{"id":"https://openalex.org/W1529356992","doi":"https://doi.org/10.1007/3-540-59175-3_90","title":"(Probabilistic) recurrence relations revisited","display_name":"(Probabilistic) recurrence relations revisited","publication_year":1995,"publication_date":"1995-01-01","ids":{"openalex":"https://openalex.org/W1529356992","doi":"https://doi.org/10.1007/3-540-59175-3_90","mag":"1529356992"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-59175-3_90","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-59175-3_90","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/11858/00-001M-0000-000F-3979-2","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109880876","display_name":"Shiva Chaudhuri","orcid":null},"institutions":[{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I149899117"]},{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Shiva Chaudhuri","raw_affiliation_strings":["Max-Planck-Institute f\u00fcr Informatik, Im Stadtwald, 66123, Saarbr\u00fccken, Germany","Algorithms and Complexity, MPI for Informatics, Max Planck Society"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Max-Planck-Institute f\u00fcr Informatik, Im Stadtwald, 66123, Saarbr\u00fccken, Germany","institution_ids":[]},{"raw_affiliation_string":"Algorithms and Complexity, MPI for Informatics, Max Planck Society","institution_ids":["https://openalex.org/I149899117"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073376939","display_name":"Devdatt Dubhashi","orcid":"https://orcid.org/0000-0002-9928-2305"},"institutions":[{"id":"https://openalex.org/I4210087405","display_name":"Danish National Research Foundation","ror":"https://ror.org/00znyv691","country_code":"DK","type":"nonprofit","lineage":["https://openalex.org/I4210087405"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Devdatt Dubhashi","raw_affiliation_strings":["Basic Research in Computer Science, Centre of the Danish National Research Foundation, Department of Computer Science, University of Aarhus, DK-8000, Ny Munkegade, Aarhus C, Denmark","BRICS 22Basic Research in Computer Science, Centre of the Danish National Research Foundation., Department of Computer Science, University of Aarhus, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Basic Research in Computer Science, Centre of the Danish National Research Foundation, Department of Computer Science, University of Aarhus, DK-8000, Ny Munkegade, Aarhus C, Denmark","institution_ids":[]},{"raw_affiliation_string":"BRICS 22Basic Research in Computer Science, Centre of the Danish National Research Foundation., Department of Computer Science, University of Aarhus, Denmark","institution_ids":["https://openalex.org/I4210087405"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.1787,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.81142444,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"181","issue":"1","first_page":"207","last_page":"219"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10215","display_name":"Semantic Web and Ontologies","score":0.22910000383853912,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.22910000383853912,"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/mathematics","display_name":"Mathematics","score":0.7280337810516357},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.7186537981033325},{"id":"https://openalex.org/keywords/chernoff-bound","display_name":"Chernoff bound","score":0.6808423399925232},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5403571128845215},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5235904455184937},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.4919314384460449},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.47088512778282166},{"id":"https://openalex.org/keywords/probability-distribution","display_name":"Probability distribution","score":0.44426265358924866},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4413924813270569},{"id":"https://openalex.org/keywords/stochastic-dominance","display_name":"Stochastic dominance","score":0.4311448931694031},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.43076205253601074},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30879122018814087},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.20509403944015503},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.19923678040504456},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17509615421295166}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7280337810516357},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.7186537981033325},{"id":"https://openalex.org/C14539891","wikidata":"https://www.wikidata.org/wiki/Q1070305","display_name":"Chernoff bound","level":2,"score":0.6808423399925232},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5403571128845215},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5235904455184937},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.4919314384460449},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.47088512778282166},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.44426265358924866},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4413924813270569},{"id":"https://openalex.org/C33252445","wikidata":"https://www.wikidata.org/wiki/Q3713315","display_name":"Stochastic dominance","level":2,"score":0.4311448931694031},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.43076205253601074},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30879122018814087},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.20509403944015503},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.19923678040504456},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17509615421295166},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":8,"locations":[{"id":"doi:10.1007/3-540-59175-3_90","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-59175-3_90","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"doi:10.1016/s0304-3975(96)00261-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0304-3975(96)00261-7","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theoretical Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.44.7831","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.44.7831","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mpi-sb.mpg.de/~shiva/publications/prrr.ps.gz","raw_type":"text"},{"id":"pmh:oai:edoc.mpg.de:517761","is_oa":false,"landing_page_url":"http://edoc.mpg.de/517761","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Baeza-Yates, Ricardo; Goles, Eric; Poblete, Patricio V.: LATIN'95: Theoretical Informatics, Second Latin American Symposium, Springer, 207-219 (1995)","raw_type":"Conference-Paper"},{"id":"pmh:oai:edoc.mpg.de:517912","is_oa":false,"landing_page_url":"http://edoc.mpg.de/517912","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Theoretical Computer Science, v.181, 45-56 (1997)","raw_type":"Article"},{"id":"pmh:oai:pure.mpg.de:item_1331568","is_oa":true,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-000F-3979-2","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"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":"Theoretical computer science","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pure.mpg.de:item_1331863","is_oa":false,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-0014-ACB7-7","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"mag:1529356992","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:pure.mpg.de:item_1331568","is_oa":true,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-000F-3979-2","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"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":"Theoretical computer science","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"score":0.46000000834465027,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1564095107","https://openalex.org/W1781587470","https://openalex.org/W1973393028","https://openalex.org/W1977820641","https://openalex.org/W1993388844","https://openalex.org/W2005390858","https://openalex.org/W2052354487","https://openalex.org/W2100061495","https://openalex.org/W6633865793","https://openalex.org/W6638121588","https://openalex.org/W6644817666"],"related_works":["https://openalex.org/W2119912580","https://openalex.org/W2647681439","https://openalex.org/W2137898194","https://openalex.org/W2778748440","https://openalex.org/W2105430299","https://openalex.org/W2952568439","https://openalex.org/W2045076339","https://openalex.org/W2398294525","https://openalex.org/W50856701","https://openalex.org/W2950821440","https://openalex.org/W2963845181","https://openalex.org/W2908286069","https://openalex.org/W3209913008","https://openalex.org/W3205426207","https://openalex.org/W397795294","https://openalex.org/W1718568905","https://openalex.org/W1991524217","https://openalex.org/W1518170105","https://openalex.org/W1501784476","https://openalex.org/W2961133442"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-16T09:24:06.705377","created_date":"2025-10-10T00:00:00"}