Rafał Latała
Abstract
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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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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.
Key concepts: Bernoulli's principle, Bernoulli process, Bounded function, Mathematics, Bernoulli scheme, Conjecture, Process (computing), Set (abstract data type)