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Measures of maximal entropy of bounded density shifts

2024
journal article
article
10.1017/etds.2024.6
Journal
Ergodic Theory and Dynamical Systems
140
Author
Garcia Ramos Aguilar Felipe

Pavlov Ronnie

Reyes Carlos
Volume
44
Number
10
Pages
2960-2974
ISSN
0143-3857
eISSN
1469-4417
Keywords in English

bounded density shifts

intrinsic ergodicity

measure of maximal entropy

entropy minimality

URL
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/02FB57B302DB15C4DB6A0477DA45B63C/S0143385724000063a.pdf/measures-of-maximal-entropy-of-bounded-density-shifts.pdf
Access date
2024-11-04
Language
English
Journal language
English
Abstract in English

We find sufficient conditions for bounded density shifts to have a unique measure of maximal entropy. We also prove that every measure of maximal entropy of a bounded density shift is fully supported. As a consequence of this, we obtain that bounded density shifts are surjunctive.

Affiliation
Wydział Matematyki i Informatyki : Instytut Matematyki
dc.abstract.enWe find sufficient conditions for bounded density shifts to have a unique measure of maximal entropy. We also prove that every measure of maximal entropy of a bounded density shift is fully supported. As a consequence of this, we obtain that bounded density shifts are surjunctive.
dc.affiliationWydział Matematyki i Informatyki : Instytut Matematyki
dc.contributor.authorGarcia Ramos Aguilar, Felipe - 476744
dc.contributor.authorPavlov, Ronnie
dc.contributor.authorReyes, Carlos
dc.date.accession2024-11-04
dc.date.accessioned2024-11-04T13:11:33Z
dc.date.available2024-11-04T13:11:33Z
dc.date.createdat2024-11-04T10:18:52Zen
dc.date.issued2024
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.number10
dc.description.physical2960-2974
dc.description.sponsorshipidubidub_yes
dc.description.versionostateczna wersja wydawcy
dc.description.volume44
dc.identifier.doi10.1017/etds.2024.6
dc.identifier.eissn1469-4417
dc.identifier.issn0143-3857
dc.identifier.projectU1U/W16/NO/01.03
dc.identifier.urihttps://ruj.uj.edu.pl/handle/item/459728
dc.identifier.weblinkhttps://www.cambridge.org/core/services/aop-cambridge-core/content/view/02FB57B302DB15C4DB6A0477DA45B63C/S0143385724000063a.pdf/measures-of-maximal-entropy-of-bounded-density-shifts.pdf
dc.languageeng
dc.language.containereng
dc.rightsUdzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
dc.rights.licenceCC-BY
dc.rights.simpleviewWolny dostęp
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/legalcode.pl
dc.share.typeinne
dc.subject.enbounded density shifts
dc.subject.enintrinsic ergodicity
dc.subject.enmeasure of maximal entropy
dc.subject.enentropy minimality
dc.subtypeArticle
dc.titleMeasures of maximal entropy of bounded density shifts
dc.title.journalErgodic Theory and Dynamical Systems
dc.typeJournalArticle
dspace.entity.typePublicationen
dc.abstract.en
We find sufficient conditions for bounded density shifts to have a unique measure of maximal entropy. We also prove that every measure of maximal entropy of a bounded density shift is fully supported. As a consequence of this, we obtain that bounded density shifts are surjunctive.
dc.affiliation
Wydział Matematyki i Informatyki : Instytut Matematyki
dc.contributor.author
Garcia Ramos Aguilar, Felipe - 476744
dc.contributor.author
Pavlov, Ronnie
dc.contributor.author
Reyes, Carlos
dc.date.accession
2024-11-04
dc.date.accessioned
2024-11-04T13:11:33Z
dc.date.available
2024-11-04T13:11:33Z
dc.date.createdaten
2024-11-04T10:18:52Z
dc.date.issued
2024
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.number
10
dc.description.physical
2960-2974
dc.description.sponsorshipidub
idub_yes
dc.description.version
ostateczna wersja wydawcy
dc.description.volume
44
dc.identifier.doi
10.1017/etds.2024.6
dc.identifier.eissn
1469-4417
dc.identifier.issn
0143-3857
dc.identifier.project
U1U/W16/NO/01.03
dc.identifier.uri
https://ruj.uj.edu.pl/handle/item/459728
dc.identifier.weblink
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/02FB57B302DB15C4DB6A0477DA45B63C/S0143385724000063a.pdf/measures-of-maximal-entropy-of-bounded-density-shifts.pdf
dc.language
eng
dc.language.container
eng
dc.rights
Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
dc.rights.licence
CC-BY
dc.rights.simpleview
Wolny dostęp
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/legalcode.pl
dc.share.type
inne
dc.subject.en
bounded density shifts
dc.subject.en
intrinsic ergodicity
dc.subject.en
measure of maximal entropy
dc.subject.en
entropy minimality
dc.subtype
Article
dc.title
Measures of maximal entropy of bounded density shifts
dc.title.journal
Ergodic Theory and Dynamical Systems
dc.type
JournalArticle
dspace.entity.typeen
Publication
Affiliations
Wydział Matematyki i Informatyki
Garcia Ramos Aguilar, Felipe
mathematics
No affiliation
Pavlov, Ronnie
Reyes, Carlos

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