24 citations · 33 across the 8 of their papers we have counts for
9 papers · 1 filter
Endomorphisms and automorphisms of minimal symbolic systems with sublinear complexity
Ethan Coven, Reem Yassawi
We show that if the complexity difference function p(n+1)-p(n) of a infinite minimal shift is bounded, then the the automorphism group of the one-sided shift is finite, and the aut…
Topological conjugacy of constant length substitution dynamical systems
Ethan M. Coven, F. Michel Dekking, Michael S. Keane
Primitive constant length substitutions generate minimal symbolic dynamical systems. In this article we present an algorithm which can produce the list of injective substitutions o…
Necessary and sufficient conditions for a dynamical system to be topologically conjugate to a given substitution minimal system
Ethan M. Coven, Andrew Dykstra, Michael Keane +1
We find necessary and sufficient conditions for a dynamical system to be topologically conjugate to any given substitution minimal system, thus extending the results in [CKL] for t…
A short proof of a theorem of Cobham on substitutions
Ethan M. Coven, Andrew Dykstra, Michelle LeMasurier
This paper is concerned with the lengths of constant length substitutions that generate topologically conjugate systems. We show that if the systems are infinite, then these length…
Embedding odometers in cellular automata
Ethan M. Coven, Reem Yassawi
We consider the problem of embedding odometers in one-dimensional cellular automata. We show that (1) every odometer can be be embedded in a gliders with reflecting walls cellular…
A Characterization of the Morse Minimal Set up to Topological Conjugacy
Ethan M. Coven, Michael Keane, Michelle LeMasurier
We establish necessary and sufficient conditions for a dynamical system to be topologically conjugate to the Morse minimal set, the shift orbit closure of the Morse sequence, and c…