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Number theoretical peculiarities in the dimension theory of dynamical systems
Authors:J Neunhäuserer
Institution:1. Institut für Theoretische Physik, Technische Universit?t Clausthal, Arnold-Sommerfeld-Str., 38678, Clausthal-Zellerfeld, Germany
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.
Keywords:
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