A central limit theorem for projections of the cube
classification
🧮 math.PR
math.MG
keywords
centrallimitprojectionstheoremcasecubedimensionfixed
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We prove a central limit theorem for the volume of projections of the N-cube onto a random subspace of dimension n, when n is fixed and N tends to infinity. Randomness in this case is with respect to the Haar measure on the Grassmannian manifold.
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