Expansion of the Critical Intensity for the Random Connection Model
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866913718083780608 |
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| author | Dickson, Matthew Heydenreich, Markus |
| author_facet | Dickson, Matthew Heydenreich, Markus |
| contents | We derive an asymptotic expansion for the critical percolation density of the random connection model as the dimension of the encapsulating space tends to infinity. We calculate rigorously the first expansion terms for the Gilbert disk model, the hyper-cubic model, the Gaussian connection kernel, and a coordinate-wise Cauchy kernel. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_08830 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Expansion of the Critical Intensity for the Random Connection Model Dickson, Matthew Heydenreich, Markus Probability 60K35, 82B43, 60G55 We derive an asymptotic expansion for the critical percolation density of the random connection model as the dimension of the encapsulating space tends to infinity. We calculate rigorously the first expansion terms for the Gilbert disk model, the hyper-cubic model, the Gaussian connection kernel, and a coordinate-wise Cauchy kernel. |
| title | Expansion of the Critical Intensity for the Random Connection Model |
| topic | Probability 60K35, 82B43, 60G55 |
| url | https://arxiv.org/abs/2309.08830 |