Dimension theory of linear solenoids
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In: Fractals, Vol. 15, No. 1, 03.2007, p. 63-72.
Research output: Journal contributions › Journal articles › Research › peer-review
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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 -