{"id":"https://openalex.org/W4394868506","doi":"https://doi.org/10.1109/cdc56724.2024.10886059","title":"Opinion dynamics on signed graphs and graphons: Beyond the piece-wise constant case","display_name":"Opinion dynamics on signed graphs and graphons: Beyond the piece-wise constant case","publication_year":2024,"publication_date":"2024-12-16","ids":{"openalex":"https://openalex.org/W4394868506","doi":"https://doi.org/10.1109/cdc56724.2024.10886059"},"language":"en","primary_location":{"id":"doi:10.1109/cdc56724.2024.10886059","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc56724.2024.10886059","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE 63rd Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2404.08372","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5095740360","display_name":"Raoul Prisant","orcid":null},"institutions":[{"id":"https://openalex.org/I106785703","display_name":"Institut polytechnique de Grenoble","ror":"https://ror.org/05sbt2524","country_code":"FR","type":"education","lineage":["https://openalex.org/I106785703","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210101348","display_name":"Centre Inria de l'Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/00n8d6z93","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210101348"]},{"id":"https://openalex.org/I4210124956","display_name":"GIPSA-Lab","ror":"https://ror.org/02wrme198","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Raoul Prisant","raw_affiliation_strings":["Univ. Grenoble Alpes, CNRS, Inria, Grenoble INP, GIPSA-lab,Grenoble,France,38000"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ. Grenoble Alpes, CNRS, Inria, Grenoble INP, GIPSA-lab,Grenoble,France,38000","institution_ids":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210101348","https://openalex.org/I4210124956","https://openalex.org/I899635006"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077623597","display_name":"Federica Garin","orcid":"https://orcid.org/0000-0002-6950-2119"},"institutions":[{"id":"https://openalex.org/I106785703","display_name":"Institut polytechnique de Grenoble","ror":"https://ror.org/05sbt2524","country_code":"FR","type":"education","lineage":["https://openalex.org/I106785703","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210101348","display_name":"Centre Inria de l'Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/00n8d6z93","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210101348"]},{"id":"https://openalex.org/I4210124956","display_name":"GIPSA-Lab","ror":"https://ror.org/02wrme198","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Federica Garin","raw_affiliation_strings":["Univ. Grenoble Alpes, CNRS, Inria, Grenoble INP, GIPSA-lab,Grenoble,France,38000"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ. Grenoble Alpes, CNRS, Inria, Grenoble INP, GIPSA-lab,Grenoble,France,38000","institution_ids":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210101348","https://openalex.org/I4210124956","https://openalex.org/I899635006"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050626793","display_name":"Paolo Frasca","orcid":"https://orcid.org/0000-0003-0962-3119"},"institutions":[{"id":"https://openalex.org/I106785703","display_name":"Institut polytechnique de Grenoble","ror":"https://ror.org/05sbt2524","country_code":"FR","type":"education","lineage":["https://openalex.org/I106785703","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210101348","display_name":"Centre Inria de l'Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/00n8d6z93","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210101348"]},{"id":"https://openalex.org/I4210124956","display_name":"GIPSA-Lab","ror":"https://ror.org/02wrme198","country_code":"FR","type":"facility","lineage":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210124956","https://openalex.org/I899635006","https://openalex.org/I899635006"]},{"id":"https://openalex.org/I899635006","display_name":"Universit\u00e9 Grenoble Alpes","ror":"https://ror.org/02rx3b187","country_code":"FR","type":"education","lineage":["https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Paolo Frasca","raw_affiliation_strings":["Univ. Grenoble Alpes, CNRS, Inria, Grenoble INP, GIPSA-lab,Grenoble,France,38000"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ. Grenoble Alpes, CNRS, Inria, Grenoble INP, GIPSA-lab,Grenoble,France,38000","institution_ids":["https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210101348","https://openalex.org/I4210124956","https://openalex.org/I899635006"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"5430","last_page":"5435"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9690999984741211,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10557","display_name":"Social Media and