Expected First Return Times for Random Walks on Bounded Grids
Fuente:
arXiv
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| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2025
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| Sujets: | |
| Accès en ligne: | |
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| _version_ | 1866918007241965568 |
|---|---|
| author | An, Nan |
| author_facet | An, Nan |
| contents | We derive a general formula for computing the expected first return time of a random walk on a finite graph. Using this framework, we calculate the expected first return time in various settings over bounded rectangular grids with different boundary conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_00641 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Expected First Return Times for Random Walks on Bounded Grids An, Nan Probability We derive a general formula for computing the expected first return time of a random walk on a finite graph. Using this framework, we calculate the expected first return time in various settings over bounded rectangular grids with different boundary conditions. |
| title | Expected First Return Times for Random Walks on Bounded Grids |
| topic | Probability |
| url | https://arxiv.org/abs/2505.00641 |