Mathematics – Probability
Scientific paper
2007-03-23
Studia Math., 2007, v.182, 41-65.
Mathematics
Probability
Scientific paper
We study the supremum of some random Dirichlet polynomials and obtain sharp upper and lower bounds for supremum expectation that extend the optimal estimate of Hal\'asz-Queff\'elec and enable to cunstruct random polynomials with unusually small maxima. Our approach in proving these results is entirely based on methods of stochastic processes, in particular the metric entropy method.
Lifshits Mikhail
Weber Michel
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