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arXiv · 1807.04491

Fractal attractors induced by \beta-shifts

Jörg Neunhäuserer
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Abstract

We describe a class of fractal attractors induced by \beta-shifts. We use a coding by these shifts to show that the systems are mixing with topological entropy log \beta and have an ergodic measure of full entropy. Moreover we determine the Hausdorff dimension of the attractor.

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Jörg Neunhäuserer. 2018-07-12. Fractal attractors induced by \beta-shifts. https://doi.org/10.1016/j.chaos.2019.03.025

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