Number theoretical peculiarities in the dimension theory of dynamical systems |
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Authors: | J. Neunhäuserer |
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Affiliation: | 1. Institut für Theoretische Physik, Technische Universit?t Clausthal, Arnold-Sommerfeld-Str., 38678, Clausthal-Zellerfeld, Germany
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Abstract: | We show that dimensional theoretical properties of dynamical systems can considerably change because of number theoretical peculiarities of some parameter values. Supported by “DFG-Schwerpunktprogramm — Dynamik: Analysis, effiziente Simulation und Ergodentheorie”. We refer to the book of Falconer [6] for an introduction to dimension theory and recommend the book of Pesin [17] for the dimension theory of dynamical systems. |
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