Entropy Preservation Under Markov Coding |
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Authors: | Jörg Schmeling |
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Affiliation: | (1) Fachbereich Mathematik und Informatik, Freie Universität Berlin, Arnimallee 2–6, D-14195 Berlin, Germany |
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Abstract: | Using the notion of topological entropy for non-compact sets we prove that for a C1+-map with a finite Markov partition the corresponding coding map preserves topological entropy of subsets. We also provide an example of a piecewise linear conformal repeller with a Markov coding decreasing topological entropy. These results are generalized to the notions of u-dimensions. |
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Keywords: | Markov partitions topological entropy symbolic dynamics |
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