Pressure inequalities for Gibbs measures of countable Markov shifts

René Rühr

doi:10.1080/14689367.2021.1905777

Pressure inequalities for Gibbs measures of countable Markov shifts

René Rühr^*

^*Corresponding author for this work

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

Abstract

We provide a quantification of the uniqueness of Gibbs measure for topologically mixing countable Markov shifts with locally Hölder continuous potentials. Corollaries for speed of convergence for approximation by finite subsystems are also given.

Original language	English
Pages (from-to)	332-339
Number of pages	8
Journal	Dynamical Systems
Volume	36
Issue number	2
DOIs	https://doi.org/10.1080/14689367.2021.1905777
State	Published - 2021
Externally published	Yes

Keywords

Countable Markov Shifts
Gibbs measures
entropy

Access to Document

10.1080/14689367.2021.1905777

Cite this

@article{b5cad3463eaf403cbe8898e007b3ff28,

title = "Pressure inequalities for Gibbs measures of countable Markov shifts",

abstract = "We provide a quantification of the uniqueness of Gibbs measure for topologically mixing countable Markov shifts with locally H{\"o}lder continuous potentials. Corollaries for speed of convergence for approximation by finite subsystems are also given.",

keywords = "Countable Markov Shifts, Gibbs measures, entropy",

author = "Ren{\'e} R{\"u}hr",

note = "Publisher Copyright: {\textcopyright} 2021 Informa UK Limited, trading as Taylor & Francis Group.",

year = "2021",

doi = "10.1080/14689367.2021.1905777",

language = "אנגלית",

volume = "36",

pages = "332--339",

journal = "Dynamical Systems",

issn = "1468-9367",

publisher = "Taylor and Francis Ltd.",

number = "2",

}

TY - JOUR

T1 - Pressure inequalities for Gibbs measures of countable Markov shifts

AU - Rühr, René

PY - 2021

Y1 - 2021

N2 - We provide a quantification of the uniqueness of Gibbs measure for topologically mixing countable Markov shifts with locally Hölder continuous potentials. Corollaries for speed of convergence for approximation by finite subsystems are also given.

AB - We provide a quantification of the uniqueness of Gibbs measure for topologically mixing countable Markov shifts with locally Hölder continuous potentials. Corollaries for speed of convergence for approximation by finite subsystems are also given.

KW - Countable Markov Shifts

KW - Gibbs measures

KW - entropy

UR - http://www.scopus.com/inward/record.url?scp=85105390147&partnerID=8YFLogxK

U2 - 10.1080/14689367.2021.1905777

DO - 10.1080/14689367.2021.1905777

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:85105390147

SN - 1468-9367

VL - 36

SP - 332

EP - 339

JO - Dynamical Systems

JF - Dynamical Systems

IS - 2

ER -

Pressure inequalities for Gibbs measures of countable Markov shifts

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this