{"id":"https://openalex.org/W7220656642","doi":"https://doi.org/10.48550/arxiv.2610.04530","title":"The broadcast voter model: Stationary measures","display_name":"The broadcast voter model: Stationary measures","publication_year":2026,"publication_date":"2026-10-03","ids":{"openalex":"https://openalex.org/W7220656642","doi":"https://doi.org/10.48550/arxiv.2610.04530"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.04530","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.04530","pdf_url":"https://arxiv.org/pdf/2610.04530","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.04530","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5114415106","display_name":"Jhon Astoquillca","orcid":"https://orcid.org/0000-0002-8913-3867","observed_orcids":["https://orcid.org/0000-0002-8913-3867"]},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Astoquillca, Jhon","raw_affiliation_strings":["Institute of Mathematics , Statistics and Computer Science , University of S\u00e3o Paulo"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics , Statistics and Computer Science , University of S\u00e3o Paulo","institution_ids":["https://openalex.org/I17974374"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5157420192","display_name":"Adri\u00e1n Gonz\u00e1lez Casanova","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I55732556","display_name":"Arizona State University","ror":"https://ror.org/03efmqc40","country_code":"US","type":"education","lineage":["https://openalex.org/I55732556"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Casanova, Adri\u00e1n Gonz\u00e1lez","raw_affiliation_strings":["School of Mathematical and Statistical Sciences , Arizona State University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical and Statistical Sciences , Arizona State University","institution_ids":["https://openalex.org/I55732556"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5157738353","display_name":"Renato S. dos Santos","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Santos, Renato S. dos","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":9.999999747378752e-05,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":9.999999747378752e-05,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stationary-measures","display_name":"stationary measures","score":0.7459999918937683},{"id":"https://openalex.org/keywords/coalescing-random-walks","display_name":"coalescing random walks","score":0.8830000162124634},{"id":"https://openalex.org/keywords/kingman-coalescent","display_name":"Kingman coalescent","score":0.8109999895095825},{"id":"https://openalex.org/keywords/multiple-mergers","display_name":"multiple mergers","score":0.8270000219345093},{"id":"https://openalex.org/keywords/bounded-harmonic-functions","display_name":"bounded harmonic functions","score":0.7540000081062317},{"id":"https://openalex.org/keywords/nearest-neighbor-random-walk","display_name":"nearest-neighbor random walk","score":0.7229999899864197},{"id":"https://openalex.org/keywords/dual-system","display_name":"dual system","score":0.38499999046325684},{"id":"https://openalex.org/keywords/opinion-dynamics","display_name":"opinion dynamics","score":0.5120000243186951}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7817999720573425},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7226999998092651},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.5587000250816345},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.5379999876022339},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4997999966144562},{"id":"https://openalex.org/C2781396049","wikidata":"https://www.wikidata.org/wiki/Q7942158","display_name":"Voter model","level":2,"score":0.4408000111579895},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.384799987077713},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.36820000410079956},{"id":"https://openalex.org/C90377204","wikidata":"https://www.wikidata.org/wiki/Q1052594","display_name":"Uniform boundedness","level":3,"score":0.3407000005245209},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.33799999952316284},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.33469998836517334},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.3172000050544739},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.310699999332428},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.30889999866485596},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.30149999260902405},{"id":"https://openalex.org/C21031990","wikidata":"https://www.wikidata.org/wiki/Q355020","display_name":"Probability measure","level":2,"score":0.3010999858379364},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.30079999566078186},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.298799991607666},{"id":"https://openalex.org/C13929819","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Random function","level":3,"score":0.29319998621940613},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.2921000123023987},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.2791999876499176},{"id":"https://openalex.org/C98951983","wikidata":"https://www.wikidata.org/wiki/Q7604341","display_name":"Stationary