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arXiv · 2203.11763

Relaxation in one-dimensional tropical sandpile

Mikhail Shkolnikov
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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.

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Mikhail Shkolnikov. 2023-09-23. Relaxation in one-dimensional tropical sandpile. https://doi.org/10.46298/cm.10483

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