On the boundedness of Bernoulli processes

Witold Bednorz; Rafał  Latała

doi:https://doi.org/10.4007/annals.2014.180.3.8

On the boundedness of Bernoulli processes

Pages 1167-1203 from Volume 180 (2014), Issue 3 by Witold Bednorz, Rafał Latała

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.

Keywords

Bernoulli process, VC-classes, chaining methods, random Fourier series, regularity of stochastic processes

DOI

https://doi.org/10.4007/annals.2014.180.3.8

3245015

zbMATH

1309.60053

Milestones

Received: 24 May 2013
Accepted: 20 November 2013
Published online: 1 November 2014

Authors

Witold Bednorz

Institute of Mathematics, University of Warsaw, Warszawa, Poland

Rafał Latała

Institute of Mathematics, University of Warsaw, Warszawa, Poland