Intersecting random half spaces with a cube
[Volume de l'intersection d'un cube et de sous-espaces aleatoires]
Talagrand, Michel1
1 Équipe d'analyse, boı̂te 186, ESA associée au CNRS, Université Paris VI, 4, place Jussieu, 75230 Paris cedex 05, France
Comptes Rendus. Mathématique, Tome 334 (2002) no. 9, pp. 807-809.

Nous calculons la cardinalité typique de l'intersection du cube discret {−1,1}N et de M demi-espaces aleatoires, quand M est une petite proportion de N.

We compute the typical number of points of the discrete cube {−1,1}N that belong to the intersection of M random half-spaces, when M is a small proportion of N.

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DOI : 10.1016/S1631-073X(02)02368-3
Talagrand, Michel 1

1 Équipe d'analyse, boı̂te 186, ESA associée au CNRS, Université Paris VI, 4, place Jussieu, 75230 Paris cedex 05, France 
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Talagrand, Michel. Intersecting random half spaces with a cube. Comptes Rendus. Mathématique, Tome 334 (2002) no. 9, pp. 807-809. doi : 10.1016/S1631-073X(02)02368-3. http://www.numdam.org/articles/10.1016/S1631-073X(02)02368-3/

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