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On the boundedness of Bernoulli processes over thin sets. (English) Zbl 1187.60027

Summary: 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.

MSC:

60G17 Sample path properties
60E15 Inequalities; stochastic orderings
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