Entropy-approachability for transitive Markov shifts over infinite alphabet

Takahasi, Hiroki

doi:10.1090/proc/14637

Entropy-approachability for transitive Markov shifts over infinite alphabet
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Proc. Amer. Math. Soc. 148 (2020), 3847-3857 Request permission

Abstract:

For a transitive (irreducible) topological Markov shift over an infinite alphabet, we show that any invariant Borel probability measure can be approximated in the weak*-topology by ergodic ones with similar entropy supported on compact sets.

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