On the boundedness of Bernoulli processes over thin sets

Rafal Latala (University of Warsaw)

Abstract


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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Pages: 175-186

Publication Date: April 8, 2008

DOI: 10.1214/ECP.v13-1362

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