A central limit theorem for projections of the cube

Paouris, Grigoris; Pivovarov, Peter; Zinn, Joel
August 2014
Probability Theory & Related Fields;Aug2014, Vol. 159 Issue 3/4, p701
Academic Journal
We prove a central limit theorem for the volume of projections of the cube $$[-1,1]^N$$ onto a random subspace of dimension $$n$$ , when $$n$$ is fixed and $$N\rightarrow \infty $$ . Randomness in this case is with respect to the Haar measure on the Grassmannian manifold.


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