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arXiv · 1608.04487

On the conjugacy class of the Fibonacci dynamical system

Michel Dekking·Mike Keane
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Abstract

We characterize the symbolical dynamical systems which are topologically isomorphic to the Fibonacci dynmaical 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.

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Michel Dekking, Mike Keane. 2016-08-16. On the conjugacy class of the Fibonacci dynamical system. https://arxiv.org/abs/1608.04487

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