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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: [email protected])
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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’.

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

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