A central limit theorem for projections of the cube

• 成果类型: Article
• 署名作者: Paouris, Grigoris; Pivovarov, Peter; Zinn, Joel
• 署名单位: Texas A&M University System; Texas A&M University College Station; University of Missouri System; University of Missouri Columbia
• 刊物名称: PROBABILITY THEORY AND RELATED FIELDS
• ISSN/ISSBN: 0178-8051
• DOI: 10.1007/s00440-013-0518-8
• 发表日期: 2014
• 页码: 701-719
• 关键词: VOLUME

摘要

We prove a central limit theorem for the volume of projections of the cube onto a random subspace of dimension , when is fixed and . Randomness in this case is with respect to the Haar measure on the Grassmannian manifold.