On the conjugacy class of the Fibonacci dynamical system
Dynamical Systems
2017-05-25 v1
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.
Keywords
Cite
@article{arxiv.1608.04487,
title = {On the conjugacy class of the Fibonacci dynamical system},
author = {Michel Dekking and Mike Keane},
journal= {arXiv preprint arXiv:1608.04487},
year = {2017}
}