{"id":"https://openalex.org/W2003894258","doi":"https://doi.org/10.1007/s00453-001-0056-0","title":"Analytic Variations on the Airy Distribution","display_name":"Analytic Variations on the Airy Distribution","publication_year":2001,"publication_date":"2001-11-01","ids":{"openalex":"https://openalex.org/W2003894258","doi":"https://doi.org/10.1007/s00453-001-0056-0","mag":"2003894258"},"language":"en","primary_location":{"id":"doi:10.1007/s00453-001-0056-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-001-0056-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-001-0056-0.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s00453-001-0056-0.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018743761","display_name":"Philippe Flajolet","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"P. Flajolet","raw_affiliation_strings":["INRIA, Domaine de Voluceau-Rocquencourt, BP 105, F-78153 Le Chesnay Cedex, France. Philippe.Flajolet@inria.fr., FR"],"affiliations":[{"raw_affiliation_string":"INRIA, Domaine de Voluceau-Rocquencourt, BP 105, F-78153 Le Chesnay Cedex, France. Philippe.Flajolet@inria.fr., FR","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058614381","display_name":"Guy Louchard","orcid":null},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"G. Louchard","raw_affiliation_strings":["D\u00e9partement d'Informatique, Universit\u00e9 Libre de Bruxelles, CP 212, Boulevard du Triomphe, B-1050, Bruxelles. louchard@ulb.ac.be., BE"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement d'Informatique, Universit\u00e9 Libre de Bruxelles, CP 212, Boulevard du Triomphe, B-1050, Bruxelles. louchard@ulb.ac.be., BE","institution_ids":["https://openalex.org/I132053463"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5018743761"],"corresponding_institution_ids":["https://openalex.org/I1326498283"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":6.3289,"has_fulltext":true,"cited_by_count":75,"citation_normalized_percentile":{"value":0.97219894,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"31","issue":"3","first_page":"361","last_page":"377"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9983999729156494,"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"}},"topics":[{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9983999729156494,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T11106","display_name":"Data Management and Algorithms","score":0.9945999979972839,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/airy-function","display_name":"Airy function","score":0.8085978031158447},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7383295893669128},{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.5160198211669922},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.49133720993995667},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.47779446840286255},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.46389225125312805},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33513855934143066}],"concepts":[{"id":"https://openalex.org/C140901224","wikidata":"https://www.wikidata.org/wiki/Q409415","display_name":"Airy function","level":2,"score":0.8085978031158447},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7383295893669128},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.5160198211669922},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.49133720993995667},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.47779446840286255},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.46389225125312805},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33513855934143066}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s00453-001-0056-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-001-0056-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-001-0056-0.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.217.5414","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.217.5414","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://algo.inria.fr/flajolet/Publications/FlLo01.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.27.3450","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.27.3450","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://algo.inria.fr/flajolet/Publications/FlLo01.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.29.1244","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.29.1244","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ulb.ac.be/di/mcs/louchard/louchard.papers/airy9.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.34.1707","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.34.1707","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://pauillac.inria.fr/algo/flajolet/Publications/Airy7.ps.gz","raw_type":"text"},{"id":"pmh:oai:dipot.ulb.ac.be:2013/165831","is_oa":false,"landing_page_url":"http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/165831","pdf_url":null,"source":{"id":"https://openalex.org/S4306401063","display_name":"D\u00e9p\u00f4t institutionnel de l'Universit\u00e9 libre de Bruxelles (Universit\u00e9 Libre de Bruxelles)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I132053463","host_organization_name":"Universit\u00e9 Libre de Bruxelles","host_organization_lineage":["https://openalex.org/I132053463"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithmica, 31 (3","raw_type":"info:ulb-repo/semantics/openurl/article"}],"best_oa_location":{"id":"doi:10.1007/s00453-001-0056-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-001-0056-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-001-0056-0.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.7099999785423279,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2003894258.pdf","grobid_xml":"https://content.openalex.org/works/W2003894258.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W29962710","https://openalex.org/W579204254","https://openalex.org/W1523050803","https://openalex.org/W1545370368","https://openalex.org/W1697214697","https://openalex.org/W1922988946","https://openalex.org/W1975340857","https://openalex.org/W1979228272","https://openalex.org/W1986567569","https://openalex.org/W2010894431","https://openalex.org/W2010901247","https://openalex.org/W2014724230","https://openalex.org/W2050375762","https://openalex.org/W2052293692","https://openalex.org/W2076959928","https://openalex.org/W2092841585","https://openalex.org/W2120062331","https://openalex.org/W2121373282","https://openalex.org/W2145910064","https://openalex.org/W2152109518","https://openalex.org/W2161613033","https://openalex.org/W2170706425","https://openalex.org/W2332765978","https://openalex.org/W2752061190","https://openalex.org/W2752853835","https://openalex.org/W2986057930","https://openalex.org/W3146073576","https://openalex.org/W4229765068","https://openalex.org/W4235371190","https://openalex.org/W4244594925","https://openalex.org/W4297851204","https://openalex.org/W4302114916","https://openalex.org/W4303083268","https://openalex.org/W6636164859","https://openalex.org/W6644892707","https://openalex.org/W6653164597"],"related_works":["https://openalex.org/W3134625792","https://openalex.org/W2352992585","https://openalex.org/W3148881609","https://openalex.org/W2699763418","https://openalex.org/W1971210245","https://openalex.org/W2350962908","https://openalex.org/W2980963558","https://openalex.org/W2490267035","https://openalex.org/W2581535539","https://openalex.org/W2247711229"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
