On the Supremum of Random Dirichlet Polynomials
Probability
2008-02-01 v1 Complex Variables
Abstract
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.
Cite
@article{arxiv.math/0703691,
title = {On the Supremum of Random Dirichlet Polynomials},
author = {Mikhail Lifshits and Michel Weber},
journal= {arXiv preprint arXiv:math/0703691},
year = {2008}
}