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

8 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

General Mathematics
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",

year = "2020",

month = sep,

doi = "10.1090/proc/14637",

language = "English",

volume = "148",

pages = "3847--3857",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

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T1 - ENTROPY-APPROACHABILITY for TRANSITIVE MARKOV SHIFTS over INFINITE ALPHABET

AU - Takahasi, Hiroki

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N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85090220097

UR - https://www.scopus.com/pages/publications/85090220097#tab=citedBy

U2 - 10.1090/proc/14637

DO - 10.1090/proc/14637

M3 - Article

AN - SCOPUS:85090220097

SN - 0002-9939

VL - 148

SP - 3847

EP - 3857

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 9

ER -

ENTROPY-APPROACHABILITY for TRANSITIVE MARKOV SHIFTS over INFINITE ALPHABET

Abstract

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