Dimension theory of linear solenoids

Jörg Neunhäuserer

doi:10.1142/S0218348X07003423

Dimension theory of linear solenoids

Jörg Neunhäuserer

Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › Begutachtung

1 Zitat (Scopus)

Abstract

We develop the dimension theory for a class of linear solenoids, which have a "fractal" attractor. We will find the dimension of the attractor, proof formulas for the dimension of ergodic measures on this attractor and discuss the question of whether there exists a measure of full dimension.

Originalsprache	Englisch
Zeitschrift	Fractals
Jahrgang	15
Ausgabenummer	1
Seiten (von - bis)	63-72
Seitenumfang	10
ISSN	0218-348X
DOIs	https://doi.org/10.1142/S0218348X07003423
Publikationsstatus	Erschienen - 03.2007

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/S0218348X07003423

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abstract = "We develop the dimension theory for a class of linear solenoids, which have a {"}fractal{"} attractor. We will find the dimension of the attractor, proof formulas for the dimension of ergodic measures on this attractor and discuss the question of whether there exists a measure of full dimension.",

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AB - We develop the dimension theory for a class of linear solenoids, which have a "fractal" attractor. We will find the dimension of the attractor, proof formulas for the dimension of ergodic measures on this attractor and discuss the question of whether there exists a measure of full dimension.

KW - Mathematics

KW - : Solenoid-Like Dynamical Systems

KW - Dimension theory

KW - Measures of Full Dimension

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UR - https://www.mendeley.com/catalogue/def1b259-4dac-33bd-ad85-1e866e9ea4ae/

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Dimension theory of linear solenoids

Abstract

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