{"id":"https://openalex.org/W2118539172","doi":"https://doi.org/10.1002/rsa.3240020306","title":"A zero\u2010one law for a random subset","display_name":"A zero\u2010one law for a random subset","publication_year":1991,"publication_date":"1991-09-01","ids":{"openalex":"https://openalex.org/W2118539172","doi":"https://doi.org/10.1002/rsa.3240020306","mag":"2118539172"},"language":"en","primary_location":{"id":"doi:10.1002/rsa.3240020306","is_oa":false,"landing_page_url":"https://doi.org/10.1002/rsa.3240020306","pdf_url":null,"source":{"id":"https://openalex.org/S59667848","display_name":"Random Structures and Algorithms","issn_l":"1042-9832","issn":["1042-9832","1098-2418"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Random Structures &amp; Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"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/A5006645619","display_name":"Peter Dolan","orcid":null},"institutions":[{"id":"https://openalex.org/I39661318","display_name":"Bard College","ror":"https://ror.org/04yrgt058","country_code":"US","type":"education","lineage":["https://openalex.org/I39661318"]},{"id":"https://openalex.org/I907500627","display_name":"Ashland (United States)","ror":"https://ror.org/006nxzf98","country_code":"US","type":"company","lineage":["https://openalex.org/I907500627"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Peter Dolan","raw_affiliation_strings":["Bard College, Annandale, NY 12504","Supported by an Asher B. Edelman Fellowship from Bard College"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bard College, Annandale, NY 12504","institution_ids":["https://openalex.org/I39661318"]},{"raw_affiliation_string":"Supported by an Asher B. Edelman Fellowship from Bard College","institution_ids":["https://openalex.org/I907500627"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5006645619"],"corresponding_institution_ids":["https://openalex.org/I39661318","https://openalex.org/I907500627"],"apc_list":{"value":4330,"currency":"USD","value_usd":4330},"apc_paid":null,"fwci":1.7005,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.86351472,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":"3","first_page":"317","last_page":"326"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9864000082015991,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9864000082015991,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9854000210762024,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9634000062942505,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/successor-cardinal","display_name":"Successor cardinal","score":0.9622749090194702},{"id":"https://openalex.org/keywords/unary-operation","display_name":"Unary operation","score":0.7039005756378174},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.7020562887191772},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.6951082944869995},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6442515254020691},{"id":"https://openalex.org/keywords/law-of-large-numbers","display_name":"Law of large numbers","score":0.5281743407249451},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4651215076446533},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43371137976646423},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4214113652706146},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.33892297744750977},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3368438482284546},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.2758900225162506},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21696189045906067},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1934681534767151},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14805370569229126},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.1059122085571289},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.09125444293022156},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.06939476728439331},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.0534324049949646}],"concepts":[{"id":"https://openalex.org/C75306776","wikidata":"https://www.wikidata.org/wiki/Q7632662","display_name":"Successor cardinal","level":2,"score":0.9622749090194702},{"id":"https://openalex.org/C78023250","wikidata":"https://www.wikidata.org/wiki/Q657596","display_name":"Unary operation","level":2,"score":0.7039005756378174},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.7020562887191772},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.6951082944869995},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6442515254020691},{"id":"https://openalex.org/C185767445","wikidata":"https://www.wikidata.org/wiki/Q207952","display_name":"Law of large numbers","level":3,"score":0.5281743407249451},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4651215076446533},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43371137976646423},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4214113652706146},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.33892297744750977},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3368438482284546},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.2758900225162506},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21696189045906067},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1934681534767151},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14805370569229126},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.1059122085571289},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.09125444293022156},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.06939476728439331},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0534324049949646},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/rsa.3240020306","is_oa":false,"landing_page_url":"https://doi.org/10.1002/rsa.3240020306","pdf_url":null,"source":{"id":"https://openalex.org/S59667848","display_name":"Random Structures and Algorithms","issn_l":"1042-9832","issn":["1042-9832","1098-2418"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Random Structures &amp; Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.75}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W76753297","https://openalex.org/W1519375772","https://openalex.org/W1555138513","https://openalex.org/W1997878645","https://openalex.org/W2034198367","https://openalex.org/W2085536555","https://openalex.org/W2090008352","https://openalex.org/W2091969666","https://openalex.org/W2166965860","https://openalex.org/W3143219376","https://openalex.org/W4235934183"],"related_works":["https://openalex.org/W3123320268","https://openalex.org/W2473542051","https://openalex.org/W2994519609","https://openalex.org/W2054269721","https://openalex.org/W2524826070","https://openalex.org/W4214635639","https://openalex.org/W2390822611","https://openalex.org/W2084522819","https://openalex.org/W2965779302","https://openalex.org/W2166285859"],"abstract_inverted_index":{"Abstract":[0],"We":[1,30],"consider":[2,12],"first":[3],"order":[4],"sentences":[5],"about":[6],"two":[7],"logical":[8],"structures.":[9],"First":[10],"we":[11,42],"1,\u2026,":[13],"n":[14],"with":[15,27,36],"the":[16,33],"successor":[17,34],"relation":[18,23,35],"and":[19],"a":[20,48],"random":[21],"unary":[22],"that":[24],"points":[25],"satisfy":[26],"probability":[28],"p(n).":[29],"then":[31],"replace":[32],"less":[37],"than.":[38],"For":[39],"both":[40],"structures":[41],"characterize":[43],"those":[44],"p(n)":[45],"for":[46],"which":[47],"zero\u2010one":[49],"law":[50],"holds.":[51]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
