{"id":"https://openalex.org/W2172294560","doi":"https://doi.org/10.37236/3981","title":"Equidistributed Statistics on Matchings and Permutations","display_name":"Equidistributed Statistics on Matchings and Permutations","publication_year":2014,"publication_date":"2014-11-27","ids":{"openalex":"https://openalex.org/W2172294560","doi":"https://doi.org/10.37236/3981","mag":"2172294560"},"language":"en","primary_location":{"id":"doi:10.37236/3981","is_oa":true,"landing_page_url":"https://doi.org/10.37236/3981","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v21i4p43/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v21i4p43/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037726650","display_name":"Niklas Eriksen","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Niklas Eriksen","raw_affiliation_strings":["Department of Science and Technology\r\n\u00d6rebro University"],"affiliations":[{"raw_affiliation_string":"Department of Science and Technology\r\n\u00d6rebro University","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070036044","display_name":"Jonas Sj\u00f6strand","orcid":"https://orcid.org/0000-0002-7601-149X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jonas Sj\u00f6strand","raw_affiliation_strings":["Department of Mathematics\r\nRoyal Institute of Technology"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics\r\nRoyal Institute of Technology","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5037726650"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2289,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.6636243,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"21","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13664","display_name":"Genome Rearrangement Algorithms","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T13664","display_name":"Genome Rearrangement Algorithms","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9980000257492065,"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/T11901","display_name":"Bayesian Methods and Mixture Models","score":0.9782999753952026,"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/equidistributed-sequence","display_name":"Equidistributed sequence","score":0.9900729060173035},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8910151720046997},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.8034893274307251},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6927130222320557},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6606644988059998},{"id":"https://openalex.org/keywords/generating-function","display_name":"Generating function","score":0.645990788936615},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.6043785810470581},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.5116691589355469},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.43069514632225037},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4180513024330139},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33968043327331543},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2601829171180725}],"concepts":[{"id":"https://openalex.org/C50742451","wikidata":"https://www.wikidata.org/wiki/Q1530388","display_name":"Equidistributed sequence","level":2,"score":0.9900729060173035},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8910151720046997},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.8034893274307251},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6927130222320557},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6606644988059998},{"id":"https://openalex.org/C204911207","wikidata":"https://www.wikidata.org/wiki/Q860609","display_name":"Generating function","level":2,"score":0.645990788936615},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.6043785810470581},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5116691589355469},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.43069514632225037},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4180513024330139},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33968043327331543},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2601829171180725},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.37236/3981","is_oa":true,"landing_page_url":"https://doi.org/10.37236/3981","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v21i4p43/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:DiVA.org:oru-39040","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:oru:diva-39040","pdf_url":null,"source":{"id":"https://openalex.org/S4306400154","display_name":"\u00d6rebro University Library (\u00d6rebro University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I26437253","host_organization_name":"\u00d6rebro University","host_organization_lineage":["https://openalex.org/I26437253"],"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":"","raw_type":"Article in journal"}],"best_oa_location":{"id":"doi:10.37236/3981","is_oa":true,"landing_page_url":"https://doi.org/10.37236/3981","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v21i4p43/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2172294560.pdf","grobid_xml":"https://content.openalex.org/works/W2172294560.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W957038697","https://openalex.org/W1497797930","https://openalex.org/W1973597486","https://openalex.org/W1978059000","https://openalex.org/W2024553809","https://openalex.org/W2036143020","https://openalex.org/W2059169284","https://openalex.org/W2121947368","https://openalex.org/W2300684981","https://openalex.org/W2952552917"],"related_works":["https://openalex.org/W1702733341","https://openalex.org/W2950949433","https://openalex.org/W4313441736","https://openalex.org/W4213409680","https://openalex.org/W2962886520","https://openalex.org/W2949947309","https://openalex.org/W4247734921","https://openalex.org/W2949789496","https://openalex.org/W2071280507","https://openalex.org/W2053986024"],"abstract_inverted_index":{"We":[0],"show":[1],"that":[2,31,82],"the":[3,19,62],"bistatistic":[4],"of":[5,21,23,39,73,76,92],"right":[6,9],"nestings":[7,15],"and":[8,29,44,78],"crossings":[10,91],"in":[11,27,42],"matchings":[12,43,93],"without":[13],"left":[14,90],"is":[16],"equidistributed":[17],"with":[18],"number":[20],"occurrences":[22],"two":[24,74],"certain":[25],"patterns":[26],"permutations,":[28],"furthermore":[30],"this":[32,47],"equidistribution":[33],"holds":[34],"when":[35],"refined":[36],"to":[37,57,88],"positions":[38],"these":[40],"statistics":[41],"permutations.":[45],"For":[46],"distribution":[48],"we":[49,70,80],"obtain":[50,71],"a":[51,67],"non-commutative":[52],"generating":[53,59],"function":[54,60],"which":[55],"specializes":[56],"Zagier's":[58],"for":[61],"Fishburn":[63],"numbers":[64],"after":[65],"abelianization.As":[66],"special":[68],"case":[69],"proofs":[72],"conjectures":[75],"Claesson":[77],"Linusson.Finally,":[79],"conjecture":[81],"our":[83],"results":[84],"can":[85],"be":[86],"generalized":[87],"involving":[89],"too.":[94]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
