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A correlation inequality for connection events in percolation

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Publication:1872178
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DOI10.1214/aop/1008956324zbMath1013.60079OpenAlexW1810991424MaRDI QIDQ1872178

Jeffry Kahn, Jacob Van Den Berg

Publication date: 6 May 2003

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1008956324

zbMATH Keywords

percolationcorrelation inequalitiesAhlswede-Daykin theorem


Mathematics Subject Classification ID

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


Related Items

The bunkbed conjecture on the complete graph, A new proof of the bunkbed conjecture in the \(p \uparrow 1\) limit, Selected Problems in Probability Theory, The bunkbed conjecture holds in the limit, Correlations for paths in random orientations of G(n,p) and G(n,m), A Counter-Intuitive Correlation in a Random Tournament, On Percolation and the Bunkbed Conjecture



Cites Work

  • Correlation inequalities on some partially ordered sets
  • An inequality for the weights of two families of sets, their unions and intersections
  • Percolation
  • Unnamed Item
  • Unnamed Item
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