Sharpness of the phase transition for continuum percolation in \(\mathbb{R}^2\)
From MaRDI portal
Publication:1626611
DOI10.1007/s00440-017-0815-8zbMath1404.60143arXiv1605.05926OpenAlexW2962908106MaRDI QIDQ1626611
Vincent Tassion, Daniel Ahlberg, Augusto Q. Teixeira
Publication date: 21 November 2018
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.05926
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)
Related Items (27)
Percolation of the excursion sets of planar symmetric shot noise fields ⋮ How can a clairvoyant particle escape the exclusion process? ⋮ Annealed scaling relations for Voronoi percolation ⋮ SINR percolation for Cox point processes with random powers ⋮ The critical threshold for Bargmann-Fock percolation ⋮ Ellipses percolation ⋮ Testing goodness of fit for point processes via topological data analysis ⋮ Crossing probabilities for planar percolation ⋮ On the first and second largest components in the percolated random geometric graph ⋮ Phase transitions and noise sensitivity on the Poisson space via stopping sets and decision trees ⋮ Mean-field bounds for Poisson-Boolean percolation ⋮ Asymptotics for the critical level and a strong invariance principle for high intensity shot noise fields ⋮ Subcritical phase of \(d\)-dimensional Poisson-Boolean percolation and its vacant set ⋮ Percolative properties of Brownian interlacements and its vacant set ⋮ Existence of an unbounded vacant set for subcritical continuum percolation ⋮ Disagreement percolation for Gibbs ball models ⋮ Talagrand's inequality in planar Gaussian field percolation ⋮ Gilbert's disc model with geostatistical marking ⋮ Phase transitions and percolation at criticality in enhanced random connection models ⋮ Criticality and covered area fraction in confetti and Voronoi percolation ⋮ On the rate of convergence in quenched Voronoi percolation ⋮ Phase transitions for the Boolean model of continuum percolation for Cox point processes ⋮ Equivalence of some subcritical properties in continuum percolation ⋮ Random walks on dynamical random environments with nonuniform mixing ⋮ Sharp threshold for two-dimensional majority dynamics percolation ⋮ Constrained-degree percolation in random environment ⋮ Quasi-independence for nodal lines
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Crossing probabilities for Voronoi percolation
- Noise sensitivity in continuum percolation
- Continuity of the phase transition for planar random-cluster and Potts models with \({1 \leq q \leq 4}\)
- The self-dual point of the two-dimensional random-cluster model is critical for \(q \geqslant 1\)
- On a sharp transition from area law to perimeter law in a system of random surfaces
- Quenched Voronoi percolation
- Subcritical regimes in the Poisson Boolean model of continuum percolation
- On continuum percolation
- Threshold functions
- The critical probability of bond percolation on the square lattice equals 1/2
- Exceptional planes of percolation
- Uniqueness of unbounded occupied and vacant components in Boolean models
- On Russo's approximate zero-one law
- Scaling limits of loop-erased random walks and uniform spanning trees
- The RSW theorem for continuum percolation and the CLT for Euclidean minimal spanning trees
- Nonuniversality and continuity of the critical covered volume fraction in continuum percolation
- Percolation in the vacant set of Poisson cylinders
- Existence of an unbounded vacant set for subcritical continuum percolation
- On scaling limits and Brownian interlacements
- Percolation of Poisson sticks on the plane
- 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 \({\mathbb{R}}^ 2\)
- Critical percolation in the plane: conformal invariance, Cardy's formula, scaling limits
- A Harris-Kesten theorem for confetti percolation
- Percolation
- The Coincidence of Critical Points in Poisson Percolation Models
- Random Plane Networks
- On the critical percolation probabilities
- An approximate zero-one law
- A note on percolation
- Percolation Probabilities on the Square Lattice
- Percolation
- Continuum Percolation
- Analysis of Boolean Functions
- Noise Sensitivity of Boolean Functions and Percolation
- Percolation in a multiscale Boolean model
This page was built for publication: Sharpness of the phase transition for continuum percolation in \(\mathbb{R}^2\)
