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2013 | 22 |
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On Sequence Entropy of Thue-Morse Shift

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PL
Abstracts
PL
The paper summarizes properties of topological and sequence en- tropy of the Morse shift XM generated by the Thue-Morse sequence tM. The first part is an estimation of growth rate of possible subwords in tM. We show a polynomial upper bound on the number of finite subwords occuring in tM which is Cn2log3 for some constant C > 0. In the second part we prove that the sequence entropy of XM is achieved for the sequence r(i) = 22i − 1.
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Year
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22
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published
2013
online
21 - 05 - 2015
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Publication order reference
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YADDA identifier
bwmeta1.element.ojs-issn-2083-8476-year-2013-volume-22-article-2206
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