Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4673322 | Indagationes Mathematicae | 2006 | 7 Pages |
Abstract
We prove that any ℤd shift of finite type with positive topological entropy has a family of subsystems of finite type whose entropies are dense in the interval from zero to the entropy of the original shift. We show a similar result for ℤd sofic shifts, and also show every ℤd sofic shift can be covered by a ℤd shift of finite type arbitrarily close in entropy.
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