On the boundedness of Bernoulli processes

• 成果类型: Article
• 署名作者: Bednorz, Witold; Latala, Rafal
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2014.180.3.8
• 发表日期: 2014
• 页码: 1167-1203
• 关键词: majorizing measures; REGULARITY; supremum; THEOREM; sets

摘要

We present a positive solution to the so-called Bernoulli Conjecture concerning the characterization of sample boundedness of Bernoulli processes. We also discuss some applications and related open problems.