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

Jörg Neunhäuserer

doi:10.1142/S0218348X08004113

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

Jörg Neunhäuserer

Hochschule für Technik und Wirtschaft Berlin

Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › Begutachtung

4 Zitate (Scopus)

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.

Originalsprache	Englisch
Zeitschrift	Fractals
Jahrgang	16
Ausgabenummer	4
Seiten (von - bis)	299-304
Seitenumfang	6
DOIs	https://doi.org/10.1142/S0218348X08004113
Publikationsstatus	Erschienen - 01.12.2008
Extern publiziert	Ja

Fachgebiete und Schlagwörter

Mathematik

ASJC Scopus Sachgebiete

Angewandte Mathematik
Geometrie und Topologie
Modellierung und Simulation
Ingenieurwesen (insg.)
Informatik (insg.)

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10.1142/S0218348X08004113

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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.",

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KW - Mathematics

KW - Absolute continuity

KW - Self-similar measures

KW - Transverselity

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

Abstract

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