On the Supremum of Random Dirichlet Polynomials

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dc.creatorLifshits, Mikhail
dc.creatorWeber, Michel
dc.date2007-03-23
dc.date.accessioned2026-07-07T08:57:35Z
dc.date.available2026-07-07T08:57:35Z
dc.descriptionWe study the supremum of some random Dirichlet polynomials and obtain sharp upper and lower bounds for supremum expectation that extend the optimal estimate of Halász-Queffélec 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.
dc.identifierhttps://arxiv.org/abs/math/0703691
dc.identifierhttp://arxiv.org/abs/math/0703691
dc.identifierStudia Math., 2007, v.182, 41-65.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/147021
dc.subjectProbability
dc.subjectComplex Variables
dc.subject30B50,26D05
dc.titleOn the Supremum of Random Dirichlet Polynomials
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