On the Entropy of a Two Step Random Fibonacci Substitution

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

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Journal Article | Published | English
Abstract
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.
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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.
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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