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

Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › Begutachtung

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.

Originalsprache	Englisch
Zeitschrift	Monatshefte für Mathematik
Jahrgang	177
Ausgabenummer	3
Seiten (von - bis)	461-469
Seitenumfang	9
DOIs	https://doi.org/10.1007/s00605-014-0658-7
Publikationsstatus	Erschienen - 12.07.2015

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Mathematik

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Mathematik (insg.)

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10.1007/s00605-014-0658-7

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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",

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doi = "10.1007/s00605-014-0658-7",

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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

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M3 - Journal articles

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JO - Monatshefte für Mathematik

JF - Monatshefte für Mathematik

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Multifractality of overlapping non-uniform self-similar measures

Abstract

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