The time constant for Bernoulli percolation is Lipschitz continuous strictly above \(p_c\)
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Publication:2085539
DOI10.1214/22-AOP1565MaRDI QIDQ2085539
Publication date: 18 October 2022
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.11858
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)
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Cites Work
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- Weak shape theorem in first passage percolation with infinite passage times
- The probability of a large cluster in supercritical Bernoulli perlocation
- Some limit theorems for percolation processes with necessary and sufficient conditions
- Continuity of the time and isoperimetric constants in supercritical percolation
- On the chemical distance for supercritical Bernoulli percolation
- Moderate deviations for the chemical distance in Bernoulli percolation
- 50 Years of First-Passage Percolation
- Superlinearity of Geodesic Length in 2D Critical First-Passage Percolation
- The time constant of first-passage percolation on the square lattice
- On the continuity of the time constant of first-passage percolation
- Percolation
- Asymptotic shape for the chemical distance and first-passage percolation on the infinite Bernoulli cluster
- Boundary-connectivity via graph theory
- Regularity of the time constant for a supercritical Bernoulli percolation