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- FKG_inequality abstract "In mathematics, the Fortuin–Kasteleyn–Ginibre (FKG) inequality is a correlation inequality, a fundamental tool in statistical mechanics and probabilistic combinatorics (especially random graphs and the probabilistic method), due to Cees M. Fortuin, Pieter W. Kasteleyn, and Jean Ginibre (1971). Informally, it says that in many random systems, increasing events are positively correlated, while an increasing and a decreasing event are negatively correlated.An earlier version, for the special case of i.i.d. variables, called Harris inequality, is due to Theodore Edward Harris (1960), see below. One generalization of the FKG inequality is the Holley inequality (1974) below, and an even further generalization is the Ahlswede–Daykin "four functions" theorem (1978). Furthermore, it has the same conclusion as the Griffiths inequalities, but the hypotheses are different.".
- FKG_inequality wikiPageExternalLink 1103857443.
- FKG_inequality wikiPageExternalLink 1103859732.
- FKG_inequality wikiPageID "20283423".
- FKG_inequality wikiPageRevisionID "602572144".
- FKG_inequality first "Cees M.".
- FKG_inequality first "Jean".
- FKG_inequality first "P.C.".
- FKG_inequality first "Pieter W.".
- FKG_inequality hasPhotoCollection FKG_inequality.
- FKG_inequality id "f/f110120".
- FKG_inequality journal "Communications in Mathematical Physics".
- FKG_inequality last Jean_Ginibre.
- FKG_inequality last Pieter_Kasteleyn.
- FKG_inequality last "Fishburn".
- FKG_inequality last Cees_M._Fortuin.
- FKG_inequality mr "309498".
- FKG_inequality pages "89".
- FKG_inequality title "Correlation inequalities on some partially ordered sets".
- FKG_inequality url 1103857443.
- FKG_inequality volume "22".
- FKG_inequality year "1971".
- FKG_inequality subject Category:Covariance_and_correlation.
- FKG_inequality subject Category:Inequalities.
- FKG_inequality subject Category:Statistical_mechanics.
- FKG_inequality type Abstraction100002137.
- FKG_inequality type Attribute100024264.
- FKG_inequality type Difference104748836.
- FKG_inequality type Inequalities.
- FKG_inequality type Inequality104752221.
- FKG_inequality type Quality104723816.
- FKG_inequality comment "In mathematics, the Fortuin–Kasteleyn–Ginibre (FKG) inequality is a correlation inequality, a fundamental tool in statistical mechanics and probabilistic combinatorics (especially random graphs and the probabilistic method), due to Cees M. Fortuin, Pieter W. Kasteleyn, and Jean Ginibre (1971).".
- FKG_inequality label "FKG inequality".
- FKG_inequality label "Inégalité FKG".
- FKG_inequality label "Korrelationsungleichung".
- FKG_inequality sameAs Korrelationsungleichung.
- FKG_inequality sameAs Inégalité_FKG.
- FKG_inequality sameAs m.04zymrb.
- FKG_inequality sameAs Q1784730.
- FKG_inequality sameAs Q1784730.
- FKG_inequality sameAs FKG_inequality.
- FKG_inequality wasDerivedFrom FKG_inequality?oldid=602572144.
- FKG_inequality isPrimaryTopicOf FKG_inequality.