Showing math.DSShow all
3 papers · 1 filter
math.DS2012
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…
math.DS2011
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…
math.DS2007
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…