Substitution Method Critical Probability Bounds for the Square Lattice Site Percolation Model

DOI10.1017/S0963548300001565zbMath0835.60089MaRDI QIDQ4852432

John C. Wierman

Publication date: 26 March 1996

Published in: Combinatorics, Probability and Computing (Search for Journal in Brave)

zbMATH Keywords

bond percolationcritical probabilitysquare lattice site percolation

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Graph theory (05C99)

Related Items (19)

Critical Probabilities of 1-Independent Percolation Models ⋮ New bounds for the site percolation threshold of the hexagonal lattice ⋮ Bond percolation critical probability bounds for three Archimedean lattices ⋮ 1‐independent percolation on ℤ2×Kn ⋮ Percolation of even sites for random sequential adsorption ⋮ A disproof of Tsallis' bond percolation threshold conjecture for the Kagome lattice ⋮ An upper bound for the bond percolation threshold of the cubic lattice by a growth process approach ⋮ Scenery reconstruction with branching random walk ⋮ Bounding basic characteristics of spatial epidemics with a new percolation model ⋮ Integral-geometry morphological image analysis ⋮ Rigorous confidence intervals on critical thresholds in 3 dimensions ⋮ Long paths and connectivity in 1‐independent random graphs ⋮ Weakly constrained-degree percolation on the hypercubic lattice ⋮ Positive correlations in the fuzzy Potts model ⋮ A smaller upper bound for the \((4,8^2)\) lattice site percolation threshold ⋮ Several constants arising in statistical mechanics ⋮ Prime Percolation ⋮ The lightning model ⋮ Degenerate random environments

Cites Work

• Unnamed Item
• Unnamed Item
• The critical probability of bond percolation on the square lattice equals 1/2
• A lower bound for the critical probability of the square lattice site percolation
• Critical probability bounds for two-dimensional site percolation models
• Bounds for the Percolation Threshold for a Square Lattice
• Coexistence of the infinite (*) clusters: ? A remark on the square lattice site percolation
• The Existence of Probability Measures with Given Marginals

This page was built for publication: Substitution Method Critical Probability Bounds for the Square Lattice Site Percolation Model