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Proof of the Van den Berg–Kesten Conjecture

Published online by Cambridge University Press:  01 January 2000

DAVID REIMER
DAVID REIMER
Affiliation:
Dept. of Mathematics, The College of New Jersey, Ewing, NJ 08628-0718, USA (e-mail: dreimer@tcnj.edu)
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Abstract

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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’.

Information

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 9 , Issue 1 , January 2000 , pp. 27 - 32
Copyright
2000 Cambridge University Press