Graph distance and effective resistance of the four-dimensional random walk trace
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866911456893599744 |
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| author | Shiraishi, Daisuke Watanabe, Satomi |
| author_facet | Shiraishi, Daisuke Watanabe, Satomi |
| contents | Refining previous results, we establish a sharp asymptotic estimate on the expected graph distance between the origin and the terminal point of the trace of the first $n$ steps of the walk. A similar conclusion is drawn for the resistance metric. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_17076 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Graph distance and effective resistance of the four-dimensional random walk trace Shiraishi, Daisuke Watanabe, Satomi Probability 60G50, 82B41 Refining previous results, we establish a sharp asymptotic estimate on the expected graph distance between the origin and the terminal point of the trace of the first $n$ steps of the walk. A similar conclusion is drawn for the resistance metric. |
| title | Graph distance and effective resistance of the four-dimensional random walk trace |
| topic | Probability 60G50, 82B41 |
| url | https://arxiv.org/abs/2602.17076 |