Dimension theory of linear solenoids

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Dimension theory of linear solenoids. / Neunhäuserer, Jörg.
In: Fractals, Vol. 15, No. 1, 03.2007, p. 63-72.

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Neunhäuserer J. Dimension theory of linear solenoids. Fractals. 2007 Mar;15(1):63-72. doi: 10.1142/S0218348X07003423

Bibtex

@article{7873b8181c2645e090dc7a548f10c5ca,
title = "Dimension theory of linear solenoids",
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.",
keywords = "Mathematics, : Solenoid-Like Dynamical Systems, Dimension theory, Measures of Full Dimension",
author = "J{\"o}rg Neunh{\"a}userer",
year = "2007",
month = mar,
doi = "10.1142/S0218348X07003423",
language = "English",
volume = "15",
pages = "63--72",
journal = "Fractals",
issn = "0218-348X",
publisher = "World Scientific Publishing Co. Pte Ltd",
number = "1",

}

RIS

TY - JOUR

T1 - Dimension theory of linear solenoids

AU - Neunhäuserer, Jörg

PY - 2007/3

Y1 - 2007/3

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=34147168693&partnerID=8YFLogxK

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

U2 - 10.1142/S0218348X07003423

DO - 10.1142/S0218348X07003423

M3 - Journal articles

VL - 15

SP - 63

EP - 72

JO - Fractals

JF - Fractals

SN - 0218-348X

IS - 1

ER -