Algebraic Limits of Sandpiles
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866914016785334272 |
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| author | Shkolnikov, Mikhail |
| author_facet | Shkolnikov, Mikhail |
| contents | The paper contributes to building algebraic foundations of self-organized criticality answering a previously unsolved question about the limiting structure of the extended sandpile group as well as relating it to another limit at the level of classical sandpile groups with respect to certain monomorphisms, and puts forward a concept of canonical sandpile epimorphisms, drawing an unexpected consequence about the divisibility properties of the numbers of spanning trees on rectangles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_09912 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Algebraic Limits of Sandpiles Shkolnikov, Mikhail Mathematical Physics Combinatorics Group Theory 82B30, 55Nxx, 18Gxx The paper contributes to building algebraic foundations of self-organized criticality answering a previously unsolved question about the limiting structure of the extended sandpile group as well as relating it to another limit at the level of classical sandpile groups with respect to certain monomorphisms, and puts forward a concept of canonical sandpile epimorphisms, drawing an unexpected consequence about the divisibility properties of the numbers of spanning trees on rectangles. |
| title | Algebraic Limits of Sandpiles |
| topic | Mathematical Physics Combinatorics Group Theory 82B30, 55Nxx, 18Gxx |
| url | https://arxiv.org/abs/2506.09912 |