Percolation and local isoperimetric inequalities
From MaRDI portal
Publication:737324
DOI10.1007/s00440-015-0653-5zbMath1352.60131arXiv1409.5923OpenAlexW1907746658MaRDI QIDQ737324
Publication date: 10 August 2016
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.5923
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)
Related Items (6)
Effects of ramification and connectivity degree on site percolation threshold on regular lattices and fractal networks ⋮ Percolation and isoperimetry on roughly transitive graphs ⋮ Existence of phase transition for percolation using the Gaussian free field ⋮ Transience and anchored isoperimetric dimension of supercritical percolation clusters ⋮ Gap at 1 for the percolation threshold of Cayley graphs ⋮ Multi-scale Lipschitz percolation of increasing events for Poisson random walks
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Infinite graphs with a nontrivial Bond percolation threshold: some sufficient conditions
- On the size of a finite vacant cluster of random interlacements with small intensity
- Rough isometries, and combinatorial approximations of geometries of non- compact Riemannian manifolds
- Uniqueness and non-uniqueness in percolation theory
- A note on percolation on \(\mathbb Z^d\): isoperimetric profile via exponential cluster repulsion
- Infinite paths that contain only shortest paths
- Density and uniqueness in percolation
- Group-invariant percolation on graphs
- Percolation beyond \(\mathbb{Z}^ d\), many questions and a few answers
- Critical percolation on any nonamenable group has no infinite clusters
- Isoperimetric problems for convex bodies and a localization lemma
- Percolation in the vacant set of Poisson cylinders
- Percolation on infinite graphs and isoperimetric inequalities
- Percolation, perimetry, planarity
- Probability on Trees and Networks
- Comparison of Atom and Bond Percolation Processes
- Percolation
- Cut sets and normed cohomology with applications to percolation
- Markov random fields and percolation on general graphs
- Random Walks on Infinite Graphs and Groups
This page was built for publication: Percolation and local isoperimetric inequalities