Proof of the Van den Berg–Kesten Conjecture

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Abstract

We prove the following conjecture of J. van den Berg and H. Kesten. For any events Ascr and Bscr in a product probability space, Prob(Ascr □Bscr ) les Prob(Ascr )Prob(Bscr ), where Ascr □Bscr is the event that Ascr and Bscr occur ‘disjointly’.

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DAVID REIMER (Sat,) studied this question.

synapsesocial.com/papers/6a08726cab15ea61dee8d9cf https://doi.org/https://doi.org/10.1017/s0963548399004113

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