On the boundedness of Bernoulli processes

Abstract

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.

36 pages

References in corpus (1)

• A theorem on majorizing measures

Cited by in corpus (4)

• A note on suprema of canonical processes based on random variables with regular moments
• A note on concentration for polynomials in the Ising model
• Bounding suprema of canonical processes via convex hull
• The suprema of infinitely divisible processes