A construction of singular overlapping asymmetric self-similar measures

Jörg Neunhäuserer

doi:10.1007/s10474-006-0110-0

A construction of singular overlapping asymmetric self-similar measures

Jörg Neunhäuserer

Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › Begutachtung

2 Zitate (Scopus)

Abstract

In [8] we found a class of overlapping asymmetric self-similar measures on the real line, which are generically absolutely continuous with respect to the Lebesgue measure. Here we construct exceptional measures in this class being singular.

Originalsprache	Englisch
Zeitschrift	Acta Mathematica Hungarica
Jahrgang	113
Ausgabenummer	4
Seiten (von - bis)	333-343
Seitenumfang	11
ISSN	0236-5294
DOIs	https://doi.org/10.1007/s10474-006-0110-0
Publikationsstatus	Erschienen - 12.2006

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Mathematik

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Mathematik (insg.)

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10.1007/s10474-006-0110-0

https://arxiv.org/pdf/1810.12622Lizenz: CC BY

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KW - Mathematics

KW - absolute continuity

KW - self-similar measures

KW - singularity

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A construction of singular overlapping asymmetric self-similar measures

Abstract

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