Absolutely continuous random power series in reciprocals of Pisot numbers

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Absolutely continuous random power series in reciprocals of Pisot numbers. / Neunhäuserer, Jörg.
In: Statistics and Probability Letters, Vol. 83, No. 2, 02.2013, p. 431-435.

Research output: Journal contributionsJournal articlesResearchpeer-review

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@article{325dcdcf666e44b6aca18d0ce2fea9d3,
title = "Absolutely continuous random power series in reciprocals of Pisot numbers",
abstract = "We construct a continuum of shift invariant Borel probability measures on {-1,1}N such that corresponding random power series in reciprocals of Pisot numbers are absolutely continuous with respect to the Lebesgue measure.",
keywords = "Mathematics, Random power series, Absolute sontinuity, Pisot numbers",
author = "J{\"o}rg Neunh{\"a}userer",
year = "2013",
month = feb,
doi = "10.1016/j.spl.2012.10.024",
language = "English",
volume = "83",
pages = "431--435",
journal = "Statistics and Probability Letters",
issn = "0167-7152",
publisher = "Elsevier B.V.",
number = "2",

}

RIS

TY - JOUR

T1 - Absolutely continuous random power series in reciprocals of Pisot numbers

AU - Neunhäuserer, Jörg

PY - 2013/2

Y1 - 2013/2

N2 - We construct a continuum of shift invariant Borel probability measures on {-1,1}N such that corresponding random power series in reciprocals of Pisot numbers are absolutely continuous with respect to the Lebesgue measure.

AB - We construct a continuum of shift invariant Borel probability measures on {-1,1}N such that corresponding random power series in reciprocals of Pisot numbers are absolutely continuous with respect to the Lebesgue measure.

KW - Mathematics

KW - Random power series

KW - Absolute sontinuity

KW - Pisot numbers

UR - http://www.scopus.com/inward/record.url?scp=84869478391&partnerID=8YFLogxK

U2 - 10.1016/j.spl.2012.10.024

DO - 10.1016/j.spl.2012.10.024

M3 - Journal articles

VL - 83

SP - 431

EP - 435

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

SN - 0167-7152

IS - 2

ER -

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