{"id":"https://openalex.org/W3006659292","doi":"https://doi.org/10.1007/s11134-021-09714-x","title":"The proportion of the population never hearing a rumour","display_name":"The proportion of the population never hearing a rumour","publication_year":2021,"publication_date":"2021-09-03","ids":{"openalex":"https://openalex.org/W3006659292","doi":"https://doi.org/10.1007/s11134-021-09714-x","mag":"3006659292"},"language":"en","primary_location":{"id":"doi:10.1007/s11134-021-09714-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11134-021-09714-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11134-021-09714-x.pdf","source":{"id":"https://openalex.org/S148503350","display_name":"Queueing Systems","issn_l":"0257-0130","issn":["0257-0130","1572-9443"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Queueing Systems","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11134-021-09714-x.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015223736","display_name":"Yuchen Duan","orcid":null},"institutions":[{"id":"https://openalex.org/I36234482","display_name":"University of Bristol","ror":"https://ror.org/0524sp257","country_code":"GB","type":"education","lineage":["https://openalex.org/I36234482"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Y. Duan","raw_affiliation_strings":["University of Bristol, Bristol, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bristol, Bristol, UK","institution_ids":["https://openalex.org/I36234482"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028740271","display_name":"Ayalvadi Ganesh","orcid":"https://orcid.org/0000-0003-3000-0434"},"institutions":[{"id":"https://openalex.org/I36234482","display_name":"University of Bristol","ror":"https://ror.org/0524sp257","country_code":"GB","type":"education","lineage":["https://openalex.org/I36234482"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"A. Ganesh","raw_affiliation_strings":["University of Bristol, Bristol, UK"],"raw_orcid":"https://orcid.org/0000-0003-3000-0434","affiliations":[{"raw_affiliation_string":"University of Bristol, Bristol, UK","institution_ids":["https://openalex.org/I36234482"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5015223736"],"corresponding_institution_ids":["https://openalex.org/I36234482"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00906214,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"99","issue":"3-4","first_page":"231","last_page":"241"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9980999827384949,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9980999827384949,"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9965000152587891,"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":0.9830999970436096,"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/limiting","display_name":"Limiting","score":0.8269115686416626},{"id":"https://openalex.org/keywords/infinity","display_name":"Infinity","score":0.7495783567428589},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.6696813106536865},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.6172524094581604},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4172234833240509},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3811293840408325},{"id":"https://openalex.org/keywords/demography","display_name":"Demography","score":0.35317981243133545},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3242669701576233},{"id":"https://openalex.org/keywords/sociology","display_name":"Sociology","score":0.18854638934135437},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1367751657962799},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12888488173484802},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09934622049331665}],"concepts":[{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.8269115686416626},{"id":"https://openalex.org/C7321624","wikidata":"https://www.wikidata.org/wiki/Q205","display_name":"Infinity","level":2,"score":0.7495783567428589},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.6696813106536865},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.6172524094581604},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4172234833240509},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3811293840408325},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.35317981243133545},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3242669701576233},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.18854638934135437},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1367751657962799},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12888488173484802},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09934622049331665},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"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":7,"locations":[{"id":"doi:10.1007/s11134-021-09714-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11134-021-09714-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11134-021-09714-x.pdf","source":{"id":"https://openalex.org/S148503350","display_name":"Queueing Systems","issn_l":"0257-0130","issn":["0257-0130","1572-9443"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Queueing Systems","raw_type":"journal-article"},{"id":"pmh:oai:research-information.bris.ac.uk:openaire_cris_publications/f3261261-4e69-4ea8-adec-40bf1649016a","is_oa":true,"landing_page_url":"https://research-information.bris.ac.uk/en/publications/f3261261-4e69-4ea8-adec-40bf1649016a","pdf_url":null,"source":{"id":"https://openalex.org/S4306400895","display_name":"Bristol Research (University of Bristol)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I36234482","host_organization_name":"University of Bristol","host_organization_lineage":["https://openalex.org/I36234482"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Duan, Y & Ganesh, A J 2021, 'The proportion of the population never hearing a rumour', Queueing Systems, vol. 99. https://doi.org/10.48550/arXiv.2002.06821, https://doi.org/10.1007/s11134-021-09714-x","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:arXiv.org:2002.06821","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2002.06821","pdf_url":"https://arxiv.org/pdf/2002.06821","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":null,"raw_type":"text"},{"id":"pmh:oai:research-information.bris.ac.uk:publications/f3261261-4e69-4ea8-adec-40bf1649016a","is_oa":true,"landing_page_url":"http://hdl.handle.net/1983/f3261261-4e69-4ea8-adec-40bf1649016a","pdf_url":"https://arxiv.org/abs/2002.06821","source":{"id":"https://openalex.org/S4306400895","display_name":"Bristol Research (University of Bristol)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I36234482","host_organization_name":"University of Bristol","host_organization_lineage":["https://openalex.org/I36234482"],"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":"Duan, Y & Ganesh, A J 2021, 'The proportion of the population never hearing a rumour', Queueing Systems, vol. 99. https://doi.org/10.48550/arXiv.2002.06821, https://doi.org/10.1007/s11134-021-09714-x","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"mag:3006659292","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2002.06821.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":"pmh:oai:RePEc:spr:queues:v:99:y:2021:i:3:d:10.1007_s11134-021-09714-x","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s11134-021-09714-x","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"doi:10.48550/arxiv.2002.06821","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2002.06821","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-journal"}],"best_oa_location":{"id":"doi:10.1007/s11134-021-09714-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11134-021-09714-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11134-021-09714-x.pdf","source":{"id":"https://openalex.org/S148503350","display_name":"Queueing Systems","issn_l":"0257-0130","issn":["0257-0130","1572-9443"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Queueing Systems","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.5799999833106995,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3006659292.pdf","grobid_xml":"https://content.openalex.org/works/W3006659292.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W29843464","https://openalex.org/W1992441697","https://openalex.org/W2038562061","https://openalex.org/W2095520941","https://openalex.org/W2314479238","https://openalex.org/W2322930689","https://openalex.org/W2326969478","https://openalex.org/W3004009605","https://openalex.org/W3004614309"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"Sudbury":[1],"(J":[2],"Appl":[3],"Prob":[4],"22:443\u2013446,":[5],"1985)":[6],"showed":[7],"for":[8],"the":[9,16,19,23,37,45,51],"Maki\u2013Thompson":[10,52],"model":[11],"of":[12,18,50],"rumour":[13,24],"spreading":[14],"that":[15],"proportion":[17],"population":[20,38],"never":[21],"hearing":[22],"converges":[25],"in":[26],"probability":[27],"to":[28,34,41,47],"a":[29,48],"limiting":[30],"constant":[31],"(approximately":[32],"equal":[33],"0.203)":[35],"as":[36],"size":[39],"tends":[40],"infinity.":[42],"We":[43],"extend":[44],"analysis":[46],"generalisation":[49],"model.":[53]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}