On the Entropy of a Two Step Random Fibonacci Substitution

Nilsson J (2013)
Entropy 15(9): 3312-3324.

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Zeitschriftenaufsatz | Veröffentlicht | Englisch
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Abstract / Bemerkung
We consider a random generalization of the classical Fibonacci substitution. The substitution we consider is defined as the rule mapping, a → baa and b → ab, with probability , and → ba, with probability 1 – p for 0 < p < 1, and where the random rule is applied each time it acts on a . We show that the topological entropy of this object is given by the growth rate of the set of inflated random Fibonacci words, and we exactly calculate its value.
Erscheinungsjahr
Zeitschriftentitel
Entropy
Band
15
Zeitschriftennummer
9
Seite
3312-3324
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eISSN
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Article Processing Charge funded by the Deutsche Forschungsgemeinschaft and the Open Access Publication Fund of Bielefeld University.
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Nilsson J. On the Entropy of a Two Step Random Fibonacci Substitution. Entropy. 2013;15(9):3312-3324.
Nilsson, J. (2013). On the Entropy of a Two Step Random Fibonacci Substitution. Entropy, 15(9), 3312-3324. doi:10.3390/e15093312
Nilsson, J. (2013). On the Entropy of a Two Step Random Fibonacci Substitution. Entropy 15, 3312-3324.
Nilsson, J., 2013. On the Entropy of a Two Step Random Fibonacci Substitution. Entropy, 15(9), p 3312-3324.
J. Nilsson, “On the Entropy of a Two Step Random Fibonacci Substitution”, Entropy, vol. 15, 2013, pp. 3312-3324.
Nilsson, J.: On the Entropy of a Two Step Random Fibonacci Substitution. Entropy. 15, 3312-3324 (2013).
Nilsson, Johan. “On the Entropy of a Two Step Random Fibonacci Substitution”. Entropy 15.9 (2013): 3312-3324.
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arXiv: 1303.2526

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