Cutoff for activated random walk
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917906561892352 |
|---|---|
| author | Hoffman, Christopher Johnson, Tobias Junge, Matthew Meisel, Josh |
| author_facet | Hoffman, Christopher Johnson, Tobias Junge, Matthew Meisel, Josh |
| contents | We prove that the mixing time of driven-dissipative activated random walk on an interval of length $n$ with uniform or central driving exhibits cutoff at $n$ times the critical density for activated random walk on the integers. The proof uses a new result for arbitrary graphs showing that the chain is mixed once activity is likely at every site. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_17938 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cutoff for activated random walk Hoffman, Christopher Johnson, Tobias Junge, Matthew Meisel, Josh Probability Statistical Mechanics 60K35, 82C22, 37A25, 60J10 We prove that the mixing time of driven-dissipative activated random walk on an interval of length $n$ with uniform or central driving exhibits cutoff at $n$ times the critical density for activated random walk on the integers. The proof uses a new result for arbitrary graphs showing that the chain is mixed once activity is likely at every site. |
| title | Cutoff for activated random walk |
| topic | Probability Statistical Mechanics 60K35, 82C22, 37A25, 60J10 |
| url | https://arxiv.org/abs/2501.17938 |