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Lower entropy factors of sofic systems

Published online by Cambridge University Press:  19 September 2008

Mike Boyle
Mike Boyle
Affiliation:
Department of Mathematics, University of Washington, Seattle, Washington 98195, USA
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Abstract

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A mixing subshift of finite type T is a factor of a sofic shift S of greater entropy if and only if the period of any periodic point of S is divisible by the period of some periodic point of T. Mixing sofic shifts T satisfying this theorem are characterized, as are those mixing sofic shifts for which Krieger's Embedding Theorem holds. These and other results rest on a general method for extending shift-commuting continuous maps into mixing subshifts of finite type.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 3 , Issue 4 , December 1983 , pp. 541 - 557
Copyright
Copyright © Cambridge University Press 1983

References

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