{"id":"https://openalex.org/W4414262761","doi":"https://doi.org/10.5070/c65365557","title":"Piecewise-linear promotion and RSK in rectangles and moon polyominoes","display_name":"Piecewise-linear promotion and RSK in rectangles and moon polyominoes","publication_year":2025,"publication_date":"2025-09-12","ids":{"openalex":"https://openalex.org/W4414262761","doi":"https://doi.org/10.5070/c65365557"},"language":"en","primary_location":{"id":"doi:10.5070/c65365557","is_oa":true,"landing_page_url":"https://doi.org/10.5070/c65365557","pdf_url":"https://escholarship.org/content/qt82m6c1mt/qt82m6c1mt.pdf","source":{"id":"https://openalex.org/S4210174179","display_name":"Combinatorial Theory","issn_l":"2766-1334","issn":["2766-1334"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorial Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://escholarship.org/content/qt82m6c1mt/qt82m6c1mt.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058864560","display_name":"Joseph Johnson","orcid":"https://orcid.org/0000-0001-8574-6909"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Joseph Johnson","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5033979580","display_name":"Ricky Ini Liu","orcid":"https://orcid.org/0009-0005-2166-1179"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ricky Ini Liu","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058864560"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19154504,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"5","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10184","display_name":"Plant Molecular Biology Research","score":0.6229000091552734,"subfield":{"id":"https://openalex.org/subfields/1110","display_name":"Plant Science"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10184","display_name":"Plant Molecular Biology Research","score":0.6229000091552734,"subfield":{"id":"https://openalex.org/subfields/1110","display_name":"Plant Science"},"field":{"id":"https://openalex.org/fields/11","display_name":"Agricultural and Biological Sciences"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/polyomino","display_name":"Polyomino","score":0.8629999756813049},{"id":"https://openalex.org/keywords/bijection-injection-and-surjection","display_name":"Bijection, injection and surjection","score":0.7139999866485596},{"id":"https://openalex.org/keywords/subject","display_name":"Subject (documents)","score":0.5049999952316284},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.49790000915527344},{"id":"https://openalex.org/keywords/chain","display_name":"Chain (unit)","score":0.4959999918937683},{"id":"https://openalex.org/keywords/action","display_name":"Action (physics)","score":0.48489999771118164},{"id":"https://openalex.org/keywords/period","display_name":"Period (music)","score":0.4645000100135803}],"concepts":[{"id":"https://openalex.org/C69919132","wikidata":"https://www.wikidata.org/wiki/Q1144819","display_name":"Polyomino","level":3,"score":0.8629999756813049},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7404000163078308},{"id":"https://openalex.org/C48659774","wikidata":"https://www.wikidata.org/wiki/Q4907197","display_name":"Bijection, injection and surjection","level":3,"score":0.7139999866485596},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6378999948501587},{"id":"https://openalex.org/C2777855551","wikidata":"https://www.wikidata.org/wiki/Q12310021","display_name":"Subject (documents)","level":2,"score":0.5049999952316284},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.49790000915527344},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.4959999918937683},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.48489999771118164},{"id":"https://openalex.org/C2781291010","wikidata":"https://www.wikidata.org/wiki/Q178580","display_name":"Period (music)","level":2,"score":0.4645000100135803},{"id":"https://openalex.org/C98147612","wikidata":"https://www.wikidata.org/wiki/Q215599","display_name":"Promotion (chess)","level":3,"score":0.4255000054836273},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.36809998750686646},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.34610000252723694},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.33959999680519104},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.3391999900341034},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.33309999108314514},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3294000029563904},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.32109999656677246}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5070/c65365557","is_oa":true,"landing_page_url":"https://doi.org/10.5070/c65365557","pdf_url":"https://escholarship.org/content/qt82m6c1mt/qt82m6c1mt.pdf","source":{"id":"https://openalex.org/S4210174179","display_name":"Combinatorial Theory","issn_l":"2766-1334","issn":["2766-1334"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorial Theory","raw_type":"journal-article"},{"id":"pmh:doi:10.5070/C65365557","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S7407050878","display_name":"California Digital Library","issn_l":null,"issn":[],"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":null,"raw_type":"Text/journal article"}],"best_oa_location":{"id":"doi:10.5070/c65365557","is_oa":true,"landing_page_url":"https://doi.org/10.5070/c65365557","pdf_url":"https://escholarship.org/content/qt82m6c1mt/qt82m6c1mt.pdf","source":{"id":"https://openalex.org/S4210174179","display_name":"Combinatorial Theory","issn_l":"2766-1334","issn":["2766-1334"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorial Theory","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4414262761.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0,38,72],"study":[1],"piecewise-linear":[2,44],"and":[3,10,45,62,81],"birational":[4,46],"lifts":[5],"of":[6,17,35,48,53,86,89],"Sch\u00fctzenberger":[7],"promotion,":[8],"evacuation,":[9],"the":[11,33],"RSK":[12],"correspondence":[13],"defined":[14],"in":[15,28],"terms":[16],"toggles.":[18],"Using":[19],"this":[20,41],"perspective,":[21],"we":[22,63],"prove":[23],"that":[24,57,65],"certain":[25,87],"chain":[26,60,90],"statistics":[27],"rectangles":[29],"shift":[30],"predictably":[31],"under":[32],"action":[34],"these":[36,59,66,76],"maps.":[37],"then":[39],"use":[40],"to":[42],"construct":[43],"versions":[47],"Rubey's":[49],"bijections":[50],"between":[51],"fillings":[52],"equivalent":[54],"moon":[55,93,105],"polyominoes":[56],"preserve":[58],"statistics,":[61],"show":[64],"maps":[67],"form":[68],"a":[69],"commuting":[70],"diagram.":[71],"also":[73],"discuss":[74],"how":[75],"results":[77],"imply":[78],"Ehrhart":[79,82],"equivalence":[80],"quasi-polynomial":[83],"period":[84,107],"collapse":[85,108],"analogues":[88],"polytopes":[91],"for":[92],"polyominoes.Mathematics":[94],"Subject":[95],"Classifications:":[96],"05E18,":[97],"05A05,":[98],"05A19,":[99],"52B05Keywords:":[100],"Birational":[101],"rowmotion,":[102],"Robinson-Schensted-Knuth":[103],"correspondence,":[104],"polyominoes,":[106]},"counts_by_year":[],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2025-10-10T00:00:00"}