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On the supremum of some random dirichlet polynomials. / Lifshits, M.; Weber, M.

In: Acta Mathematica Hungarica, Vol. 123, No. 1-2, 01.04.2009, p. 41-64.

Research output: Contribution to journal › Article › peer-review

Harvard

Lifshits, M & Weber, M 2009, 'On the supremum of some random dirichlet polynomials', Acta Mathematica Hungarica, vol. 123, no. 1-2, pp. 41-64. https://doi.org/10.1007/s10474-008-8059-9

APA

Lifshits, M., & Weber, M. (2009). On the supremum of some random dirichlet polynomials. Acta Mathematica Hungarica, 123(1-2), 41-64. https://doi.org/10.1007/s10474-008-8059-9

Vancouver

Lifshits M, Weber M. On the supremum of some random dirichlet polynomials. Acta Mathematica Hungarica. 2009 Apr 1;123(1-2):41-64. https://doi.org/10.1007/s10474-008-8059-9

Author

Lifshits, M. ; Weber, M. / On the supremum of some random dirichlet polynomials. In: Acta Mathematica Hungarica. 2009 ; Vol. 123, No. 1-2. pp. 41-64.

BibTeX

@article{08579f825932435c912388d8fa630893,
title = "On the supremum of some random dirichlet polynomials",
abstract = "We study the average supremum of some random Dirichlet polynomials D N (t) = ∑ n=1 N ε n d(n)n -σ-it , where (εn ) is a sequence of independent Rademacher random variables, the weights d(n) satisfy some reasonable conditions and 0 ∼ σ ∼1/2. We use an approach based on methods of stochastic processes, in particular the metric entropy method developed in [8].",
keywords = "Dirichlet polynomial, Metric entropy, Rademacher process",
author = "M. Lifshits and M. Weber",
year = "2009",
month = apr,
day = "1",
doi = "10.1007/s10474-008-8059-9",
language = "English",
volume = "123",
pages = "41--64",
journal = "Acta Mathematica Hungarica",
issn = "0236-5294",
publisher = "Springer Nature",
number = "1-2",

}

RIS

TY - JOUR

T1 - On the supremum of some random dirichlet polynomials

AU - Lifshits, M.

AU - Weber, M.

PY - 2009/4/1

Y1 - 2009/4/1

N2 - We study the average supremum of some random Dirichlet polynomials D N (t) = ∑ n=1 N ε n d(n)n -σ-it , where (εn ) is a sequence of independent Rademacher random variables, the weights d(n) satisfy some reasonable conditions and 0 ∼ σ ∼1/2. We use an approach based on methods of stochastic processes, in particular the metric entropy method developed in [8].

AB - We study the average supremum of some random Dirichlet polynomials D N (t) = ∑ n=1 N ε n d(n)n -σ-it , where (εn ) is a sequence of independent Rademacher random variables, the weights d(n) satisfy some reasonable conditions and 0 ∼ σ ∼1/2. We use an approach based on methods of stochastic processes, in particular the metric entropy method developed in [8].

KW - Dirichlet polynomial

KW - Metric entropy

KW - Rademacher process

UR - http://www.scopus.com/inward/record.url?scp=64549121520&partnerID=8YFLogxK

U2 - 10.1007/s10474-008-8059-9

DO - 10.1007/s10474-008-8059-9

M3 - Article

AN - SCOPUS:64549121520

VL - 123

SP - 41

EP - 64

JO - Acta Mathematica Hungarica

JF - Acta Mathematica Hungarica

SN - 0236-5294

IS - 1-2

ER -

ID: 37009656