A reduction of the $θ(p_c) = 0$ problem to a conjectured inequality
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913205179121664 |
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| author | Kozma, Gady Nitzan, Shahaf |
| author_facet | Kozma, Gady Nitzan, Shahaf |
| contents | We conjecture a new correlation-like inequality for percolation probabilities and support our conjecture with numerical evidence and a few special cases which we prove. This inequality, if true, implies that there is no percolation at criticality on the Euclidean lattice, for any dimension bigger than one. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_12397 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A reduction of the $θ(p_c) = 0$ problem to a conjectured inequality Kozma, Gady Nitzan, Shahaf Probability We conjecture a new correlation-like inequality for percolation probabilities and support our conjecture with numerical evidence and a few special cases which we prove. This inequality, if true, implies that there is no percolation at criticality on the Euclidean lattice, for any dimension bigger than one. |
| title | A reduction of the $θ(p_c) = 0$ problem to a conjectured inequality |
| topic | Probability |
| url | https://arxiv.org/abs/2401.12397 |