Inhomogeneous long-range percolation in the strong decay regime: recurrence in one dimension
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911986665652224 |
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| author | Mönch, Christian |
| author_facet | Mönch, Christian |
| contents | We provide a sufficient criterion for the recurrence of spatial random graphs on the real line based on the scarceness of long-edges. In particular, this complements earlier recurrence results obtained by Gracar et al. (Electron. J. Probab. 27 (2022)) and a transience criterion derived by the author (Probab. Theory Related Fields 189, no. 3-4 (2024)). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_06918 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Inhomogeneous long-range percolation in the strong decay regime: recurrence in one dimension Mönch, Christian Probability 05C80 (Primary), 60K35 (Secondary) We provide a sufficient criterion for the recurrence of spatial random graphs on the real line based on the scarceness of long-edges. In particular, this complements earlier recurrence results obtained by Gracar et al. (Electron. J. Probab. 27 (2022)) and a transience criterion derived by the author (Probab. Theory Related Fields 189, no. 3-4 (2024)). |
| title | Inhomogeneous long-range percolation in the strong decay regime: recurrence in one dimension |
| topic | Probability 05C80 (Primary), 60K35 (Secondary) |
| url | https://arxiv.org/abs/2408.06918 |