On the conjugacy class of the Fibonacci dynamical system
Journal Article
(2017)
Author(s)
F. Michel Dekking (TU Delft - Electrical Engineering, Mathematics and Computer Science)
Michael S. Keane (New York University Shanghai, TU Delft - Electrical Engineering, Mathematics and Computer Science)
Research Group
Applied Probability
DOI related publication
https://doi.org/10.1016/j.tcs.2017.01.009
Final published version
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Publication Year
2017
Language
English
Research Group
Applied Probability
Volume number
668
Pages (from-to)
59-69
Downloads counter
145
Abstract
We characterize the symbolical dynamical systems which are topologically isomorphic to the Fibonacci dynamical system. We prove that there are infinitely many injective primitive substitutions generating a dynamical system in the Fibonacci conjugacy class. In this class there are infinitely many dynamical systems not generated by a substitution. An example is the system generated by doubling the 0's in the infinite Fibonacci word.