On the Supremum of Some Random Dirichlet Polynomials

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We study the supremum of some random Dirichlet polynomials with independent coefficients and obtain sharp upper and lower bounds for supremum expectation thus extending the results from our previous work (see http://arXiv.org/abs/math/0703691). Our approach in proving these results is entirely based on methods of stochastic processes, in particular the metric entropy method.

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Probability, Complex Variables, 30B50; 26D05

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http://salesiana.dossiersoluciones.com/handle/123456789/227960

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0802.0071
 http://arxiv.org/abs/0802.0071
 Acta Math.Hung. 2009, v.123, No 1-2, 41-64

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arXiv