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math.DS2009★ 1 cited
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…
math.DS2006★ 2 cited
On the genesis of symbolic dynamics as we know it
Ethan M. Coven, Zbigniew H. Nitecki
WE trace the beginning of symbolic dynamics--the study of the shift dynamical system--as it arose from the use of coding to study recurrence and transitivity properties of geodesic…
math.DS2006★ 24 cited
Every compact metric space that supports a positively expansive homeomorphism is finite
Ethan M. Coven, Michael Keane
We give a simple proof of the title.