 06.2018, p. 2827-2849.

Research output: Contribution to journal › Article › peer-review

Harvard

Kalinin, N & Shkolnikov, M 2018, 'Introduction to tropical series and wave dynamic on them', Discrete and Continuous Dynamical Systems- Series A, vol. 38, no. 6, pp. 2827-2849. https://doi.org/10.3934/dcds.2018120

APA

Kalinin, N., & Shkolnikov, M. (2018). Introduction to tropical series and wave dynamic on them. Discrete and Continuous Dynamical Systems- Series A, 38(6), 2827-2849. https://doi.org/10.3934/dcds.2018120

Vancouver

Kalinin N, Shkolnikov M. Introduction to tropical series and wave dynamic on them. Discrete and Continuous Dynamical Systems- Series A. 2018 Jun;38(6):2827-2849. https://doi.org/10.3934/dcds.2018120

Author

Kalinin, Nikita ; Shkolnikov, Mikhail. / Introduction to tropical series and wave dynamic on them. In: Discrete and Continuous Dynamical Systems- Series A. 2018 ; Vol. 38, No. 6. pp. 2827-2849.

BibTeX

@article{038c423c56c1425c8283d5960e0f3a5e,
title = "Introduction to tropical series and wave dynamic on them",
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.",
keywords = "Convex set, Non-Archimedean dynamic, Tropical dynamics, Tropical geometry, Tropical series, Wave operator",
author = "Nikita Kalinin and Mikhail Shkolnikov",
year = "2018",
month = jun,
doi = "10.3934/dcds.2018120",
language = "English",
volume = "38",
pages = "2827--2849",
journal = "Discrete and Continuous Dynamical Systems",
issn = "1078-0947",
publisher = "Southwest Missouri State University",
number = "6",

}

RIS

TY - JOUR

T1 - Introduction to tropical series and wave dynamic on them

AU - Kalinin, Nikita

AU - Shkolnikov, Mikhail

PY - 2018/6

Y1 - 2018/6

N2 - 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.

AB - 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.

KW - Convex set

KW - Non-Archimedean dynamic

KW - Tropical dynamics

KW - Tropical geometry

KW - Tropical series

KW - Wave operator

UR - http://www.scopus.com/inward/record.url?scp=85046395508&partnerID=8YFLogxK

U2 - 10.3934/dcds.2018120

DO - 10.3934/dcds.2018120

M3 - Article

AN - SCOPUS:85046395508

VL - 38

SP - 2827

EP - 2849

JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

SN - 1078-0947

IS - 6

ER -

ID: 49793527