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Rényi entropy of zeta urns

2023
journal article
article
10.1103/PhysRevE.108.064108
Journal
Physical Review. E
140
Author
Białas Piotr

Burda Zdzisław

Johnston Desmond A.
Volume
108
Number
6
Article ID
064108
ISSN
2470-0045
eISSN
2470-0053
Language
English
Journal language
English
Abstract in English

We calculate analytically the Rényi entropy for the zeta-urn model with a Gibbs measure definition of the microstate probabilities. This allows us to obtain the singularities in the Rényi entropy from those of the thermodynamic potential, which is directly related to the free-energy density of the model. We enumerate the various possible behaviors of the Rényi entropy and its singularities, which depend on both the value of the power law in the zeta urn and the order of the Rényi entropy under consideration.

Affiliation
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Informatyki Stosowanej
Scopus© citations
4
cris.lastimport.wos2024-04-10T03:14:33Z
dc.abstract.enWe calculate analytically the Rényi entropy for the zeta-urn model with a Gibbs measure definition of the microstate probabilities. This allows us to obtain the singularities in the Rényi entropy from those of the thermodynamic potential, which is directly related to the free-energy density of the model. We enumerate the various possible behaviors of the Rényi entropy and its singularities, which depend on both the value of the power law in the zeta urn and the order of the Rényi entropy under consideration.pl
dc.affiliationWydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Informatyki Stosowanejpl
dc.contributor.authorBiałas, Piotr - 127296 pl
dc.contributor.authorBurda, Zdzisławpl
dc.contributor.authorJohnston, Desmond A.pl
dc.date.accessioned2024-02-28T13:22:49Z
dc.date.available2024-02-28T13:22:49Z
dc.date.issued2023pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.number6pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume108pl
dc.identifier.articleid064108pl
dc.identifier.doi10.1103/PhysRevE.108.064108pl
dc.identifier.eissn2470-0053pl
dc.identifier.issn2470-0045pl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/327508
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa*
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/legalcode.pl*
dc.share.typeinne
dc.subtypeArticlepl
dc.titleRényi entropy of zeta urnspl
dc.title.journalPhysical Review. Epl
dc.typeJournalArticlepl
dspace.entity.typePublication
cris.lastimport.wos
2024-04-10T03:14:33Z
dc.abstract.enpl
We calculate analytically the Rényi entropy for the zeta-urn model with a Gibbs measure definition of the microstate probabilities. This allows us to obtain the singularities in the Rényi entropy from those of the thermodynamic potential, which is directly related to the free-energy density of the model. We enumerate the various possible behaviors of the Rényi entropy and its singularities, which depend on both the value of the power law in the zeta urn and the order of the Rényi entropy under consideration.
dc.affiliationpl
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Informatyki Stosowanej
dc.contributor.authorpl
Białas, Piotr - 127296
dc.contributor.authorpl
Burda, Zdzisław
dc.contributor.authorpl
Johnston, Desmond A.
dc.date.accessioned
2024-02-28T13:22:49Z
dc.date.available
2024-02-28T13:22:49Z
dc.date.issuedpl
2023
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.numberpl
6
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
108
dc.identifier.articleidpl
064108
dc.identifier.doipl
10.1103/PhysRevE.108.064108
dc.identifier.eissnpl
2470-0053
dc.identifier.issnpl
2470-0045
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/327508
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
dc.rights.licence
CC-BY
dc.rights.uri*
http://creativecommons.org/licenses/by/4.0/legalcode.pl
dc.share.type
inne
dc.subtypepl
Article
dc.titlepl
Rényi entropy of zeta urns
dc.title.journalpl
Physical Review. E
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations
Wydział Fizyki, Astronomii i Informatyki Stosowanej
Białas, Piotr
No affiliation
Burda, Zdzisław
Johnston, Desmond A.

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Except as otherwise noted, this item is licensed under : Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa

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