25 citations · 66 across the 7 of their papers we have counts for
9 papers
Two-block substitutions and morphic words
Michel Dekking, Mike Keane
We consider in general two-block substitutions and their fixed points. We prove that some of them have a simple structure: their fixed points are morphic sequences. Others are intr…
On the conjugacy class of the Fibonacci dynamical system
Michel Dekking, Mike Keane
We characterize the symbolical dynamical systems which are topologically isomorphic to the Fibonacci dynmaical system. We prove that there are infinitely many injective primitive s…
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…
The M/M/1 queue is Bernoulli
Michael Keane, Neil O'Connell
The classical output theorem for the M/M/1 queue, due to Burke (1956), states that the departure process from a stationary M/M/1 queue, in equilibrium, has the same law as the arri…
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…