{"id":"https://openalex.org/W2956148842","doi":"https://doi.org/10.1137/19m1273426","title":"Mean-field Analysis of Multipopulation Dynamics with Label Switching","display_name":"Mean-field Analysis of Multipopulation Dynamics with Label Switching","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2956148842","doi":"https://doi.org/10.1137/19m1273426","mag":"2956148842"},"language":"en","primary_location":{"id":"doi:10.1137/19m1273426","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1273426","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/1907.02739","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026939776","display_name":"Marco Morandotti","orcid":"https://orcid.org/0000-0003-3528-6152"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Marco Morandotti","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-3528-6152","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5068960092","display_name":"Francesco Solombrino","orcid":"https://orcid.org/0000-0003-4251-3851"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Francesco Solombrino","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5026939776"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00992152,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"52","issue":"2","first_page":"1427","last_page":"1462"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9988999962806702,"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":0.9988999962806702,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.998199999332428,"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/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.7157473564147949},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.6311279535293579},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.6260143518447876},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5831356644630432},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.561860978603363},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5138881206512451},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49383148550987244},{"id":"https://openalex.org/keywords/mean-field-theory","display_name":"Mean field theory","score":0.468982994556427},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4488610327243805},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.42485445737838745},{"id":"https://openalex.org/keywords/particle","display_name":"Particle (ecology)","score":0.4177745580673218},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4119882881641388},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3998086750507355},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38335269689559937},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2021002173423767},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1648992896080017},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.0770864188671112}],"concepts":[{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.7157473564147949},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.6311279535293579},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.6260143518447876},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5831356644630432},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.561860978603363},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5138881206512451},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49383148550987244},{"id":"https://openalex.org/C202213908","wikidata":"https://www.wikidata.org/wiki/Q626011","display_name":"Mean field theory","level":2,"score":0.468982994556427},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4488610327243805},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.42485445737838745},{"id":"https://openalex.org/C2778517922","wikidata":"https://www.wikidata.org/wiki/Q7140482","display_name":"Particle (ecology)","level":2,"score":0.4177745580673218},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4119882881641388},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3998086750507355},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38335269689559937},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2021002173423767},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1648992896080017},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0770864188671112},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C111368507","wikidata":"https://www.wikidata.org/wiki/Q43518","display_name":"Oceanography","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/19m1273426","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1273426","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:1907.02739","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1907.02739","pdf_url":"https://arxiv.org/pdf/1907.02739","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:2956148842","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1907.02739.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.1907.02739","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1907.02739","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:1907.02739","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1907.02739","pdf_url":"https://arxiv.org/pdf/1907.02739","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","score":0.4300000071525574,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320309590","display_name":"Universit\u00e0 degli Studi di Napoli Federico II","ror":"https://ror.org/05290cv24"},{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320313985","display_name":"Politecnico di Torino","ror":"https://ror.org/00bgk9508"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2956148842.pdf","grobid_xml":"https://content.openalex.org/works/W2956148842.grobid-xml"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W22526216","https://openalex.org/W1015133923","https://openalex.org/W1522579744","https://openalex.org/W1569313452","https://openalex.org/W1582617215","https://openalex.org/W1585160083","https://openalex.org/W1591074427","https://openalex.org/W1966432616","https://openalex.org/W1995622844","https://openalex.org/W2027077768","https://openalex.org/W2028923743","https://openalex.org/W2042391547","https://openalex.org/W2054782334","https://openalex.org/W2058582101","https://openalex.org/W2065124438","https://openalex.org/W2085728653","https://openalex.org/W2112164016","https://openalex.org/W2118573797","https://openalex.org/W2123843201","https://openalex.org/W2136003379","https://openalex.org/W2141916132","https://openalex.org/W2154522909","https://openalex.org/W2157247042","https://openalex.org/W2263278798","https://openalex.org/W2277540907","https://openalex.org/W2402846924","https://openalex.org/W2767731266","https://openalex.org/W2769493840","https://openalex.org/W2903672110","https://openalex.org/W2911407671","https://openalex.org/W2951075058","https://openalex.org/W2962754963","https://openalex.org/W2962756829","https://openalex.org/W2963793411","https://openalex.org/W2963941258","https://openalex.org/W2964061010","https://openalex.org/W2995402642","https://openalex.org/W3023933354","https://openalex.org/W3098576376","https://openalex.org/W3160447208","https://openalex.org/W4254086930","https://openalex.org/W4298044389"],"related_works":["https://openalex.org/W2985879317","https://openalex.org/W2109462896","https://openalex.org/W2574837152","https://openalex.org/W1965361829","https://openalex.org/W2017739483","https://openalex.org/W2519097136","https://openalex.org/W2311900659","https://openalex.org/W2017167543","https://openalex.org/W3102494028","https://openalex.org/W1492515288","https://openalex.org/W2268656019","https://openalex.org/W1978489043","https://openalex.org/W1616665429","https://openalex.org/W3101089900","https://openalex.org/W2079099998","https://openalex.org/W2056009091","https://openalex.org/W3183215498","https://openalex.org/W2621548492","https://openalex.org/W2020198413","https://openalex.org/W2769571434"],"abstract_inverted_index":{"The":[0,10],"mean-field":[1],"analysis":[2],"of":[3,33,47,62,68,74,106],"a":[4,13,18,22,36,63,75,104],"multipopulation":[5],"agent-based":[6],"model":[7,11],"is":[8,50],"performed.":[9],"couples":[12],"particle":[14],"dynamics":[15],"driven":[16],"by":[17],"nonlocal":[19],"velocity":[20],"with":[21],"Markov-type":[23],"jump":[24],"process":[25],"on":[26],"the":[27,45,48,60,71,78,107],"probability":[28],"that":[29],"each":[30],"agent":[31],"has":[32],"belonging":[34],"to":[35],"given":[37],"population.":[38],"A":[39],"general":[40],"functional":[41],"analytic":[42],"framework":[43],"for":[44],"well-posedness":[46],"problem":[49],"established,":[51],"and":[52,65,80,101],"some":[53],"concrete":[54],"applications":[55],"are":[56,99],"presented,":[57],"both":[58],"in":[59,85],"cases":[61],"discrete":[64],"continuous":[66],"set":[67],"labels.":[69],"In":[70],"particular":[72],"case":[73],"leader-follower":[76],"dynamics,":[77],"existence":[79],"approximation":[81],"results":[82],"recently":[83],"obtained":[84],"[G.":[86],"Albi":[87],"et":[88],"al.,":[89],"Math.":[90],"Models":[91],"Methods":[92],"Appl.":[93],"Sci.,":[94],"29":[95],"(2019),":[96],"pp.":[97],"633--679]":[98],"recovered":[100],"generalized":[102],"as":[103],"byproduct":[105],"abstract":[108],"approach":[109],"proposed.":[110]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}