A central limit theorem for projections of the cube Academic Article uri icon

abstract

  • © 2013 Springer-Verlag Berlin Heidelberg. 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 → ∞. Randomness in this case is with respect to the Haar measure on the Grassmannian manifold.

author list (cited authors)

  • Paouris, G., Pivovarov, P., & Zinn, J.

citation count

  • 9

publication date

  • July 2013