Perturbation analysis of the van den Berg Kesten inequality for determinantal probability measures. (English) Zbl 1286.60010

Summary: This paper describes a second-order perturbation analysis of the BK property in the space of Hermitian determinantal probability measures around the subspace of product measures, showing that the second-order Taylor approximation of the BK inequality holds for increasing events.


60C05 Combinatorial probability
60K35 Interacting random processes; statistical mechanics type models; percolation theory
60E15 Inequalities; stochastic orderings
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