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 ofR n 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.
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Research was partially supported by the Israel Science Foundation.
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Artstein, S. Proportional concentration phenomena on the sphere. Isr. J. Math. 132, 337–358 (2002). https://doi.org/10.1007/BF02784520
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DOI: https://doi.org/10.1007/BF02784520