{"id":"https://openalex.org/W71815502","doi":null,"title":"The Dawning of the Age of Stochasticity","display_name":"The Dawning of the Age of Stochasticity","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W71815502","mag":"71815502"},"language":"it","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.218.2234","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.218.2234","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.dam.brown.edu/people/mumford/Papers/OverviewPapers/DawningAgeStoch.pdf","raw_type":"text"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112196549","display_name":"David B. Mumford","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"David Mumford","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5112196549"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.8379,"has_fulltext":false,"cited_by_count":79,"citation_normalized_percentile":{"value":0.90962925,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"11","issue":null,"first_page":"107","last_page":"125"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13500","display_name":"Probability and Statistical Research","score":0.9121000170707703,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T13500","display_name":"Probability and Statistical Research","score":0.9121000170707703,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T12170","display_name":"History and Theory of Mathematics","score":0.06430000066757202,"subfield":{"id":"https://openalex.org/subfields/1207","display_name":"History and Philosophy of Science"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T14460","display_name":"Literary, Cultural, Historical Analysis","score":0.009100000374019146,"subfield":{"id":"https://openalex.org/subfields/1211","display_name":"Philosophy"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/randomness","display_name":"randomness","score":0.9169999957084656},{"id":"https://openalex.org/keywords/probability-theory","display_name":"probability theory","score":0.8999999761581421},{"id":"https://openalex.org/keywords/statistical-inference","display_name":"statistical inference","score":0.9610000252723694},{"id":"https://openalex.org/keywords/foundations-of-mathematics","display_name":"foundations of mathematics","score":0.8539999723434448},{"id":"https://openalex.org/keywords/aristotelian-logic","display_name":"Aristotelian logic","score":0.8180000185966492},{"id":"https://openalex.org/keywords/scientific-modeling","display_name":"scientific modeling","score":0.6690000295639038},{"id":"https://openalex.org/keywords/future-of-mathematics","display_name":"future of mathematics","score":0.503000020980835}],"concepts":[{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.6212568283081055},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.6028468608856201},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.5240845084190369},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4304669499397278},{"id":"https://openalex.org/C134261354","wikidata":"https://www.wikidata.org/wiki/Q938438","display_name":"Statistical inference","level":2,"score":0.4301055073738098},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.3552437126636505},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.324241042137146},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2671775221824646},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.2655353546142578},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12553781270980835},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12140542268753052},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.218.2234","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.218.2234","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.dam.brown.edu/people/mumford/Papers/OverviewPapers/DawningAgeStoch.pdf","raw_type":"text"},{"id":"pmh:oai:bibcyt.ucla.edu.ve:T070300011134/15","doi":null,"is_oa":false,"landing_page_url":"http://bibcyt.ucla.edu.ve/cgi-win/be_alex.exe?Acceso=T070300011134/15&Nombrebd=Bciucla","pdf_url":null,"source":{"id":"https://openalex.org/S7407064187","display_name":"UCLA - Biblioteca de Ciencias y Tecnologia Felix Morales Bueno","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I19325673","host_organization_name":"Universidad Centroccidental Lisandro Alvarado","host_organization_lineage":["https://openalex.org/I19325673"],"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":null},{"id":"mag:71815502","doi":null,"is_oa":false,"landing_page_url":"https://www.dam.brown.edu/people/mumford/beyond/papers/2000b--DawningAgeStoch-NC.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4210215524","display_name":"Rendiconti Lincei Matematica e Applicazioni","issn_l":"1120-6330","issn":["1120-6330","1720-0768"],"is_oa":false,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-c","jufo-1","norway-1","oarl","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310316982","host_organization_name":"European Mathematical Society","host_organization_lineage":["https://openalex.org/P4310316982"],"host_organization_lineage_names":["European Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1574225613","https://openalex.org/W1578685895","https://openalex.org/W2017115857","https://openalex.org/W2022601608","https://openalex.org/W2023833210","https://openalex.org/W2038308063","https://openalex.org/W2072405721","https://openalex.org/W2098613108","https://openalex.org/W2163260940","https://openalex.org/W3160881378"],"related_works":["https://openalex.org/W7099467426","https://openalex.org/W2187821119","https://openalex.org/W1986484613","https://openalex.org/W3110587350","https://openalex.org/W586357622","https://openalex.org/W1509562192","https://openalex.org/W624044164","https://openalex.org/W4211166399","https://openalex.org/W2032566985","https://openalex.org/W172695212"],"abstract_inverted_index":{"For":[0],"over":[1,8],"two":[2],"millennia,":[3],"Aristotle's":[4],"logic":[5],"has":[6],"ruled":[7],"the":[9,23,33,67,79,100],"thinking":[10,26,70],"of":[11,22,25,35,66,69,75,81,97],"western":[12],"intellectuals.":[13],"All":[14],"precise":[15],"theories,":[16],"all":[17,96],"scientific":[18,62],"models,":[19,63],"even":[20,78],"models":[21],"process":[24,68],"itself,":[27],"have":[28],"in":[29,48,90,99],"principle":[30],"conformed":[31],"to":[32],"straight-jacket":[34],"logic.":[36],"But":[37],"from":[38],"its":[39],"shady":[40],"beginnings":[41],"devising":[42],"gambling":[43],"strategies":[44],"and":[45,53,71],"counting":[46],"corpses":[47],"medieval":[49],"London,":[50],"probability":[51],"theory":[52],"statistical":[54],"inference":[55],"now":[56],"emerge":[57],"as":[58,72],"better":[59],"foundations":[60,80],"for":[61],"especially":[64],"those":[65],"essential":[73],"ingredients":[74],"theoretical":[76],"mathematics,":[77],"mathematics":[82,98],"itself.":[83],"We":[84],"propose":[85],"that":[86],"this":[87],"sea":[88],"change":[89],"our":[91],"perspective":[92],"will":[93],"affect":[94],"virtually":[95],"next":[101],"century.":[102]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":1}],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2016-06-24T00:00:00"}
