A general result on absolute continuity of non-uniform self-similar measures on the real line

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A general result on absolute continuity of non-uniform self-similar measures on the real line. / Neunhäuserer, Jörg.
In: Fractals, Vol. 16, No. 4, 01.12.2008, p. 299-304.

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@article{199036671a88486b9878cf28e855301a,
title = "A general result on absolute continuity of non-uniform self-similar measures on the real line",
abstract = "We present a general result on absolute continuity of biased non-uniform self-similar measure on the real line, given by n different contraction and translation rates. The result holds generically in the sense of Lebesgue measure on a certain part of the parameter domain.",
keywords = "Mathematics, Absolute continuity, Self-similar measures, Transverselity",
author = "J{\"o}rg Neunh{\"a}userer",
year = "2008",
month = dec,
day = "1",
doi = "10.1142/S0218348X08004113",
language = "English",
volume = "16",
pages = "299--304",
journal = "Fractals",
issn = "1793-6543",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "4",

}

RIS

TY - JOUR

T1 - A general result on absolute continuity of non-uniform self-similar measures on the real line

AU - Neunhäuserer, Jörg

PY - 2008/12/1

Y1 - 2008/12/1

N2 - We present a general result on absolute continuity of biased non-uniform self-similar measure on the real line, given by n different contraction and translation rates. The result holds generically in the sense of Lebesgue measure on a certain part of the parameter domain.

AB - We present a general result on absolute continuity of biased non-uniform self-similar measure on the real line, given by n different contraction and translation rates. The result holds generically in the sense of Lebesgue measure on a certain part of the parameter domain.

KW - Mathematics

KW - Absolute continuity

KW - Self-similar measures

KW - Transverselity

UR - http://www.scopus.com/inward/record.url?scp=57249114606&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/0a681b89-f83d-36b6-b7c6-45b6bdcf6784/

U2 - 10.1142/S0218348X08004113

DO - 10.1142/S0218348X08004113

M3 - Journal articles

VL - 16

SP - 299

EP - 304

JO - Fractals

JF - Fractals

SN - 1793-6543

IS - 4

ER -