{"id":"https://openalex.org/W2595764319","doi":"https://doi.org/10.37236/3579","title":"Homomesy in Products of Two Chains","display_name":"Homomesy in Products of Two Chains","publication_year":2015,"publication_date":"2015-07-01","ids":{"openalex":"https://openalex.org/W2595764319","doi":"https://doi.org/10.37236/3579","mag":"2595764319"},"language":"en","primary_location":{"id":"doi:10.37236/3579","is_oa":true,"landing_page_url":"https://doi.org/10.37236/3579","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v22i3p4/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/v22i3p4/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032538374","display_name":"James Propp","orcid":null},"institutions":[{"id":"https://openalex.org/I133738476","display_name":"University of Massachusetts Lowell","ror":"https://ror.org/03hamhx47","country_code":"US","type":"education","lineage":["https://openalex.org/I133738476"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"James Propp","raw_affiliation_strings":["University of Massachusetts Lowell\r\nDepartment of Mathematics","University of Massachusetts Lowell\nDepartment of Mathematics"],"affiliations":[{"raw_affiliation_string":"University of Massachusetts Lowell\r\nDepartment of Mathematics","institution_ids":["https://openalex.org/I133738476"]},{"raw_affiliation_string":"University of Massachusetts Lowell\nDepartment of Mathematics","institution_ids":["https://openalex.org/I133738476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071443532","display_name":"Tom Roby","orcid":null},"institutions":[{"id":"https://openalex.org/I140172145","display_name":"University of Connecticut","ror":"https://ror.org/02der9h97","country_code":"US","type":"education","lineage":["https://openalex.org/I140172145"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tom Roby","raw_affiliation_strings":["University of Connecticut\r\nDepartment of Mathematics","University of Connecticut\nDepartment of Mathematics"],"affiliations":[{"raw_affiliation_string":"University of Connecticut\r\nDepartment of Mathematics","institution_ids":["https://openalex.org/I140172145"]},{"raw_affiliation_string":"University of Connecticut\nDepartment of Mathematics","institution_ids":["https://openalex.org/I140172145"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5032538374"],"corresponding_institution_ids":["https://openalex.org/I133738476"],"apc_list":null,"apc_paid":null,"fwci":12.8581,"has_fulltext":true,"cited_by_count":57,"citation_normalized_percentile":{"value":0.99545684,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"22","issue":"3","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":0.9998000264167786,"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":0.9998000264167786,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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":0.7896420955657959},{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.7323821783065796},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7119985222816467},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6845386028289795},{"id":"https://openalex.org/keywords/young-tableau","display_name":"Young tableau","score":0.5398392677307129},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.5132963061332703},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5074693560600281},{"id":"https://openalex.org/keywords/action","display_name":"Action (physics)","score":0.502497673034668},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4751467704772949},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3419262170791626},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.25224876403808594},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06358963251113892}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7896420955657959},{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.7323821783065796},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7119985222816467},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6845386028289795},{"id":"https://openalex.org/C165368118","wikidata":"https://www.wikidata.org/wiki/Q2166280","display_name":"Young tableau","level":2,"score":0.5398392677307129},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.5132963061332703},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5074693560600281},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.502497673034668},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4751467704772949},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3419262170791626},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.25224876403808594},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06358963251113892},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/3579","is_oa":true,"landing_page_url":"https://doi.org/10.37236/3579","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v22i3p4/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"}],"best_oa_location":{"id":"doi:10.37236/3579","is_oa":true,"landing_page_url":"https://doi.org/10.37236/3579","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v22i3p4/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":[{"id":"https://openalex.org/G4356075636","display_name":"Deterministic analogues of random processes","funder_award_id":"1001905","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2595764319.pdf","grobid_xml":"https://content.openalex.org/works/W2595764319.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W1518841438","https://openalex.org/W1532506831","https://openalex.org/W1554619904","https://openalex.org/W1579213680","https://openalex.org/W1680670734","https://openalex.org/W1898987871","https://openalex.org/W1977146127","https://openalex.org/W1977467370","https://openalex.org/W2006159741","https://openalex.org/W2013327405","https://openalex.org/W2018542542","https://openalex.org/W2029308197","https://openalex.org/W2029948740","https://openalex.org/W2034224223","https://openalex.org/W2042537647","https://openalex.org/W2055669112","https://openalex.org/W2111084941","https://openalex.org/W2130710312","https://openalex.org/W2132405036","https://openalex.org/W2134788705","https://openalex.org/W2165513768","https://openalex.org/W2171984275","https://openalex.org/W2329095262","https://openalex.org/W4230724380","https://openalex.org/W4285719527","https://openalex.org/W4300647413","https://openalex.org/W4301937487","https://openalex.org/W6601356614"],"related_works":["https://openalex.org/W2964055078","https://openalex.org/W2106070061","https://openalex.org/W4300133916","https://openalex.org/W3160399941","https://openalex.org/W2952613304","https://openalex.org/W4293197502","https://openalex.org/W2471328753","https://openalex.org/W2952295216","https://openalex.org/W4299355653","https://openalex.org/W4226304755"],"abstract_inverted_index":{"Many":[0],"invertible":[1],"actions":[2,107,134],"$\\tau$":[3],"on":[4,17,65,108,115,135],"a":[5,13,71,85,100,140],"set":[6,47,67],"$\\mathcal{S}$":[7,35],"of":[8,29,42,61,68,70,90,102,118,124,143,149],"combinatorial":[9],"objects,":[10],"along":[11],"with":[12],"natural":[14],"statistic":[15],"$f$":[16,30,43],"$\\mathcal{S}$,":[18],"exhibit":[19],"the":[20,27,37,40,45,59,62,66,130,144],"following":[21],"property":[22],"which":[23],"we":[24],"dub":[25],"homomesy:":[26],"average":[28,41],"over":[31,44],"each":[32],"$\\tau$-orbit":[33],"in":[34,56,58,81,99],"is":[36],"same":[38],"as":[39],"whole":[46],"$\\mathcal{S}$.":[48],"This":[49],"phenomenon":[50],"was":[51],"first":[52],"noticed":[53],"by":[54],"Panyushev":[55],"2007":[57],"context":[60],"rowmotion":[63,131],"action":[64,114],"antichains":[69],"root":[72],"poset;":[73],"Armstrong,":[74],"Stump,":[75],"and":[76,129,132],"Thomas":[77],"proved":[78],"Panyushev's":[79],"conjecture":[80],"2011.":[82],"We":[83,138],"describe":[84],"theoretical":[86],"framework":[87],"for":[88,147],"results":[89],"this":[91],"kind":[92],"that":[93],"applies":[94],"more":[95],"broadly,":[96],"giving":[97],"examples":[98],"variety":[101],"contexts.":[103],"These":[104],"include":[105],"linear":[106],"vector":[109],"spaces,":[110],"sandpile":[111],"dynamics,":[112],"Suter's":[113],"certain":[116,136],"subposets":[117],"Young's":[119],"Lattice,":[120],"Lyness":[121],"5-cycles,":[122],"promotion":[123,133],"rectangular":[125],"semi-standard":[126],"Young":[127],"tableaux,":[128],"posets.":[137],"give":[139],"detailed":[141],"description":[142],"latter":[145],"situation":[146],"products":[148],"two":[150],"chains.":[151]},"counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