Politics","score":0.9678000211715698,"subfield":{"id":"https://openalex.org/subfields/3315","display_name":"Communication"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.7047329545021057},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.543225109577179},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49330082535743713},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33647626638412476},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33508777618408203},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31529152393341064},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20454400777816772},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.10205912590026855}],"concepts":[{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.7047329545021057},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.543225109577179},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49330082535743713},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33647626638412476},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33508777618408203},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31529152393341064},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20454400777816772},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.10205912590026855},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/cdc56724.2024.10886059","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc56724.2024.10886059","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE 63rd Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2404.08372","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2404.08372","pdf_url":"https://arxiv.org/pdf/2404.08372","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:HAL:hal-04694563v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04694563","pdf_url":"https://hal.science/hal-04694563/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://cdc2024.ieeecss.org/","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"doi:10.48550/arxiv.2404.08372","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2404.08372","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2404.08372","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2404.08372","pdf_url":"https://arxiv.org/pdf/2404.08372","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8281691987","display_name":"Continuous methods for the control of large networks","funder_award_id":"ANR-22-CE48-0011","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4394868506.pdf","grobid_xml":"https://content.openalex.org/works/W4394868506.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W273178449","https://openalex.org/W1579509228","https://openalex.org/W1967509640","https://openalex.org/W1975761593","https://openalex.org/W2002276939","https://openalex.org/W2099071366","https://openalex.org/W2105951053","https://openalex.org/W2128242038","https://openalex.org/W2134446119","https://openalex.org/W2580802338","https://openalex.org/W2784072063","https://openalex.org/W2807656928","https://openalex.org/W2815764461","https://openalex.org/W2963530915","https://openalex.org/W2964240066","https://openalex.org/W3004814728","https://openalex.org/W3083024126","https://openalex.org/W3098033226","https://openalex.org/W3099205819","https://openalex.org/W3150841283","https://openalex.org/W3186491528","https://openalex.org/W3208063636","https://openalex.org/W3208604280","https://openalex.org/W3209307638","https://openalex.org/W4206129664","https://openalex.org/W4225837748","https://openalex.org/W4250134109","https://openalex.org/W4281713759","https://openalex.org/W4297750574","https://openalex.org/W4313213892","https://openalex.org/W4366124053","https://openalex.org/W4387298519","https://openalex.org/W4391020246","https://openalex.org/W4394868506","https://openalex.org/W6681283835"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,22,68],"make":[4],"use":[5],"of":[6],"graphon":[7,85],"theory":[8],"to":[9,96,102,110],"study":[10],"opinion":[11,18],"dynamics":[12,19,64,86,90],"on":[13,65,91],"large":[14,92,103],"undirected":[15],"networks.":[16],"The":[17],"models":[20],"that":[21,51,70,83,94,106],"take":[23],"into":[24],"consideration":[25],"allow":[26],"for":[27],"negative":[28],"interactions":[29],"between":[30],"the":[31,44,48,55,59,62,84,89],"individuals,":[32],"i.e.":[33],"competing":[34],"entities":[35],"whose":[36],"opinions":[37],"can":[38],"grow":[39],"apart.":[40],"We":[41,57,80],"consider":[42],"both":[43],"repelling":[45,60],"model":[46,50],"and":[47,61,67,77],"opposing":[49,63],"are":[52,78,107,116],"studied":[53],"in":[54,118],"literature.":[56],"define":[58],"graphons":[66],"show":[69,82],"their":[71],"initial":[72],"value":[73],"problem\u2019s":[74],"solutions":[75],"exist":[76],"unique.":[79],"then":[81],"well":[87],"approximate":[88],"graphs":[93,105],"converge":[95],"a":[97,111],"graphon.":[98,112],"This":[99],"result":[100],"applies":[101],"random":[104],"sampled":[108],"according":[109],"All":[113],"these":[114],"facts":[115],"illustrated":[117],"an":[119],"extended":[120],"numerical":[121],"example.":[122]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2024-04-17T00:00:00"}