Multifractality of overlapping non-uniform self-similar measures

Publikation: Beiträge in ZeitschriftenZeitschriftenaufsätzeForschungbegutachtet

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Multifractality of overlapping non-uniform self-similar measures. / Neunhäuserer, Jörg.
in: Monatshefte für Mathematik, Jahrgang 177, Nr. 3, 12.07.2015, S. 461-469.

Publikation: Beiträge in ZeitschriftenZeitschriftenaufsätzeForschungbegutachtet

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@article{9eb0c56b1b0748269105683293e42fb5,
title = "Multifractality of overlapping non-uniform self-similar measures",
abstract = "We prove that non-uniform self-similar measures have a multifractal spectrum in a parameter domain where the open set condition fails to hold.",
keywords = "Mathematics, Dimension spectrum, Local dimension, Multifractal analysis, Potential theory, Self-similar measures, Transversality",
author = "J{\"o}rg Neunh{\"a}userer",
year = "2015",
month = jul,
day = "12",
doi = "10.1007/s00605-014-0658-7",
language = "English",
volume = "177",
pages = "461--469",
journal = "Monatshefte f{\"u}r Mathematik",
issn = "1436-5081",
publisher = "Springer-Verlag Wien",
number = "3",

}

RIS

TY - JOUR

T1 - Multifractality of overlapping non-uniform self-similar measures

AU - Neunhäuserer, Jörg

PY - 2015/7/12

Y1 - 2015/7/12

N2 - We prove that non-uniform self-similar measures have a multifractal spectrum in a parameter domain where the open set condition fails to hold.

AB - We prove that non-uniform self-similar measures have a multifractal spectrum in a parameter domain where the open set condition fails to hold.

KW - Mathematics

KW - Dimension spectrum

KW - Local dimension

KW - Multifractal analysis

KW - Potential theory

KW - Self-similar measures

KW - Transversality

UR - http://www.scopus.com/inward/record.url?scp=84930818281&partnerID=8YFLogxK

U2 - 10.1007/s00605-014-0658-7

DO - 10.1007/s00605-014-0658-7

M3 - Journal articles

VL - 177

SP - 461

EP - 469

JO - Monatshefte für Mathematik

JF - Monatshefte für Mathematik

SN - 1436-5081

IS - 3

ER -

DOI

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