ENTROPY-APPROACHABILITY for TRANSITIVE MARKOV SHIFTS over INFINITE ALPHABET

Hiroki Takahasi

doi:10.1090/proc/14637

ENTROPY-APPROACHABILITY for TRANSITIVE MARKOV SHIFTS over INFINITE ALPHABET

Hiroki Takahasi

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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.

Original language	English
Pages (from-to)	3847-3857
Number of pages	11
Journal	Proceedings of the American Mathematical Society
Volume	148
Issue number	9
DOIs	https://doi.org/10.1090/proc/14637
Publication status	Published - 2020 Sept

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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title = "ENTROPY-APPROACHABILITY for TRANSITIVE MARKOV SHIFTS over INFINITE ALPHABET",

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.",

author = "Hiroki Takahasi",

note = "Funding Information: Received by the editors January 3, 2019, and, in revised form, February 6, 2019. 2010 Mathematics Subject Classification. Primary 37A05, 37A35, 37A60. This research was partially supported by the JSPS KAKENHI 19K21835, 20H01811. Publisher Copyright: {\textcopyright} 2020 American Mathematical Society. All rights reserved.",

year = "2020",

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doi = "10.1090/proc/14637",

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PY - 2020/9

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JF - Proceedings of the American Mathematical Society

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ENTROPY-APPROACHABILITY for TRANSITIVE MARKOV SHIFTS over INFINITE ALPHABET

Abstract

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