Relaxation in one-dimensional tropical sandpile
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913231823437824 |
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| author | Shkolnikov, Mikhail |
| author_facet | Shkolnikov, Mikhail |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_11763 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Relaxation in one-dimensional tropical sandpile Shkolnikov, Mikhail Combinatorics Adaptation and Self-Organizing Systems 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. |
| title | Relaxation in one-dimensional tropical sandpile |
| topic | Combinatorics Adaptation and Self-Organizing Systems |
| url | https://arxiv.org/abs/2203.11763 |