Intrinsic isoperimetry of the giant component of supercritical bond percolation in dimension two
From MaRDI portal
Publication:1663874
DOI10.1214/18-EJP178zbMath1410.60093arXiv1611.00351OpenAlexW2963961322MaRDI QIDQ1663874
Publication date: 24 August 2018
Published in: Electronic Journal of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.00351
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Isoperimetric problems for polytopes (52B60)
Related Items
Isoperimetry in supercritical bond percolation in dimensions three and higher, Limit of the Wulff crystal when approaching criticality for isoperimetry in 2D percolation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Concentration estimates for the isoperimetric constant of the supercritical percolation cluster
- Anomalous heat-kernel decay for random walk among bounded random conductances
- \(\lambda_ 1\), isoperimetric inequalities for graphs, and superconcentrators
- The Wulff construction and asymptotics of the finite cluster distribution for two-dimensional Bernoulli percolation
- The probability of a large cluster in supercritical Bernoulli perlocation
- A note on percolation on \(\mathbb Z^d\): isoperimetric profile via exponential cluster repulsion
- Large deviations for the contact process and two dimensional percolation
- Eigenvalues and expanders
- The critical probability of bond percolation on the square lattice equals 1/2
- On the mixing time of a simple random walk on the super critical percolation cluster
- Equilibrium shapes of crystals attached to walls.
- The droplet in the tube: A case of phase transition in the canonical ensemble
- On the Wulff crystal in the Ising model.
- Isoperimetry and heat kernel decay on percolation clusters.
- The Wulff construction in three and more dimensions
- Continuity of the time and isoperimetric constants in supercritical percolation
- Maximal stream and minimal cutset for first passage percolation through a domain of \(\mathbb{R}^{d}\)
- The Wulff crystal in Ising and percolation models. École d'Été de Probabilités de Saint-Flour XXXIV -- 2004
- Sets of Finite Perimeter and Geometric Variational Problems
- 50 Years of First-Passage Percolation
- Isoperimetry in Two-Dimensional Percolation
- Explicit Concentrators from Generalized N-Gons
- Sur le nombre de points visités par une marche aléatoire sur un amas infini de percolation
- Crystalline variational problems
- Percolation
- Rigorous probabilistic analysis of equilibrium crystal shapes
- Connected components of sets of finite perimeter and applications to image processing
- Winterbottom construction for finite range ferromagnetic models: an \(\mathbb L_ 1\)-approach.
- Phase coexistence in Ising, Potts and percolation models