Mikhail Shkolnikov - Relaxation in one-dimensional tropical sandpile

cm:10483 - Communications in Mathematics, September 26, 2023, Volume 31 (2023), Issue 3 (Special issue: in memory of Sergei Duzhin) - https://doi.org/10.46298/cm.10483
Relaxation in one-dimensional tropical sandpileArticle

Authors: Mikhail Shkolnikov

A relaxation in the tropical sandpile model is a process of deforming a tropical hypersurface towards a finite collection of points. We show that, in the one-dimensional case, a relaxation terminates after a finite number of steps. We present experimental evidence suggesting that the number of such steps obeys a power law.

https://doi.org/10.46298/cm.10483
Source: arXiv.org:2203.11763
Volume: Volume 31 (2023), Issue 3 (Special issue: in memory of Sergei Duzhin)
Published on: September 26, 2023
Accepted on: September 9, 2023
Submitted on: December 14, 2022
Keywords: Mathematics - Combinatorics, Nonlinear Sciences - Adaptation and Self-Organizing Systems
Licence: Attribution 4.0 International (CC BY 4.0)

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