Mean-field limit for activated random walk on the integer lattice
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866912585396256768 |
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| author | Junge, Matthew Kaufman, Harley Meisel, Josh |
| author_facet | Junge, Matthew Kaufman, Harley Meisel, Josh |
| contents | We show that the critical density for activated random walk on $\mathbb{Z}^d$ approaches the sleep probability as $d \to \infty$ and provide the first-order correction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_10616 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Mean-field limit for activated random walk on the integer lattice Junge, Matthew Kaufman, Harley Meisel, Josh Probability 60K35 We show that the critical density for activated random walk on $\mathbb{Z}^d$ approaches the sleep probability as $d \to \infty$ and provide the first-order correction. |
| title | Mean-field limit for activated random walk on the integer lattice |
| topic | Probability 60K35 |
| url | https://arxiv.org/abs/2509.10616 |