{"id":"https://openalex.org/W2794924531","doi":"https://doi.org/10.1137/17m1152784","title":"Opinion Formation Models with Heterogeneous Persuasion and Zealotry","display_name":"Opinion Formation Models with Heterogeneous Persuasion and Zealotry","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2794924531","doi":"https://doi.org/10.1137/17m1152784","mag":"2794924531"},"language":"en","primary_location":{"id":"doi:10.1137/17m1152784","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1152784","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1803.10114","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002073229","display_name":"Mayte P\u00e9rez\u2010Llanos","orcid":"https://orcid.org/0000-0001-9249-2281"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Mayte P\u00e9rez-Llanos","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050939013","display_name":"Juan Pablo Pinasco","orcid":"https://orcid.org/0000-0002-6906-9239"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Juan P. Pinasco","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-6906-9239","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101643813","display_name":"Nicolas Saintier","orcid":"https://orcid.org/0000-0002-0521-4361"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nicolas Saintier","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5011380527","display_name":"Anal\u00eda Silva","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Anal\u00eda Silva","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5002073229"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.04483806,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"50","issue":"5","first_page":"4812","last_page":"4837"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":1.0,"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":1.0,"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":0.9947999715805054,"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/T11804","display_name":"Quantum many-body systems","score":0.9886999726295471,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/persuasion","display_name":"Persuasion","score":0.9338462948799133},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.559867262840271},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5365697145462036},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5077551603317261},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.485489159822464},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4467169940471649},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.42703548073768616},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.4113898277282715},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3847629129886627},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3425212800502777},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.22981616854667664},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16902175545692444},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1568712294101715},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.09427115321159363},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.09276777505874634},{"id":"https://openalex.org/keywords/social-psychology","display_name":"Social psychology","score":0.09245774149894714}],"concepts":[{"id":"https://openalex.org/C2781310500","wikidata":"https://www.wikidata.org/wiki/Q1231428","display_name":"Persuasion","level":2,"score":0.9338462948799133},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.559867262840271},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5365697145462036},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5077551603317261},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.485489159822464},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4467169940471649},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.42703548073768616},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.4113898277282715},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3847629129886627},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3425212800502777},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.22981616854667664},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16902175545692444},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1568712294101715},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.09427115321159363},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.09276777505874634},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.09245774149894714},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/17m1152784","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1152784","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1803.10114","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1803.10114","pdf_url":"https://arxiv.org/pdf/1803.10114","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":"mag:2794924531","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1803.10114.pdf","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1803.10114","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1803.10114","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":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1803.10114","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1803.10114","pdf_url":"https://arxiv.org/pdf/1803.10114","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":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5799999833106995}],"awards":[{"id":"https://openalex.org/G1153891865","display_name":null,"funder_award_id":"PIP 11220150100032CO","funder_id":"https://openalex.org/F4320321594","funder_display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas"},{"id":"https://openalex.org/G187850212","display_name":null,"funder_award_id":"PIP 11220150100032CO","funder_id":"https://openalex.org/F4320334832","funder_display_name":"Agencia Nacional de Promoci\u00f3n Cient\u00edfica y Tecnol\u00f3gica"},{"id":"https://openalex.org/G2439265903","display_name":null,"funder_award_id":"CONICET","funder_id":"https://openalex.org/F4320323257","funder_display_name":"Universidad de Buenos Aires"},{"id":"https://openalex.org/G360452579","display_name":null,"funder_award_id":"PICT2014","funder_id":"https://openalex.org/F4320334832","funder_display_name":"Agencia Nacional de Promoci\u00f3n Cient\u00edfica y Tecnol\u00f3gica"},{"id":"https://openalex.org/G4169740191","display_name":null,"funder_award_id":"PIP 11220150100032CO","funder_id":"https://openalex.org/F4320323257","funder_display_name":"Universidad de Buenos