A central limit theorem for projections of the cube
Probability
2012-12-04 v2 Metric Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.1210.7012,
title = {A central limit theorem for projections of the cube},
author = {Grigoris Paouris and Peter Pivovarov and Joel Zinn},
journal= {arXiv preprint arXiv:1210.7012},
year = {2012}
}