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arXiv:1807.04857 [math.DS]AbstractReferencesReviewsResources

Dimension theory for linear solenoids

Jörg Neunhäuserer

Published 2018-07-12Version 1

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 whether there exists a measure of full dimension.

Journal: Fractals, vol. 15, no. 1, 63-72, 2007
Categories: math.DS
Subjects: 37C45, 28D20, 28A80
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