Aires"},{"id":"https://openalex.org/G4794601251","display_name":null,"funder_award_id":"20020150100154BA","funder_id":"https://openalex.org/F4320323257","funder_display_name":"Universidad de Buenos Aires"},{"id":"https://openalex.org/G5264707479","display_name":null,"funder_award_id":"PICT2012 0153","funder_id":"https://openalex.org/F4320334832","funder_display_name":"Agencia Nacional de Promoci\u00f3n Cient\u00edfica y Tecnol\u00f3gica"},{"id":"https://openalex.org/G6331259514","display_name":null,"funder_award_id":"5478/1438","funder_id":"https://openalex.org/F4320321594","funder_display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas"},{"id":"https://openalex.org/G6667309791","display_name":null,"funder_award_id":"PICT2012-0153","funder_id":"https://openalex.org/F4320334832","funder_display_name":"Agencia Nacional de Promoci\u00f3n Cient\u00edfica y Tecnol\u00f3gica"},{"id":"https://openalex.org/G7104457603","display_name":null,"funder_award_id":"11220150100032CO","funder_id":"https://openalex.org/F4320321594","funder_display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas"},{"id":"https://openalex.org/G7378882120","display_name":null,"funder_award_id":"CONICET","funder_id":"https://openalex.org/F4320334832","funder_display_name":"Agencia Nacional de Promoci\u00f3n Cient\u00edfica y Tecnol\u00f3gica"},{"id":"https://openalex.org/G7497991082","display_name":null,"funder_award_id":"20020130100283BA","funder_id":"https://openalex.org/F4320323257","funder_display_name":"Universidad de Buenos Aires"},{"id":"https://openalex.org/G7577831393","display_name":null,"funder_award_id":"PICT2014-1771","funder_id":"https://openalex.org/F4320334832","funder_display_name":"Agencia Nacional de Promoci\u00f3n Cient\u00edfica y Tecnol\u00f3gica"}],"funders":[{"id":"https://openalex.org/F4320311362","display_name":"Universidad Nacional de San Luis","ror":"https://ror.org/00mczdx43"},{"id":"https://openalex.org/F4320321594","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59"},{"id":"https://openalex.org/F4320323257","display_name":"Universidad de Buenos Aires","ror":"https://ror.org/0081fs513"},{"id":"https://openalex.org/F4320334832","display_name":"Agencia Nacional de Promoci\u00f3n Cient\u00edfica y Tecnol\u00f3gica","ror":"https://ror.org/03stxzb56"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W28106125","https://openalex.org/W42177371","https://openalex.org/W574121409","https://openalex.org/W574726648","https://openalex.org/W633971824","https://openalex.org/W1527547879","https://openalex.org/W1534539087","https://openalex.org/W1563673697","https://openalex.org/W1564951438","https://openalex.org/W1582135188","https://openalex.org/W1585160083","https://openalex.org/W1604048358","https://openalex.org/W1940741659","https://openalex.org/W1965044289","https://openalex.org/W1969871566","https://openalex.org/W1980591506","https://openalex.org/W1982133615","https://openalex.org/W1982839492","https://openalex.org/W1990989681","https://openalex.org/W2006582871","https://openalex.org/W2007817872","https://openalex.org/W2019817112","https://openalex.org/W2020979402","https://openalex.org/W2026873879","https://openalex.org/W2028672339","https://openalex.org/W2028923743","https://openalex.org/W2030364655","https://openalex.org/W2034235887","https://openalex.org/W2035184790","https://openalex.org/W2045580222","https://openalex.org/W2051118076","https://openalex.org/W2060634340","https://openalex.org/W2061521749","https://openalex.org/W2062484908","https://openalex.org/W2065357833","https://openalex.org/W2069319053","https://openalex.org/W2083689991","https://openalex.org/W2085436081","https://openalex.org/W2106218922","https://openalex.org/W2107372022","https://openalex.org/W2120595853","https://openalex.org/W2123843201","https://openalex.org/W2129462326","https://openalex.org/W2154522909","https://openalex.org/W2169940073","https://openalex.org/W2170621079","https://openalex.org/W2345879204","https://openalex.org/W2748240155","https://openalex.org/W3098340595","https://openalex.org/W3102101928","https://openalex.org/W3102103731"],"related_works":["https://openalex.org/W3149186981","https://openalex.org/W2963298238","https://openalex.org/W2098918961","https://openalex.org/W1575801857","https://openalex.org/W3155046169","https://openalex.org/W2952539045","https://openalex.org/W3125370915","https://openalex.org/W2625207212","https://openalex.org/W3102551942","https://openalex.org/W2310889002","https://openalex.org/W2791670716","https://openalex.org/W3159931308","https://openalex.org/W2187411314","https://openalex.org/W2968063690","https://openalex.org/W134880032","https://openalex.org/W2971673711","https://openalex.org/W3200917680","https://openalex.org/W2272012554","https://openalex.org/W3124948859","https://openalex.org/W2061027863"],"abstract_inverted_index":{"In":[0,42],"this":[1],"work":[2],"an":[3,33],"opinion":[4],"formation":[5],"model":[6,45],"with":[7,78],"heterogeneous":[8],"agents":[9,51,65,145],"is":[10,14,72,136,148],"proposed.":[11],"Each":[12],"agent":[13],"supposed":[15],"to":[16,36,134,138],"have":[17],"a":[18,58,75,79,106,149],"different":[19,157],"power":[20,118],"of":[21,29,64,69,89,95,99,102,112,119,127,143],"persuasion,":[22],"as":[23,25],"well":[24],"his/her":[26],"own":[27],"level":[28],"zealotry,":[30],"that":[31,52],"is,":[32],"individual":[34],"willingness":[35],"be":[37],"convinced":[38],"by":[39,74,116],"other":[40],"agents.":[41],"addition,":[43],"our":[44],"includes":[46],"zealots":[47],"or":[48],"stubborn":[49,103,144],"agents,":[50,96,104],"never":[53],"change":[54],"opinions.":[55],"We":[56,83],"derive":[57],"Bolzmann-like":[59],"equation":[60,77],"for":[61],"the":[62,67,85,92,100,110,125,132,141],"distribution":[63,94,101],"on":[66,124],"space":[68],"opinions,":[70,114],"which":[71,97],"approximated":[73],"transport":[76],"nonlocal":[80],"drift":[81],"term.":[82],"study":[84],"long-time":[86],"asymptotic":[87],"behavior":[88],"solutions,":[90],"characterizing":[91],"limit":[93],"consists":[98],"plus":[105],"delta":[107],"function":[108],"at":[109],"mean":[111],"their":[113,117],"weighted":[115],"persuasion.":[120],"Moreover,":[121],"explicit":[122],"bounds":[123],"rate":[126],"convergence":[128,135],"are":[129],"given,":[130],"and":[131],"time":[133],"shown":[137],"decrease":[139],"when":[140],"number":[142],"increases.":[146],"This":[147],"remarkable":[150],"fact":[151],"observed":[152],"in":[153,156],"agent-based":[154],"simulations":[155],"works.":[158]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}