{"id":"https://openalex.org/W1490652101","doi":"https://doi.org/10.1051/ita/1989230303351","title":"A limiting distribution for quicksort","display_name":"A limiting distribution for quicksort","publication_year":1989,"publication_date":"1989-01-01","ids":{"openalex":"https://openalex.org/W1490652101","doi":"https://doi.org/10.1051/ita/1989230303351","mag":"1490652101"},"language":"en","primary_location":{"id":"doi:10.1051/ita/1989230303351","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ita/1989230303351","pdf_url":"https://www.rairo-ita.org/articles/ita/pdf/1989/03/ita1989230303351.pdf","source":{"id":"https://openalex.org/S6941720","display_name":"RAIRO - Theoretical Informatics and Applications","issn_l":"0988-3754","issn":["0988-3754","1290-385X","2804-7346"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Theoretical Informatics and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.rairo-ita.org/articles/ita/pdf/1989/03/ita1989230303351.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108073314","display_name":"Mireille R\u00e9gnier","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Mireille R\u00e9gnier","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5108073314"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.0275,"has_fulltext":true,"cited_by_count":116,"citation_normalized_percentile":{"value":0.87574163,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"23","issue":"3","first_page":"335","last_page":"343"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9905999898910522,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9905999898910522,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11106","display_name":"Data Management and Algorithms","score":0.9858999848365784,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9789000153541565,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/quicksort","display_name":"Quicksort","score":0.9779077768325806},{"id":"https://openalex.org/keywords/limiting","display_name":"Limiting","score":0.47788918018341064},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42580482363700867},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39439934492111206},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2690153121948242},{"id":"https://openalex.org/keywords/sorting","display_name":"Sorting","score":0.15315651893615723},{"id":"https://openalex.org/keywords/sorting-algorithm","display_name":"Sorting algorithm","score":0.08886256814002991},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.04617512226104736}],"concepts":[{"id":"https://openalex.org/C2778937211","wikidata":"https://www.wikidata.org/wiki/Q486598","display_name":"Quicksort","level":4,"score":0.9779077768325806},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.47788918018341064},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42580482363700867},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39439934492111206},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2690153121948242},{"id":"https://openalex.org/C111696304","wikidata":"https://www.wikidata.org/wiki/Q2303697","display_name":"Sorting","level":2,"score":0.15315651893615723},{"id":"https://openalex.org/C108094655","wikidata":"https://www.wikidata.org/wiki/Q181593","display_name":"Sorting algorithm","level":3,"score":0.08886256814002991},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.04617512226104736},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1051/ita/1989230303351","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ita/1989230303351","pdf_url":"https://www.rairo-ita.org/articles/ita/pdf/1989/03/ita1989230303351.pdf","source":{"id":"https://openalex.org/S6941720","display_name":"RAIRO - Theoretical Informatics and Applications","issn_l":"0988-3754","issn":["0988-3754","1290-385X","2804-7346"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Theoretical Informatics and Applications","raw_type":"journal-article"},{"id":"pmh:oai:edpsciences.org:dkey/10.1051/ita/1989230303351","is_oa":true,"landing_page_url":null,"pdf_url":"https://www.rairo-ita.org/10.1051/ita/1989230303351/pdf","source":{"id":"https://openalex.org/S4306400744","display_name":"Springer Link (Chiba Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I8488066","host_organization_name":"Chiba Institute of Technology","host_organization_lineage":["https://openalex.org/I8488066"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://doi.org/10.1051/ita/1989230303351","raw_type":"Text"},{"id":"pmh:hdl:10068/47769","is_oa":false,"landing_page_url":"http://hdl.handle.net/10068/47769","pdf_url":null,"source":{"id":"https://openalex.org/S4377196900","display_name":"OpenGrey (Institut de l'Information Scientifique et Technique)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1295345811","host_organization_name":"Institut de l'Information Scientifique et Technique","host_organization_lineage":["https://openalex.org/I1295345811"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"R - Report"},{"id":"pmh:oai:HAL:inria-00075813v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00075813","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"RR-0739, INRIA. 1987","raw_type":"info:eu-repo/semantics/report"},{"id":"pmh:oai:numdam.org:ITA_1989__23_3_335_0","is_oa":false,"landing_page_url":"https://www.numdam.org/item/ITA_1989__23_3_335_0/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"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"}],"best_oa_location":{"id":"doi:10.1051/ita/1989230303351","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ita/1989230303351","pdf_url":"https://www.rairo-ita.org/articles/ita/pdf/1989/03/ita1989230303351.pdf","source":{"id":"https://openalex.org/S6941720","display_name":"RAIRO - Theoretical Informatics and Applications","issn_l":"0988-3754","issn":["0988-3754","1290-385X","2804-7346"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Theoretical Informatics and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1490652101.pdf","grobid_xml":"https://content.openalex.org/works/W1490652101.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W68608586","https://openalex.org/W1981177980","https://openalex.org/W2091359340","https://openalex.org/W2751862591","https://openalex.org/W2752853835","https://openalex.org/W4235295823"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2952270454","https://openalex.org/W2291583200","https://openalex.org/W1890406823","https://openalex.org/W4298073269","https://openalex.org/W2137320372","https://openalex.org/W2054951384","https://openalex.org/W2730100492","https://openalex.org/W946670644","https://openalex.org/W2342314432"],"abstract_inverted_index":{"We":[0,28],"establish":[1],"the":[2,9,19,34],"existence":[3],"of":[4,11,23,33],"a":[5,24,30,38,52],"limiting":[6],"distribution":[7,32,41,60,88,97],"for":[8,18],"number":[10],"comparisons":[12],"performed":[13],"by":[14],"quicksort,":[15,69],"ot,":[16],"equivalently,":[17],"external":[20],"path":[21],"length":[22],"binary":[25],"search":[26],"tree.":[27],"assume":[29],"uniform":[31],"data":[35],"and":[36,42],"prove":[37],"convergence":[39,95],"in":[40,43],"L":[44,100],"p":[45,101],",":[46,102],"p^l.":[47,103],"The":[48],"proofis":[49],"based":[50],"on":[51],"martingale":[53],"argument.":[54],"Rsum.":[55],"-Nous":[56],"prouvons":[57,93],"Vexistence":[58],"d'une":[59],"limite":[61],"pour":[62,74],"le":[63],"nombre":[64],"de":[65,71,77,83,111],"comparaisons":[66],"effectues":[67],"par":[68],"ou,":[70],"manire":[72],"quivalente,":[73],"la":[75,94],"longueur":[76],"cheminement":[78],"externe":[79],"d'un":[80],"arbre":[81],"binaire":[82],"recherche.":[84],"Sous":[85],"rhypothse":[86],"une":[87],"uniforme":[89],"des":[90],"donnes,":[91],"nous":[92],"en":[96],"et":[98],"dans":[99],"La":[104],"preuve":[105],"se":[106],"fonde":[107],"sur":[108],"un":[109],"argument":[110],"martingale.":[112]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":10},{"year":2012,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
