{"id":"https://openalex.org/W2992792768","doi":"https://doi.org/10.37236/1886","title":"Asymptotics for the Distributions of Subtableaux in Young and Up-Down Tableaux","display_name":"Asymptotics for the Distributions of Subtableaux in Young and Up-Down Tableaux","publication_year":2006,"publication_date":"2006-04-11","ids":{"openalex":"https://openalex.org/W2992792768","doi":"https://doi.org/10.37236/1886","mag":"2992792768"},"language":"en","primary_location":{"id":"doi:10.37236/1886","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1886","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v11i2r29/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":null,"license_id":null,"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/v11i2r29/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044497179","display_name":"David J. Grabiner","orcid":null},"institutions":[{"id":"https://openalex.org/I99939339","display_name":"Brookhaven College","ror":"https://ror.org/04z1g6718","country_code":"US","type":"education","lineage":["https://openalex.org/I1291072267","https://openalex.org/I99939339"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"David J. Grabiner","raw_affiliation_strings":["7318 Eden Brook Dr. #123 Columbia, MD 21046"],"affiliations":[{"raw_affiliation_string":"7318 Eden Brook Dr. #123 Columbia, MD 21046","institution_ids":["https://openalex.org/I99939339"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5044497179"],"corresponding_institution_ids":["https://openalex.org/I99939339"],"apc_list":null,"apc_paid":null,"fwci":0.9381,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.75493905,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"11","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9990000128746033,"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/T11716","display_name":"Random Matrices and Applications","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T11428","display_name":"Advanced Mathematical Identities","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/young-tableau","display_name":"Young tableau","score":0.8522031903266907},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8135846257209778},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7984973788261414},{"id":"https://openalex.org/keywords/infinity","display_name":"Infinity","score":0.7198055982589722},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.6050159931182861},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1427893042564392}],"concepts":[{"id":"https://openalex.org/C165368118","wikidata":"https://www.wikidata.org/wiki/Q2166280","display_name":"Young tableau","level":2,"score":0.8522031903266907},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8135846257209778},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7984973788261414},{"id":"https://openalex.org/C7321624","wikidata":"https://www.wikidata.org/wiki/Q205","display_name":"Infinity","level":2,"score":0.7198055982589722},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6050159931182861},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1427893042564392}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.37236/1886","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1886","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v11i2r29/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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.90.6636","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.90.6636","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.emis.de/journals/EJC/Volume_11/PDF/v11i2r29.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.37236/1886","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1886","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v11i2r29/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":null,"license_id":null,"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":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2992792768.pdf","grobid_xml":"https://content.openalex.org/works/W2992792768.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W1534413569","https://openalex.org/W1560447213","https://openalex.org/W1607402086","https://openalex.org/W1656574112","https://openalex.org/W1809529033","https://openalex.org/W1980628476","https://openalex.org/W1984006260","https://openalex.org/W2009190506","https://openalex.org/W2044980412","https://openalex.org/W2071840532","https://openalex.org/W2089719844","https://openalex.org/W2090589015","https://openalex.org/W2149129024","https://openalex.org/W2477370265","https://openalex.org/W3000076997","https://openalex.org/W4210251251","https://openalex.org/W4213281606","https://openalex.org/W4240950518","https://openalex.org/W6646087269","https://openalex.org/W6668581441","https://openalex.org/W6672988509","https://openalex.org/W6681836285","https://openalex.org/W6721281430","https://openalex.org/W6763637960"],"related_works":["https://openalex.org/W2964055078","https://openalex.org/W4300133916","https://openalex.org/W1862379588","https://openalex.org/W2306553012","https://openalex.org/W4251417359","https://openalex.org/W1979597421","https://openalex.org/W2381059884","https://openalex.org/W4229993731","https://openalex.org/W2372756075","https://openalex.org/W4302768468"],"abstract_inverted_index":{"Let":[0],"$\\mu$":[1,111,129],"be":[2],"a":[3,9,24,35,59,100,122],"partition":[4],"of":[5,13,29,51,54],"$k$,":[6],"and":[7,18,115,125],"$T$":[8,33],"standard":[10,123],"Young":[11,27,72],"tableau":[12,28,119],"shape":[14,55],"$\\mu$.":[15,56],"McKay,":[16],"Morse,":[17],"Wilf":[19],"show":[20,63],"that":[21,64],"the":[22,49,65,92,106,117],"probability":[23,68,107],"randomly":[25,70],"chosen":[26,71],"$N$":[30,42],"cells":[31,114],"contains":[32],"as":[34,41,87,96],"subtableau":[36],"is":[37,48,79,120],"asymptotic":[38,67],"to":[39,44,62,81,90],"$f^\\mu/k!$":[40,95,109],"goes":[43,89],"infinity,":[45,91],"where":[46],"$f^\\mu$":[47],"number":[50],"all":[52],"tableaux":[53,73],"We":[57,98],"use":[58],"random-walk":[60],"argument":[61],"analogous":[66],"for":[69,103],"with":[74],"at":[75],"most":[76],"$n$":[77,88],"rows":[78],"proportional":[80],"$\\prod_{1\\le":[82],"i":[83],"<":[84],"j\\le":[85],"n}\\bigl((\\mu_i-i)-(\\mu_j-j)\\bigr)$;":[86],"probabilities":[93],"approach":[94],"expected.":[97],"have":[99],"similar":[101],"formula":[102],"up-down":[104,118],"tableaux;":[105],"approaches":[108,126],"if":[110,128],"has":[112,130],"$k$":[113,133],"thus":[116],"actually":[121],"tableau,":[124],"0":[127],"fewer":[131],"than":[132],"cells.":[134]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}