Opinion Formation in Wikipedia Ising Networks

Autores
Ermann, Leonardo; Frahm, Klaus M.; Shepelyansky, Dima L.
Año de publicación
2025
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the properties of opinion formation on Wikipedia Ising Networks. Each Wikipedia article is represented as a node, and links are formed by citations of one article to another, generating a directed network of a given language edition with millions of nodes. Ising spins are placed at each node, and their orientation up or down is determined by a majority vote of connected neighbors. At the initial stage, there are only a few nodes from two groups with fixed competing opinions up and down, while other nodes are assumed to have no initial opinion with no effect on the vote. The competition of two opinions is modeled by an asynchronous Monte Carlo process converging to a spin-polarized steady-state phase. This phase remains stable with respect to small fluctuations induced by an effective temperature of the Monte Carlo process. The opinion polarization at the steady state provides opinion (spin) preferences for each node. In the framework of this Ising Network Opinion Formation model, we analyze the influence and competition between political leaders, world countries, and social concepts. This approach is also generalized to the competition between three groups of different opinions described by three colors; for example, Donald Trump, Vladimir Putin, and Xi Jinping, or the USA, Russia, and China, within English, Russian, and Chinese editions of Wikipedia of March 2025. We argue that this approach provides a generic description of opinion formation in various complex networks.
Fil: Ermann, Leonardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Constituyentes. Gerencia de Investigación y Aplicaciones; Argentina
Fil: Frahm, Klaus M.. Université Paul Sabatier; Francia
Fil: Shepelyansky, Dima L.. Centre National de la Recherche Scientifique; Francia. Université Paul Sabatier; Francia
Materia
OPINION FORMATION
DIRECTED NETOWRKS
WIKIPEDIA
ISING SPIN
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/286979

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spelling Opinion Formation in Wikipedia Ising NetworksErmann, LeonardoFrahm, Klaus M.Shepelyansky, Dima L.OPINION FORMATIONDIRECTED NETOWRKSWIKIPEDIAISING SPINhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study the properties of opinion formation on Wikipedia Ising Networks. Each Wikipedia article is represented as a node, and links are formed by citations of one article to another, generating a directed network of a given language edition with millions of nodes. Ising spins are placed at each node, and their orientation up or down is determined by a majority vote of connected neighbors. At the initial stage, there are only a few nodes from two groups with fixed competing opinions up and down, while other nodes are assumed to have no initial opinion with no effect on the vote. The competition of two opinions is modeled by an asynchronous Monte Carlo process converging to a spin-polarized steady-state phase. This phase remains stable with respect to small fluctuations induced by an effective temperature of the Monte Carlo process. The opinion polarization at the steady state provides opinion (spin) preferences for each node. In the framework of this Ising Network Opinion Formation model, we analyze the influence and competition between political leaders, world countries, and social concepts. This approach is also generalized to the competition between three groups of different opinions described by three colors; for example, Donald Trump, Vladimir Putin, and Xi Jinping, or the USA, Russia, and China, within English, Russian, and Chinese editions of Wikipedia of March 2025. We argue that this approach provides a generic description of opinion formation in various complex networks.Fil: Ermann, Leonardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Constituyentes. Gerencia de Investigación y Aplicaciones; ArgentinaFil: Frahm, Klaus M.. Université Paul Sabatier; FranciaFil: Shepelyansky, Dima L.. Centre National de la Recherche Scientifique; Francia. Université Paul Sabatier; FranciaMDPI2025-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/286979Ermann, Leonardo; Frahm, Klaus M.; Shepelyansky, Dima L.; Opinion Formation in Wikipedia Ising Networks; MDPI; Information; 16; 9; 9-2025; 1-252078-2489CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/2078-2489/16/9/782info:eu-repo/semantics/altIdentifier/doi/10.3390/info16090782info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-08-25T14:33:02Zoai:ri.conicet.gov.ar:11336/286979instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982026-08-25 14:33:02.827CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Opinion Formation in Wikipedia Ising Networks
title Opinion Formation in Wikipedia Ising Networks
spellingShingle Opinion Formation in Wikipedia Ising Networks
Ermann, Leonardo
OPINION FORMATION
DIRECTED NETOWRKS
WIKIPEDIA
ISING SPIN
title_short Opinion Formation in Wikipedia Ising Networks
title_full Opinion Formation in Wikipedia Ising Networks
title_fullStr Opinion Formation in Wikipedia Ising Networks
title_full_unstemmed Opinion Formation in Wikipedia Ising Networks
title_sort Opinion Formation in Wikipedia Ising Networks
dc.creator.none.fl_str_mv Ermann, Leonardo
Frahm, Klaus M.
