Coupling Invasion and First Passage Percolation
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911266308620288 |
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| author | Morelli, Aldo |
| author_facet | Morelli, Aldo |
| contents | It is well known that a continuous phase transition in Bernoulli bond percolation on the integer lattice is equivalent to a vanishing probability a vertex is invaded in invasion percolation. We provide a coupling between invasion percolation and first passage percolation with log-uniform passage times. This yields a new equivalent condition for a continuous phase transition in bond percolation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_05618 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Coupling Invasion and First Passage Percolation Morelli, Aldo Probability 60K35, 82B43 It is well known that a continuous phase transition in Bernoulli bond percolation on the integer lattice is equivalent to a vanishing probability a vertex is invaded in invasion percolation. We provide a coupling between invasion percolation and first passage percolation with log-uniform passage times. This yields a new equivalent condition for a continuous phase transition in bond percolation. |
| title | Coupling Invasion and First Passage Percolation |
| topic | Probability 60K35, 82B43 |
| url | https://arxiv.org/abs/2511.05618 |