{"id":"https://openalex.org/W3109927296","doi":"https://doi.org/10.1109/icstcc50638.2020.9259634","title":"Shuffle-Rational Series: Recognizability and Realizations","display_name":"Shuffle-Rational Series: Recognizability and Realizations","publication_year":2020,"publication_date":"2020-10-08","ids":{"openalex":"https://openalex.org/W3109927296","doi":"https://doi.org/10.1109/icstcc50638.2020.9259634","mag":"3109927296"},"language":"en","primary_location":{"id":"doi:10.1109/icstcc50638.2020.9259634","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icstcc50638.2020.9259634","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 24th International Conference on System Theory, Control and Computing (ICSTCC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101997018","display_name":"G. S. Venkatesh","orcid":"https://orcid.org/0000-0002-1905-4274"},"institutions":[{"id":"https://openalex.org/I81365321","display_name":"Old Dominion University","ror":"https://ror.org/04zjtrb98","country_code":"US","type":"education","lineage":["https://openalex.org/I81365321"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"G. S. Venkatesh","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Old Dominion University, Norfolk, Virginia, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Old Dominion University, Norfolk, Virginia, USA","institution_ids":["https://openalex.org/I81365321"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110056497","display_name":"W. Steven Gray","orcid":"https://orcid.org/0000-0001-7620-9474"},"institutions":[{"id":"https://openalex.org/I81365321","display_name":"Old Dominion University","ror":"https://ror.org/04zjtrb98","country_code":"US","type":"education","lineage":["https://openalex.org/I81365321"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"W. Steven Gray","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Old Dominion University, Norfolk, Virginia, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Old Dominion University, Norfolk, Virginia, USA","institution_ids":["https://openalex.org/I81365321"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101997018"],"corresponding_institution_ids":["https://openalex.org/I81365321"],"apc_list":null,"apc_paid":null,"fwci":0.5454,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.64294913,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"53","issue":null,"first_page":"404","last_page":"411"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9807000160217285,"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":0.9807000160217285,"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":0.9781000018119812,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9771999716758728,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/formal-power-series","display_name":"Formal power series","score":0.799430251121521},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.6833829879760742},{"id":"https://openalex.org/keywords/power-series","display_name":"Power series","score":0.6307884454727173},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5919559001922607},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.555915117263794},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.5416915416717529},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5100951790809631},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.47475603222846985},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4247405230998993},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3801007866859436},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.37304171919822693},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3575899004936218},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12149190902709961},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07562023401260376}],"concepts":[{"id":"https://openalex.org/C151746172","wikidata":"https://www.wikidata.org/wiki/Q1003025","display_name":"Formal power series","level":3,"score":0.799430251121521},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.6833829879760742},{"id":"https://openalex.org/C73905626","wikidata":"https://www.wikidata.org/wiki/Q206925","display_name":"Power series","level":2,"score":0.6307884454727173},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5919559001922607},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.555915117263794},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.5416915416717529},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5100951790809631},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.47475603222846985},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4247405230998993},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3801007866859436},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.37304171919822693},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3575899004936218},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12149190902709961},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07562023401260376},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icstcc50638.2020.9259634","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icstcc50638.2020.9259634","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 24th International Conference on System Theory, Control and Computing (ICSTCC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W21271011","https://openalex.org/W1493137254","https://openalex.org/W1506437980","https://openalex.org/W1565930783","https://openalex.org/W1582260751","https://openalex.org/W1928040250","https://openalex.org/W1964373008","https://openalex.org/W1978284517","https://openalex.org/W1983117693","https://openalex.org/W1984151763","https://openalex.org/W2003618478","https://openalex.org/W2007841256","https://openalex.org/W2046763377","https://openalex.org/W2071844947","https://openalex.org/W2114940173","https://openalex.org/W2166496770","https://openalex.org/W2180840685","https://openalex.org/W2320306398","https://openalex.org/W2321285931","https://openalex.org/W2574856630","https://openalex.org/W2584784847","https://openalex.org/W3103353101","https://openalex.org/W3160954918","https://openalex.org/W4292872153","https://openalex.org/W4388320797"],"related_works":["https://openalex.org/W2372176563","https://openalex.org/W1993426457","https://openalex.org/W2085702369","https://openalex.org/W4254345474","https://openalex.org/W2369485329","https://openalex.org/W2055618200","https://openalex.org/W1993206725","https://openalex.org/W2390916851","https://openalex.org/W2156580910","https://openalex.org/W3023620486"],"abstract_inverted_index":{"The":[0],"notion":[1],"of":[2,19,22,25,34,38],"a":[3,26,72],"shuffle-rational":[4],"formal":[5],"power":[6],"series":[7],"is":[8,50,67],"introduced.":[9],"Then":[10],"two":[11],"equivalent":[12],"characterizations":[13],"are":[14],"presented,":[15],"one":[16],"in":[17,31,78],"terms":[18],"an":[20,64],"analogue":[21],"Sch\u00fctzenberger's":[23],"recognizability":[24],"series,":[27],"and":[28],"the":[29,32,55,60],"other":[30],"context":[33],"state":[35],"space":[36],"realizations":[37],"nonlinear":[39],"input-output":[40],"systems":[41],"represented":[42],"by":[43],"Chen-Fliess":[44],"series.":[45],"An":[46],"underlying":[47],"computational":[48],"framework":[49],"also":[51],"described":[52],"which":[53],"employs":[54],"Hopf":[56],"algebra":[57],"associated":[58],"with":[59,75],"shuffle":[61],"group.":[62],"As":[63],"application,":[65],"it":[66],"shown":[68],"how":[69],"to":[70],"model":[71],"bilinear":[73],"system":[74],"output":[76],"saturation":[77],"this":[79],"context.":[80]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}