On inhomogeneous Bernoulli convolutions and random power series

Antonios Bisbas; Jörg Neunhäuserer

On inhomogeneous Bernoulli convolutions and random power series

Antonios Bisbas
, Jörg Neunhäuserer

Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › Begutachtung

1 Zitat (Scopus)

Abstract

We extend the results of Peres and Solomyak on absolute continu- ity and singularity of homogeneous Bernoulli convolutions to inhomo- geneous ones and generalize the result to random power series given by inhomogeneous Markov chains. In addition we prove an Erdös-Salem type theorem for inhomogeneous Bernoulli convolutions.

Originalsprache	Englisch
Zeitschrift	Real Analysis Exchange
Jahrgang	36
Ausgabenummer	1
Seiten (von - bis)	213-222
Seitenumfang	10
ISSN	0147-1937
Publikationsstatus	Erschienen - 2011
Extern publiziert	Ja

Fachgebiete und Schlagwörter

Mathematik

ASJC Scopus Sachgebiete

Geometrie und Topologie
Analyse

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http://projecteuclid.org/euclid.rae/1300108094Lizenz: Urheberrechtlich geschützt

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title = "On inhomogeneous Bernoulli convolutions and random power series",

abstract = "We extend the results of Peres and Solomyak on absolute continu- ity and singularity of homogeneous Bernoulli convolutions to inhomo- geneous ones and generalize the result to random power series given by inhomogeneous Markov chains. In addition we prove an Erd{\"o}s-Salem type theorem for inhomogeneous Bernoulli convolutions.",

keywords = "Mathematics, Absolute continuity, Inhomogeneous bernoulli convolution, Pisot numbers, Random power series, Singularity",

author = "Antonios Bisbas and J{\"o}rg Neunh{\"a}userer",

note = "Copyright {\textcopyright} 2010 Michigan State University Press ",

year = "2011",

language = "English",

volume = "36",

pages = "213--222",

journal = "Real Analysis Exchange",

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T1 - On inhomogeneous Bernoulli convolutions and random power series

AU - Bisbas, Antonios

AU - Neunhäuserer, Jörg

PY - 2011

Y1 - 2011

N2 - We extend the results of Peres and Solomyak on absolute continu- ity and singularity of homogeneous Bernoulli convolutions to inhomo- geneous ones and generalize the result to random power series given by inhomogeneous Markov chains. In addition we prove an Erdös-Salem type theorem for inhomogeneous Bernoulli convolutions.

AB - We extend the results of Peres and Solomyak on absolute continu- ity and singularity of homogeneous Bernoulli convolutions to inhomo- geneous ones and generalize the result to random power series given by inhomogeneous Markov chains. In addition we prove an Erdös-Salem type theorem for inhomogeneous Bernoulli convolutions.

KW - Mathematics

KW - Absolute continuity

KW - Inhomogeneous bernoulli convolution

KW - Pisot numbers

KW - Random power series

KW - Singularity

UR - https://www.scopus.com/pages/publications/84869398750

UR - https://www.mendeley.com/catalogue/93c1537f-06c6-347e-a68c-764c22ebeaff/

M3 - Journal articles

SN - 0147-1937

VL - 36

SP - 213

EP - 222

JO - Real Analysis Exchange

JF - Real Analysis Exchange

IS - 1

ER -

On inhomogeneous Bernoulli convolutions and random power series

Abstract

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