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Entropy and finite generators for locally compact subshifts
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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.
Cambridge University Press (CUP)
Title: Entropy and finite generators for locally compact subshifts
Description:
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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