Subsystem entropy for ? sofic shifts |
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Authors: | Angela Desai |
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Affiliation: | Department of Mathematics, University of Maryland, College Park, MD 20742-4015, USA |
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Abstract: | We prove that any ?d 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 ?d sofic shifts, and also show every ?d sofic shift can be covered by a ?d shift of finite type arbitrarily close in entropy. |
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Keywords: | 37B 10 |
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