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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 wikiPageLength "14541".
- FKG_inequality wikiPageOutDegree "47".
- FKG_inequality wikiPageRevisionID "667080815".
- FKG_inequality wikiPageWikiLink Ahlswede–Daykin_inequality.
- FKG_inequality wikiPageWikiLink Cartesian_product.
- FKG_inequality wikiPageWikiLink Category:Covariance_and_correlation.
- FKG_inequality wikiPageWikiLink Category:Inequalities.
- FKG_inequality wikiPageWikiLink Category:Statistical_mechanics.
- FKG_inequality wikiPageWikiLink Cees_M._Fortuin.
- FKG_inequality wikiPageWikiLink Chebyshevs_sum_inequality.
- FKG_inequality wikiPageWikiLink Combinatorics.
- FKG_inequality wikiPageWikiLink Correlation.
- FKG_inequality wikiPageWikiLink Correlation_and_dependence.
- FKG_inequality wikiPageWikiLink Coupling_(probability).
- FKG_inequality wikiPageWikiLink Cylinder_(algebra).
- FKG_inequality wikiPageWikiLink Distributive_lattice.
- FKG_inequality wikiPageWikiLink Erdos–Renyi_model.
- FKG_inequality wikiPageWikiLink Erdős–Rényi_model.
- FKG_inequality wikiPageWikiLink Expected_value.
- FKG_inequality wikiPageWikiLink Gibbs_measure.
- FKG_inequality wikiPageWikiLink Graph_(mathematics).
- FKG_inequality wikiPageWikiLink Graph_coloring.
- FKG_inequality wikiPageWikiLink Griffiths_inequalities.
- FKG_inequality wikiPageWikiLink Griffiths_inequality.
- FKG_inequality wikiPageWikiLink Hamiltonian_cycle.
- FKG_inequality wikiPageWikiLink Hamiltonian_path.
- FKG_inequality wikiPageWikiLink Hex_(board_game).
- FKG_inequality wikiPageWikiLink Hexagonal_lattice.
- FKG_inequality wikiPageWikiLink Honeycomb_lattice.
- FKG_inequality wikiPageWikiLink I.i.d..
- FKG_inequality wikiPageWikiLink Independent_and_identically_distributed_random_variables.
- FKG_inequality wikiPageWikiLink Ising_model.
- FKG_inequality wikiPageWikiLink Jean_Ginibre.
- FKG_inequality wikiPageWikiLink Markov_chain.
- FKG_inequality wikiPageWikiLink Metropolis_algorithm.
- FKG_inequality wikiPageWikiLink Metropolis–Hastings_algorithm.
- FKG_inequality wikiPageWikiLink Partially_ordered_set.
- FKG_inequality wikiPageWikiLink Percolation_theory.
- FKG_inequality wikiPageWikiLink Phase_transitions_and_critical_phenomena.
- FKG_inequality wikiPageWikiLink Pieter_Kasteleyn.
- FKG_inequality wikiPageWikiLink Poset.
- FKG_inequality wikiPageWikiLink Probabilistic_method.
- FKG_inequality wikiPageWikiLink Random_graph.
- FKG_inequality wikiPageWikiLink Statistical_mechanics.
- FKG_inequality wikiPageWikiLink Stochastic_ordering.
- FKG_inequality wikiPageWikiLink Submodular.
- FKG_inequality wikiPageWikiLink Submodular_set_function.
- FKG_inequality wikiPageWikiLink Ted_Harris_(mathematician).
- FKG_inequality wikiPageWikiLink Total_order.
- FKG_inequality wikiPageWikiLink Totally_ordered.
- FKG_inequality wikiPageWikiLinkText "FKG inequality".
- FKG_inequality wikiPageWikiLinkText "FKG inequality#A generalization: the Holley inequality".
- FKG_inequality wikiPageWikiLinkText "FKG inequality#A special case: the Harris inequality".
- FKG_inequality wikiPageWikiLinkText "FKG inequality#The inequality".
- FKG_inequality wikiPageWikiLinkText "FKG inequality#Variations on terminology".
- 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 Cees_M._Fortuin.
- FKG_inequality last Jean_Ginibre.
- FKG_inequality last Pieter_Kasteleyn.
- FKG_inequality last "Fishburn".
- 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 wikiPageUsesTemplate Template:Citation.
- FKG_inequality wikiPageUsesTemplate Template:Harv.
- FKG_inequality wikiPageUsesTemplate Template:Harvs.
- FKG_inequality wikiPageUsesTemplate Template:Harvtxt.
- FKG_inequality wikiPageUsesTemplate Template:Springer.
- FKG_inequality year "1971".
- FKG_inequality subject Category:Covariance_and_correlation.
- FKG_inequality subject Category:Inequalities.
- FKG_inequality subject Category:Statistical_mechanics.
- FKG_inequality hypernym Inequality.
- FKG_inequality type Inequality.
- FKG_inequality type Mechanic.
- FKG_inequality type Physic.
- FKG_inequality type Relation.
- FKG_inequality type Theorem.
- 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 sameAs Korrelationsungleichung.
- FKG_inequality sameAs Inégalité_FKG.
- FKG_inequality sameAs m.04zymrb.
- FKG_inequality sameAs Q1784730.
- FKG_inequality sameAs Q1784730.
- FKG_inequality wasDerivedFrom FKG_inequality?oldid=667080815.
- FKG_inequality isPrimaryTopicOf FKG_inequality.