Electronic Communications in Probability

Electronic Communications in Probability > Vol. 13 (2008) > Paper 17

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.

Full text: PDF

Pages: 175-786

Published on: April 8, 2008

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Electronic Communications in Probability. ISSN: 1083-589X