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Entropy and finite generators for locally compact subshifts
Published online by Cambridge University Press: 17 April 2001
Abstract
We introduce transition entropy and periodic entropy for locally compact subshifts. Finiteness of both characterizes the existence of a finite generator. Finiteness of the transition entropy characterizes the existence of a generator with bounded degree. We extend Krieger's embedding theorem and characterize the locally compact non-dense subsystems of a (compact) mixing shift of finite type.
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- 1997 Cambridge University Press
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