Absolutely continuous random power series in reciprocals of Pisot numbers

Jörg Neunhäuserer

doi:10.1016/j.spl.2012.10.024

Absolutely continuous random power series in reciprocals of Pisot numbers

Jörg Neunhäuserer

Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › Begutachtung

1 Zitat (Scopus)

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.

Originalsprache	Englisch
Zeitschrift	Statistics and Probability Letters
Jahrgang	83
Ausgabenummer	2
Seiten (von - bis)	431-435
Seitenumfang	5
ISSN	0167-7152
DOIs	https://doi.org/10.1016/j.spl.2012.10.024
Publikationsstatus	Erschienen - 02.2013

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Mathematik

ASJC Scopus Sachgebiete

Statistik, Wahrscheinlichkeit und Ungewissheit
Statistik und Wahrscheinlichkeit

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10.1016/j.spl.2012.10.024

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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",

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doi = "10.1016/j.spl.2012.10.024",

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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 - https://www.scopus.com/pages/publications/84869478391

U2 - 10.1016/j.spl.2012.10.024

DO - 10.1016/j.spl.2012.10.024

M3 - Journal articles

SN - 0167-7152

VL - 83

SP - 431

EP - 435

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

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ER -

Absolutely continuous random power series in reciprocals of Pisot numbers

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