Widths of crossings in Poisson Boolean percolation
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866908341162213376 |
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| author | Manolescu, Ioan Santoro, Leonardo V. |
| author_facet | Manolescu, Ioan Santoro, Leonardo V. |
| contents | We answer the following question: if the occupied (or vacant) set of a planar Poisson Boolean percolation model does contain a crossing of an $n\times n$ square, how wide is this crossing? The answer depends on the whether we consider the critical, sub- or super-critical regime, and is different for the occupied and vacant sets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_11661 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Widths of crossings in Poisson Boolean percolation Manolescu, Ioan Santoro, Leonardo V. Probability 60K35, 60G55 We answer the following question: if the occupied (or vacant) set of a planar Poisson Boolean percolation model does contain a crossing of an $n\times n$ square, how wide is this crossing? The answer depends on the whether we consider the critical, sub- or super-critical regime, and is different for the occupied and vacant sets. |
| title | Widths of crossings in Poisson Boolean percolation |
| topic | Probability 60K35, 60G55 |
| url | https://arxiv.org/abs/2211.11661 |