The hockey-stick conjecture for activated random walk
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914415038693376 |
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| author | Hoffman, Christopher Johnson, Tobias Junge, Matthew |
| author_facet | Hoffman, Christopher Johnson, Tobias Junge, Matthew |
| contents | We prove a conjecture of Levine and Silvestri that the driven-dissipative activated random walk model on an interval drives itself directly to and then sustains a critical density. This marks the first rigorous confirmation of a sandpile model behaving as in Bak, Tang, and Wiesenfeld's original vision of self-organized criticality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_02541 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The hockey-stick conjecture for activated random walk Hoffman, Christopher Johnson, Tobias Junge, Matthew Probability Statistical Mechanics 60K35, 82C22 We prove a conjecture of Levine and Silvestri that the driven-dissipative activated random walk model on an interval drives itself directly to and then sustains a critical density. This marks the first rigorous confirmation of a sandpile model behaving as in Bak, Tang, and Wiesenfeld's original vision of self-organized criticality. |
| title | The hockey-stick conjecture for activated random walk |
| topic | Probability Statistical Mechanics 60K35, 82C22 |
| url | https://arxiv.org/abs/2411.02541 |