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arXiv · 1807.04857

Dimension theory for linear solenoids

Jörg Neunhäuserer
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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 whether there exists a measure of full dimension.

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Jörg Neunhäuserer. 2018-07-12. Dimension theory for linear solenoids. https://arxiv.org/abs/1807.04857

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