{"id":"https://openalex.org/W1491338909","doi":"https://doi.org/10.3233/fi-2011-505","title":"Multiplicative Transition Systems","display_name":"Multiplicative Transition Systems","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W1491338909","doi":"https://doi.org/10.3233/fi-2011-505","mag":"1491338909"},"language":"en","primary_location":{"id":"doi:10.3233/fi-2011-505","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2011-505","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-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/A5021492778","display_name":"J\u00f3zef Winkowski","orcid":null},"institutions":[{"id":"https://openalex.org/I4210087266","display_name":"Institute of Computer Science","ror":"https://ror.org/003fvp964","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210087266","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"government","lineage":["https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"J\u00f3zef Winkowski","raw_affiliation_strings":["Institute of Computer Science, Polish Academy of Sciences, Ordona 21, 01-237 Warszawa, Poland. wink@ipipan.waw.pl","(Correspd.) (This work of the author has been supported by the Inst. of Comp. Sci. of the Polish Acad. of Sci.) Institute of Computer Science, Polish Academy of Sciences, Ordona 21, 01-237 Warszaw ...#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, Polish Academy of Sciences, Ordona 21, 01-237 Warszawa, Poland. wink@ipipan.waw.pl","institution_ids":["https://openalex.org/I4210087266","https://openalex.org/I99542240"]},{"raw_affiliation_string":"(Correspd.) (This work of the author has been supported by the Inst. of Comp. Sci. of the Polish Acad. of Sci.) Institute of Computer Science, Polish Academy of Sciences, Ordona 21, 01-237 Warszaw ...#TAB#","institution_ids":["https://openalex.org/I99542240"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5021492778"],"corresponding_institution_ids":["https://openalex.org/I4210087266","https://openalex.org/I99542240"],"apc_list":null,"apc_paid":null,"fwci":0.5935,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.66095516,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"109","issue":"2","first_page":"201","last_page":"222"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9962999820709229,"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"}},"topics":[{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9962999820709229,"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"}},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9929999709129333,"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"}},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9850999712944031,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/transition","display_name":"Transition (genetics)","score":0.5163739919662476},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.5096056461334229},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39680227637290955},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36716926097869873},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.12563735246658325},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06253045797348022}],"concepts":[{"id":"https://openalex.org/C194232998","wikidata":"https://www.wikidata.org/wiki/Q1606712","display_name":"Transition (genetics)","level":3,"score":0.5163739919662476},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.5096056461334229},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39680227637290955},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36716926097869873},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.12563735246658325},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06253045797348022},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3233/fi-2011-505","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2011-505","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.158.2431","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.158.2431","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ipipan.waw.pl/~wink/w3-9,11,22.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.173.8652","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.173.8652","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ipipan.waw.pl/%7Ewink/mtsr-10%2C9%2C21.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.212.4489","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.212.4489","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ipipan.waw.pl/~wink/w3-10,3,7.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W110217058","https://openalex.org/W772496925","https://openalex.org/W1482381349","https://openalex.org/W1702410795","https://openalex.org/W1705394006","https://openalex.org/W1854727386","https://openalex.org/W1897234491","https://openalex.org/W2000539698","https://openalex.org/W2017906621","https://openalex.org/W2032838513","https://openalex.org/W2055514745","https://openalex.org/W2080364897","https://openalex.org/W2120713972","https://openalex.org/W2173961470","https://openalex.org/W2470948957","https://openalex.org/W3022429701"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"The":[0,68],"paper":[1],"is":[2],"concerned":[3],"with":[4,31,88,97],"algebras":[5],"whose":[6],"elements":[7,49,98],"can":[8,41,52,70,100],"be":[9,42,53,71],"used":[10],"to":[11,20,33],"represent":[12,101],"runs":[13],"of":[14,59,78],"a":[15,18,21,34,60,75],"system":[16],"from":[17],"state":[19],"state.":[22],"These":[23],"algebras,":[24],"called":[25,38],"multiplicative":[26],"transition":[27],"systems,":[28],"are":[29],"categories":[30],"respect":[32],"partial":[35],"binary":[36],"operation":[37],"composition.":[39],"They":[40],"characterized":[43],"by":[44,55],"axioms":[45],"such":[46,66],"that":[47],"their":[48],"and":[50,63,92,103],"operations":[51,64],"represented":[54,79],"partially":[56,104],"ordered":[57],"multisets":[58],"certain":[61],"type":[62],"on":[65],"multisets.":[67],"representation":[69],"obtained":[72],"without":[73],"assuming":[74],"discrete":[76],"nature":[77],"elements.":[80],"In":[81],"particular,":[82],"it":[83],"remains":[84],"valid":[85],"for":[86,95],"systems":[87,96],"infinitely":[89],"divisible":[90],"elements,":[91],"thus":[93],"also":[94],"which":[99],"continuous":[102,105],"runs.":[106]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
