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

Research output: Journal contributions › Journal articles › Research › peer-review

2 Citations (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.

Original language	English
Journal	Acta Mathematica Hungarica
Volume	113
Issue number	4
Pages (from-to)	333-343
Number of pages	11
ISSN	0236-5294
DOIs	https://doi.org/10.1007/s10474-006-0110-0
Publication status	Published - 12.2006

Research areas and keywords

Mathematics
absolute continuity
self-similar measures
singularity

ASJC Scopus Subject Areas

Mathematics(all)

Access to Document

10.1007/s10474-006-0110-0

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

Cite this

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title = "A construction of singular overlapping asymmetric self-similar measures",

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.",

keywords = "Mathematics, absolute continuity, self-similar measures, singularity",

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

year = "2006",

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doi = "10.1007/s10474-006-0110-0",

language = "English",

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T1 - A construction of singular overlapping asymmetric self-similar measures

AU - Neunhäuserer, Jörg

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AB - 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.

KW - Mathematics

KW - absolute continuity

KW - self-similar measures

KW - singularity

UR - https://www.scopus.com/pages/publications/33751199901

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U2 - 10.1007/s10474-006-0110-0

DO - 10.1007/s10474-006-0110-0

M3 - Journal articles

SN - 0236-5294

VL - 113

SP - 333

EP - 343

JO - Acta Mathematica Hungarica

JF - Acta Mathematica Hungarica

IS - 4

ER -

A construction of singular overlapping asymmetric self-similar measures

Abstract

Research areas and keywords

ASJC Scopus Subject Areas

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Cite this