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