We extend the Fortuin–Kasteleyn–Ginibre (FKG) inequality to cover multiple events with equal pairwise intersections. We then apply this inequality to resolve Kahn's question on positive associated measures, as well as prove new inequalities concerning random graphs and probabilities of connection in Bernoulli percolation.
No takes yet. Share an insight, caveat, or question.
Nikita Gladkov (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: