Limit of the Wulff crystal when approaching criticality for isoperimetry in 2D percolation
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Publication:6177512
DOI10.1214/23-ejp1061arXiv2303.04401OpenAlexW4389377989MaRDI QIDQ6177512
Publication date: 17 January 2024
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2303.04401
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)
Cites Work
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- Planar percolation with a glimpse of Schramm-Loewner evolution
- Lower large deviations and laws of large numbers for maximal flows through a box in first passage percolation
- Limit of the Wulff crystal when approaching criticality for site percolation on the triangular lattic
- Two-dimensional critical percolation: the full scaling limit
- Law of large numbers for the maximal flow through tilted cylinders in two-dimensional first passage percolation
- A note on percolation on \(\mathbb Z^d\): isoperimetric profile via exponential cluster repulsion
- Near-critical percolation in two dimensions
- Critical exponents for two-dimensional percolation
- Isoperimetry in supercritical bond percolation in dimensions three and higher
- Intrinsic isoperimetry of the giant component of supercritical bond percolation in dimension two
- The scaling limits of near-critical and dynamical percolation
- Anchored isoperimetric profile of the infinite cluster in supercritical bond percolation is Lipschitz continuous
- Vanishing of the anchored isoperimetric profile in bond percolation at \(p_c\)
- Large deviations for the chemical distance in supercritical Bernoulli percolation
- Continuity of the time and isoperimetric constants in supercritical percolation
- On the chemical distance for supercritical Bernoulli percolation
- Critical percolation exploration path and \(\mathrm{SLE}_{6}\): a proof of convergence
- 50 Years of First-Passage Percolation
- Isoperimetry in Two-Dimensional Percolation
- Percolation
- On the continuity of the time constant of first-passage percolation
- Existence of the anchored isoperimetric profile in supercritical bond percolation in dimension two and higher
- Euclidean vs. Graph Metric