Percolation and contact processes with low-dimensional inhomogeneity
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Publication:1381570
DOI10.1214/aop/1023481113zbMath0901.60074OpenAlexW2020245218MaRDI QIDQ1381570
Charles M. Newman, C. Chris Wu
Publication date: 24 November 1998
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aop/1023481113
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)
Related Items (3)
Subcritical percolation with a line of defects ⋮ Inhomogeneous contact processes on trees ⋮ Phase diagram of inhomogeneous percolation with a defect plane
Cites Work
- Multiple transition points for the contact process on the binary tree
- Percolation in half-spaces: Equality of critical densities and continuity of the percolation probability
- Mean-field critical behaviour for percolation in high dimensions
- Tree graph inequalities and critical behavior in percolation models
- The critical probability of bond percolation on the square lattice equals 1/2
- Exponential decay for subcritical contact and percolation processes
- The contact process on trees
- Critical exponents for the contact process under the triangle condition
- Triangle condition for oriented percolation in high dimensions
- A note on inhomogeneous percolation
- On the critical behavior of the contact process in deterministic inhomogeneous environments
- Discontinuity of the percolation density in one dimensional \(1/| x- y| ^ 2\) percolation models
- The contact process on a tree: Behavior near the first phase transition
- The critical contact process dies out
- The supercritical phase of percolation is well behaved
- Critical behavior of percolation and Markov fields on branching planes
- The critical contact process on a homogeneous tree
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