{"id":"https://openalex.org/W2259130138","doi":"https://doi.org/10.37236/5712","title":"Corners in Tree-Like Tableaux","display_name":"Corners in Tree-Like Tableaux","publication_year":2016,"publication_date":"2016-11-10","ids":{"openalex":"https://openalex.org/W2259130138","doi":"https://doi.org/10.37236/5712","mag":"2259130138"},"language":"en","primary_location":{"id":"doi:10.37236/5712","is_oa":true,"landing_page_url":"https://doi.org/10.37236/5712","pdf_url":null,"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":"preprint","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.37236/5712","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007387346","display_name":"Pawe\u0142 Hitczenko","orcid":"https://orcid.org/0000-0001-8863-9295"},"institutions":[{"id":"https://openalex.org/I72816309","display_name":"Drexel University","ror":"https://ror.org/04bdffz58","country_code":"US","type":"education","lineage":["https://openalex.org/I72816309"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Pawe\u0142 Hitczenko","raw_affiliation_strings":["Drexel University"],"affiliations":[{"raw_affiliation_string":"Drexel University","institution_ids":["https://openalex.org/I72816309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073173301","display_name":"Amanda Lohss","orcid":null},"institutions":[{"id":"https://openalex.org/I72816309","display_name":"Drexel University","ror":"https://ror.org/04bdffz58","country_code":"US","type":"education","lineage":["https://openalex.org/I72816309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Amanda Lohss","raw_affiliation_strings":["Drexel University"],"affiliations":[{"raw_affiliation_string":"Drexel University","institution_ids":["https://openalex.org/I72816309"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5007387346"],"corresponding_institution_ids":["https://openalex.org/I72816309"],"apc_list":null,"apc_paid":null,"fwci":0.6906,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.66618147,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"23","issue":"4","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":1.0,"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":1.0,"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":0.9976999759674072,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.8519120216369629},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8093304634094238},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.807612419128418},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.7976638078689575},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.7792460918426514},{"id":"https://openalex.org/keywords/young-tableau","display_name":"Young tableau","score":0.7707400918006897},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.6869763731956482},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5531783699989319},{"id":"https://openalex.org/keywords/combinatorial-proof","display_name":"Combinatorial proof","score":0.4443356692790985},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33613675832748413},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.04897049069404602}],"concepts":[{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.8519120216369629},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8093304634094238},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.807612419128418},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.7976638078689575},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.7792460918426514},{"id":"https://openalex.org/C165368118","wikidata":"https://www.wikidata.org/wiki/Q2166280","display_name":"Young tableau","level":2,"score":0.7707400918006897},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.6869763731956482},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5531783699989319},{"id":"https://openalex.org/C118539577","wikidata":"https://www.wikidata.org/wiki/Q3402784","display_name":"Combinatorial proof","level":2,"score":0.4443356692790985},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33613675832748413},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.04897049069404602},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.37236/5712","is_oa":true,"landing_page_url":"https://doi.org/10.37236/5712","pdf_url":null,"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:arXiv.org:1511.04989","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1511.04989","pdf_url":"https://arxiv.org/pdf/1511.04989","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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"},{"id":"mag:2259130138","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1511.04989.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1511.04989","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1511.04989","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.37236/5712","is_oa":true,"landing_page_url":"https://doi.org/10.37236/5712","pdf_url":null,"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":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.8199999928474426}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W2007192979","https://openalex.org/W2009098011","https://openalex.org/W2021895108","https://openalex.org/W2029605294","https://openalex.org/W2047135328","https://openalex.org/W2048574975","https://openalex.org/W2053338089","https://openalex.org/W2096520177","https://openalex.org/W2167465427","https://openalex.org/W2186801831","https://openalex.org/W2601994767","https://openalex.org/W2615082092","https://openalex.org/W2905110430"],"related_works":["https://openalex.org/W2963744284","https://openalex.org/W2601994767","https://openalex.org/W3199441320","https://openalex.org/W2258229947","https://openalex.org/W2582740764","https://openalex.org/W2900158650","https://openalex.org/W2809947200","https://openalex.org/W2767660201","https://openalex.org/W3090773996","https://openalex.org/W2239718764","https://openalex.org/W2047135328","https://openalex.org/W3037050598","https://openalex.org/W283627692","https://openalex.org/W1920209951","https://openalex.org/W3127948785","https://openalex.org/W2900355001","https://openalex.org/W2949087738","https://openalex.org/W2950606837","https://openalex.org/W2949373644","https://openalex.org/W2775067917"],"abstract_inverted_index":{"In":[0,50,81],"this":[1,51],"paper,":[2,52],"we":[3,53,74,83],"study":[4],"tree\u2013like":[5,38,48,96,101],"tableaux,":[6],"combinatorial":[7],"objects":[8],"which":[9],"exhibit":[10],"a":[11,28],"natural":[12],"tree":[13],"structure":[14],"and":[15,40,72,98],"are":[16,59],"connected":[17],"to":[18],"the":[19,32,41,63,85,89],"partially":[20],"asymmetric":[21],"simple":[22],"exclusion":[23],"process":[24],"(PASEP).":[25],"There":[26],"was":[27],"conjecture":[29],"made":[30],"on":[31],"total":[33,42],"number":[34,43,90],"of":[35,44,62,88,91],"corners":[36,45,93],"in":[37,46,94],"tableaux":[39,67,71,97],"symmetric":[47,100],"tableaux.":[49,80,102],"prove":[54,76],"both":[55],"conjectures.":[56],"Our":[57],"proofs":[58],"based":[60],"off":[61],"bijection":[64],"with":[65],"permutation":[66,70],"or":[68],"type\u2013B":[69],"consequently,":[73],"also":[75],"results":[77],"for":[78],"these":[79],"addition,":[82],"derive":[84],"limiting":[86],"distribution":[87],"occupied":[92],"random":[95,99]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}