Monotonicity of the probability of percolation for Bernoulli random fields on periodic graphs

DOI10.1007/s10958-011-0335-5zbMath1235.60134OpenAlexW2000140366MaRDI QIDQ550590

Yu. P. Virchenko, E. S. Antonova

Publication date: 12 July 2011

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-011-0335-5

zbMATH Keywords

random configurationsperiodic graphBernoulli random fieldpath without self-intersectionsprobability of a percolation

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05) Percolation (82B43)

Cites Work

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• Percolation theory
• Correlation inequalities on some partially ordered sets
• General percolation and random graphs
• Percolation
• Percolation Processes and Related Topics