{"id":"https://openalex.org/W2963240704","doi":"https://doi.org/10.37236/6739","title":"A $q$-Robinson-Schensted-Knuth Algorithm and a $q$-Polymer","display_name":"A $q$-Robinson-Schensted-Knuth Algorithm and a $q$-Polymer","publication_year":2017,"publication_date":"2017-10-06","ids":{"openalex":"https://openalex.org/W2963240704","doi":"https://doi.org/10.37236/6739","mag":"2963240704"},"language":"en","primary_location":{"id":"doi:10.37236/6739","is_oa":true,"landing_page_url":"https://doi.org/10.37236/6739","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":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.37236/6739","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108688349","display_name":"Yuchen Pei","orcid":"https://orcid.org/0000-0002-5661-3135"},"institutions":[{"id":"https://openalex.org/I73544541","display_name":"Mathematical Sciences Research Institute","ror":"https://ror.org/05hs5r386","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I73544541"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yuchen Pei","raw_affiliation_strings":["Center of Mathematical Sciences and Applications at Harvard University"],"affiliations":[{"raw_affiliation_string":"Center of Mathematical Sciences and Applications at Harvard University","institution_ids":["https://openalex.org/I73544541"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5108688349"],"corresponding_institution_ids":["https://openalex.org/I73544541"],"apc_list":null,"apc_paid":null,"fwci":0.319,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.59632842,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"24","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"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/T12029","display_name":"DNA and Biological Computing","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9969000220298767,"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"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9958000183105469,"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":0.7998130321502686},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7678289413452148},{"id":"https://openalex.org/keywords/young-tableau","display_name":"Young tableau","score":0.5032734274864197},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3539941608905792}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7998130321502686},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7678289413452148},{"id":"https://openalex.org/C165368118","wikidata":"https://www.wikidata.org/wiki/Q2166280","display_name":"Young tableau","level":2,"score":0.5032734274864197},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3539941608905792}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/6739","is_oa":true,"landing_page_url":"https://doi.org/10.37236/6739","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"}],"best_oa_location":{"id":"doi:10.37236/6739","is_oa":true,"landing_page_url":"https://doi.org/10.37236/6739","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":[{"id":"https://metadata.un.org/sdg/16","score":0.5600000023841858,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2964055078","https://openalex.org/W4300133916","https://openalex.org/W1862379588","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W283627692","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104"],"abstract_inverted_index":{"In":[0],"Matveev-Petrov":[1],"(2017)":[2],"a":[3,44,57,74,97,103,131,152],"$q$-deformed":[4],"Robinson-Schensted-Knuth":[5],"algorithm":[6,17,33],"($q$RSK)":[7],"was":[8],"introduced.In":[9],"this":[10,16],"article":[11],"we":[12,70],"give":[13],"reformulations":[14],"of":[15,20,46,77,99,106,117,124,133,146],"in":[18,43,120,127],"terms":[19],"the":[21,32,37,49,62,65,81,92,100,109,114,121,125,134,143,147],"Noumi-Yamada":[22],"description,":[23],"growth":[24,137],"diagrams":[25],"and":[26,88,140],"local":[27],"moves.":[28],"We":[29,54,111],"show":[30,73],"that":[31],"is":[34,52],"symmetric,":[35],"namely":[36],"output":[38],"tableaux":[39],"pairs":[40],"are":[41],"swapped":[42],"sense":[45],"distribution":[47,116,145],"when":[48],"input":[50],"matrix":[51],"transposed.":[53],"also":[55],"formulate":[56,130],"$q$-polymer":[58,126,148],"model":[59,138],"based":[60],"on":[61],"$q$RSK,":[63],"prove":[64],"corresponding":[66],"Burke":[67],"property,":[68],"which":[69],"use":[71,91],"to":[72,95],"strong":[75],"law":[76],"large":[78],"numbers":[79],"for":[80],"partition":[82,118,149],"function":[83],"given":[84],"stationary":[85],"boundary":[86],"conditions":[87],"$q$-geometric":[89,128],"weights.We":[90],"$q$-local":[93],"moves":[94],"define":[96],"generalisation":[98],"$q$RSK":[101],"taking":[102],"Young":[104],"diagram-shape":[105],"array":[107],"as":[108],"input.":[110],"write":[112,141],"down":[113,142],"joint":[115,144],"functions":[119,150],"space-like":[122],"direction":[123],"environment,":[129],"$q$-version":[132],"multilayer":[135],"polynuclear":[136],"($q$PNG)":[139],"at":[151],"fixed":[153],"time.":[154]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}