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.

published proceedings

  • Probability Theory and Related Fields

author list (cited authors)

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

citation count

  • 13

complete list of authors

  • Paouris, Grigoris||Pivovarov, Peter||Zinn, Joel

publication date

  • August 2014