Existence of an unbounded vacant set for subcritical continuum percolation
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Publication:1990030
DOI10.1214/18-ECP152zbMath1401.60173arXiv1706.03053OpenAlexW2625130939MaRDI QIDQ1990030
Vincent Tassion, Daniel Ahlberg, Augusto Q. Teixeira
Publication date: 24 October 2018
Published in: Electronic Communications in Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.03053
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
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Cites Work
- Subcritical regimes in the Poisson Boolean model of continuum percolation
- On continuum percolation
- The critical probability of bond percolation on the square lattice equals 1/2
- Domination by product measures
- Sharpness of the phase transition for continuum percolation in \(\mathbb{R}^2\)
- Non-triviality of the vacancy phase transition for the Boolean model
- The critical probability for random Voronoi percolation in the plane is 1/2
- The Russo-Seymour-Welsh theorem and the equality of critical densities and the ``dual critical densities for continuum percolation on \({\mathbb{R}}^ 2\)
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