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math.DS2018
Number theoretical peculiarities in the dimension theory of dynamical systems
Jörg Neunhäuserer
We show that dimensional theoretical properties of dynamical systems can considerably change because of number theoretical peculiarities of some parameter values
math.DS2018
Li-Yorke pairs of full Hausdorff dimension for some chaotic dynamical systems
Jörg Neunhäuserer
We show that for some simple classical chaotic dynamical systems the set of Li-Yorke pairs has full Hausdorff dimension on invariant sets.
math.DS2018
Fractal attractors induced by β-shifts
Jörg Neunhäuserer
We describe a class of fractal attractors induced by β-shifts. We use a coding by these shifts to show that the systems are mixing with topological entropy log βand have an ergodic…