Multifractality of overlapping non-uniform self-similar measures

Jörg Neunhäuserer

doi:10.1007/s00605-014-0658-7

Multifractality of overlapping non-uniform self-similar measures

Jörg Neunhäuserer

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

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.

Original language	English
Journal	Monatshefte für Mathematik
Volume	177
Issue number	3
Pages (from-to)	461-469
Number of pages	9
DOIs	https://doi.org/10.1007/s00605-014-0658-7
Publication status	Published - 12.07.2015

Research areas and keywords

Mathematics
Dimension spectrum
Local dimension
Multifractal analysis
Potential theory
Self-similar measures
Transversality

ASJC Scopus Subject Areas

Mathematics(all)

Access to Document

10.1007/s00605-014-0658-7

Cite this

@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 ({\"O}sterreich)",

number = "3",

}

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 - https://www.scopus.com/pages/publications/84930818281

U2 - 10.1007/s00605-014-0658-7

DO - 10.1007/s00605-014-0658-7

M3 - Journal articles

SN - 1436-5081

VL - 177

SP - 461

EP - 469

JO - Monatshefte für Mathematik

JF - Monatshefte für Mathematik

IS - 3

ER -

Multifractality of overlapping non-uniform self-similar measures

Abstract

Research areas and keywords

ASJC Scopus Subject Areas

Access to Document

Fingerprint

Cite this