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2008 On the boundedness of Bernoulli processes over thin sets
Rafal Latala
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Electron. Commun. Probab. 13: 175-186 (2008). DOI: 10.1214/ECP.v13-1362


We show that the Bernoulli conjecture holds for sets with small one-dimensional projections, i.e. any bounded Bernoulli process indexed by such set may be represented as a sum of a uniformly bounded process and a process dominated by a bounded Gaussian process.


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Rafal Latala. "On the boundedness of Bernoulli processes over thin sets." Electron. Commun. Probab. 13 175 - 186, 2008.


Accepted: 8 April 2008; Published: 2008
First available in Project Euclid: 6 June 2016

zbMATH: 1187.60027
MathSciNet: MR2399279
Digital Object Identifier: 10.1214/ECP.v13-1362

Primary: 60E15
Secondary: 60G17

Keywords: Bernoulli conjecture , Bernoulli process , majorizing measure , partitioning scheme

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