A central limit theorem for projections of the cube

作者:Paouris Grigoris; Pivovarov Peter*; Zinn Joel
来源:Probability Theory and Related Fields, 2014, 159(3-4): 701-719.
DOI:10.1007/s00440-013-0518-8

摘要

We prove a central limit theorem for the volume of projections of the cube onto a random subspace of dimension , when is fixed and . Randomness in this case is with respect to the Haar measure on the Grassmannian manifold.

  • 出版日期2014-8

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