Topological estimation of percolation thresholds

DOI10.1088/1742-5468/2008/01/P01011zbMath1456.82472arXiv0708.3250WikidataQ59712532 ScholiaQ59712532MaRDI QIDQ5239418

Klaus R. Mecke, Richard A. Neher, Herbert Wagner

Publication date: 22 October 2019

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.3250

zbMATH Keywords

topology and combinatoricsclassical phase transitions (theory)percolation problems (theory)

Mathematics Subject Classification ID

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

Related Items (11)

Effects of ramification and connectivity degree on site percolation threshold on regular lattices and fractal networks ⋮ Introduction to Stochastic Geometry ⋮ Minkowski tensors of anisotropic spatial structure ⋮ Heuristic theory for many-facedd-dimensional Poisson–Voronoi cells ⋮ Site percolation on lattices with low average coordination numbers ⋮ Critical probability of percolation over bounded region in N-dimensional Euclidean space ⋮ Fate of Ising ferromagnets and antiferromagnets by zero-temperature Glauber dynamics on the two-dimensional Archimedean and 2-uniform lattices ⋮ Anisotropy in finite continuum percolation: threshold estimation by Minkowski functionals ⋮ Geometric functionals of fractal percolation ⋮ Continuum line-of-sight percolation on Poisson–Voronoi tessellations ⋮ Spanning tree generating functions for infinite periodic graphs L and connections with simple closed random walks on L

Cites Work

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• The critical probability of bond percolation on the square lattice equals 1/2
• Euler characteristic and related measures for random geometric sets
• Critical exponents for two-dimensional percolation
• Critical Probabilities for Cluster Size and Percolation Problems
• Percolation
• Universality of the excess number of clusters and the crossing probability function in three-dimensional percolation
• Estimation of bond percolation thresholds on the Archimedean lattices
• Polyakov loop percolation and deconfinement in SU(2) gauge theory.

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