Relaxation in one-dimensional tropical sandpile
Combinatorics
2024-02-14 v5 Adaptation and Self-Organizing Systems
Abstract
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.
Cite
@article{arxiv.2203.11763,
title = {Relaxation in one-dimensional tropical sandpile},
author = {Mikhail Shkolnikov},
journal= {arXiv preprint arXiv:2203.11763},
year = {2024}
}