Shepelyansky, Dima L.
author Ermann, Leonardo
author_facet Ermann, Leonardo
Frahm, Klaus M.
Shepelyansky, Dima L.
author_role author
author2 Frahm, Klaus M.
Shepelyansky, Dima L.
author2_role author
author
dc.subject.none.fl_str_mv OPINION FORMATION
DIRECTED NETOWRKS
WIKIPEDIA
ISING SPIN
topic OPINION FORMATION
DIRECTED NETOWRKS
WIKIPEDIA
ISING SPIN
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We study the properties of opinion formation on Wikipedia Ising Networks. Each Wikipedia article is represented as a node, and links are formed by citations of one article to another, generating a directed network of a given language edition with millions of nodes. Ising spins are placed at each node, and their orientation up or down is determined by a majority vote of connected neighbors. At the initial stage, there are only a few nodes from two groups with fixed competing opinions up and down, while other nodes are assumed to have no initial opinion with no effect on the vote. The competition of two opinions is modeled by an asynchronous Monte Carlo process converging to a spin-polarized steady-state phase. This phase remains stable with respect to small fluctuations induced by an effective temperature of the Monte Carlo process. The opinion polarization at the steady state provides opinion (spin) preferences for each node. In the framework of this Ising Network Opinion Formation model, we analyze the influence and competition between political leaders, world countries, and social concepts. This approach is also generalized to the competition between three groups of different opinions described by three colors; for example, Donald Trump, Vladimir Putin, and Xi Jinping, or the USA, Russia, and China, within English, Russian, and Chinese editions of Wikipedia of March 2025. We argue that this approach provides a generic description of opinion formation in various complex networks.
Fil: Ermann, Leonardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Constituyentes. Gerencia de Investigación y Aplicaciones; Argentina
Fil: Frahm, Klaus M.. Université Paul Sabatier; Francia
Fil: Shepelyansky, Dima L.. Centre National de la Recherche Scientifique; Francia. Université Paul Sabatier; Francia
description We study the properties of opinion formation on Wikipedia Ising Networks. Each Wikipedia article is represented as a node, and links are formed by citations of one article to another, generating a directed network of a given language edition with millions of nodes. Ising spins are placed at each node, and their orientation up or down is determined by a majority vote of connected neighbors. At the initial stage, there are only a few nodes from two groups with fixed competing opinions up and down, while other nodes are assumed to have no initial opinion with no effect on the vote. The competition of two opinions is modeled by an asynchronous Monte Carlo process converging to a spin-polarized steady-state phase. This phase remains stable with respect to small fluctuations induced by an effective temperature of the Monte Carlo process. The opinion polarization at the steady state provides opinion (spin) preferences for each node. In the framework of this Ising Network Opinion Formation model, we analyze the influence and competition between political leaders, world countries, and social concepts. This approach is also generalized to the competition between three groups of different opinions described by three colors; for example, Donald Trump, Vladimir Putin, and Xi Jinping, or the USA, Russia, and China, within English, Russian, and Chinese editions of Wikipedia of March 2025. We argue that this approach provides a generic description of opinion formation in various complex networks.
publishDate 2025
dc.date.none.fl_str_mv 2025-09
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/286979
Ermann, Leonardo; Frahm, Klaus M.; Shepelyansky, Dima L.; Opinion Formation in Wikipedia Ising Networks; MDPI; Information; 16; 9; 9-2025; 1-25
2078-2489
CONICET Digital
CONICET
url http://hdl.handle.net/11336/286979
identifier_str_mv Ermann, Leonardo; Frahm, Klaus M.; Shepelyansky, Dima L.; Opinion Formation in Wikipedia Ising Networks; MDPI; Information; 16; 9; 9-2025; 1-25
2078-2489
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/2078-2489/16/9/782
info:eu-repo/semantics/altIdentifier/doi/10.3390/info16090782
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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