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Proof of the Van den Berg–Kesten Conjecture

Proof of the Van den Berg–Kesten Conjecture 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’. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png "Combinatorics,Probability and Computing" Cambridge University Press

Proof of the Van den Berg–Kesten Conjecture

"Combinatorics,Probability and Computing" , Volume 9 (1): 6 – Jan 1, 2000

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References (3)

Publisher
Cambridge University Press
Copyright
2000 Cambridge University Press
ISSN
1469-2163
eISSN
0963-5483
DOI
10.1017/S0963548399004113
Publisher site
See Article on Publisher Site

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’.

Journal

"Combinatorics,Probability and Computing"Cambridge University Press

Published: Jan 1, 2000

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