distribution","level":3,"score":0.27889999747276306},{"id":"https://openalex.org/C121704057","wikidata":"https://www.wikidata.org/wiki/Q352070","display_name":"Collision","level":2,"score":0.2759000062942505},{"id":"https://openalex.org/C110405555","wikidata":"https://www.wikidata.org/wiki/Q1192209","display_name":"Stationary process","level":2,"score":0.27559998631477356},{"id":"https://openalex.org/C11829167","wikidata":"https://www.wikidata.org/wiki/Q751292","display_name":"Random binary tree","level":3,"score":0.26969999074935913},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.2671999931335449},{"id":"https://openalex.org/C205301714","wikidata":"https://www.wikidata.org/wiki/Q228249","display_name":"Random measure","level":3,"score":0.26589998602867126},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2621999979019165},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.2556000053882599}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.04530","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.04530","pdf_url":"https://arxiv.org/pdf/2610.04530","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2610.04530","doi":"https://doi.org/10.48550/arxiv.2610.04530","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.04530","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.04530","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.04530","pdf_url":"https://arxiv.org/pdf/2610.04530","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G7287377289","display_name":null,"funder_award_id":"401314/2025-1","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"}],"funders":[{"id":"https://openalex.org/F4320320997","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","ror":"https://ror.org/02ddkpn78"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"},{"id":"https://openalex.org/F4320322980","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de Minas Gerais","ror":"https://ror.org/00nc55f03"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7220656642.pdf","grobid_xml":"https://content.openalex.org/works/W7220656642.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W7154422320"],"related_works":["https://openalex.org/W4403787529","https://openalex.org/W2760902726","https://openalex.org/W2057432915","https://openalex.org/W3099619304","https://openalex.org/W2267256670","https://openalex.org/W3102046668","https://openalex.org/W7095608759","https://openalex.org/W2795873551","https://openalex.org/W6963566344","https://openalex.org/W2576308427"],"abstract_inverted_index":{"The":[0],"classical":[1,66],"voter":[2,41,46,67],"model":[3,68,76],"is":[4,69,77,184],"dual":[5,186],"to":[6,31,52,56,105,177,215,220],"coalescing":[7,190],"random":[8,115,191,198,211,222],"walks,":[9,192],"in":[10,43,153],"much":[11],"the":[12,16,26,29,65,100,106,113,120,123,127,172,178],"same":[13],"way":[14],"that":[15,74,98],"Kingman":[17,30],"coalescent":[18],"describes":[19],"genealogies":[20],"through":[21,131],"binary":[22],"mergers.":[23],"Motivated":[24],"by":[25,60,94],"passage":[27],"from":[28],"the~\\(\u039b\\)-coalescent,":[32],"where":[33],"multiple":[34],"mergers":[35],"are":[36,196],"allowed,":[37],"we":[38,86],"introduce":[39],"the~\\(\u039b\\)-broadcast":[40],"model,":[42],"which":[44,143,201],"a":[45,57,61,88,132,155,185,207],"may":[47,202],"transmit":[48],"its":[49,136],"opinion":[50],"simultaneously":[51],"several":[53],"neighbors":[54],"according":[55,104],"mechanism":[58],"governed":[59],"finite":[62,107,133],"measure~\\(\u039b\\)":[63],"on~\\([0,1]\\);":[64],"recovered":[70],"when~\\(\u039b=\u03b4_0\\).":[71],"We":[72,117,138,167],"show":[73],"our":[75],"well-defined":[78],"on":[79,126,158,164],"general":[80,140],"graphs":[81],"with":[82,160,175,209],"bounded":[83,95,161],"degrees,":[84],"and":[85,151,163,204],"construct":[87],"family":[89],"of":[90,112,122,135,171,188],"stationary":[91,102,124,149,173],"measures~\\({\u03bc_{\u03b1,\u039b}}\\),":[92],"parametrized":[93],"harmonic":[96],"functions,":[97],"characterize":[99],"extremal":[101],"measures":[103,125,150,174],"or":[108],"infinite":[109],"collision":[110,224],"property":[111],"underlying":[114],"walk.":[116],"then":[118],"study":[119],"dependence":[121],"broadcasting":[128],"measure":[129],"$\u039b$":[130],"number":[134],"moments.":[137],"give":[139],"conditions":[141],"under":[142],"different":[144,148],"moment":[145,179],"profiles":[146],"yield":[147],"obtain,":[152],"particular,":[154],"complete":[156],"characterization":[157],"trees":[159],"degrees":[162],"nearest-neighbour~\\(\\mathbb":[165],"Z^d\\),~\\(d\\ge3\\).":[166],"also":[168],"prove":[169],"continuity":[170],"respect":[176],"profile.":[180],"Our":[181],"main":[182],"tool":[183],"system":[187],"coordinated":[189],"whose":[193],"individual":[194],"particles":[195],"simple":[197],"walks":[199,212],"but":[200],"jump":[203],"coalesce":[205],"simultaneously;":[206],"coupling":[208],"independent":[210],"allows":[213],"us":[214],"relate":[216],"their":[217],"long-time":[218],"behaviour":[219],"ordinary":[221],"walk":[223],"properties.":[225]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-07T00:00:00"}
