Proportional concentration phenomena on the sphere

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Abstract

In this paper we establish concentration phenomena for subspaces with arbitrary dimension. Namely, we display conditions under which the Haar measure on the sphere concentrates on a neighborhood of the intersection of the sphere with a subspace of Rn of a given dimension. We display applications to a problem of projections of points on the sphere, and to the duality of entropy numbers conjecture.

Original languageEnglish
Pages (from-to)337-358
Number of pages22
JournalIsrael Journal of Mathematics
Volume132
DOIs
StatePublished - 2002

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