{"id":"https://openalex.org/W2030501645","doi":"https://doi.org/10.1016/s0167-6911(02)00120-2","title":"Markovianity of a subset of components of a Markov process","display_name":"Markovianity of a subset of components of a Markov process","publication_year":2002,"publication_date":"2002-07-01","ids":{"openalex":"https://openalex.org/W2030501645","doi":"https://doi.org/10.1016/s0167-6911(02)00120-2","mag":"2030501645"},"language":"en","primary_location":{"id":"doi:10.1016/s0167-6911(02)00120-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-6911(02)00120-2","pdf_url":null,"source":{"id":"https://openalex.org/S56603566","display_name":"Systems & Control Letters","issn_l":"0167-6911","issn":["0167-6911","1872-7956"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Systems & Control Letters","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/A5046926964","display_name":"P.I. Kitsul","orcid":null},"institutions":[{"id":"https://openalex.org/I152014189","display_name":"Minnesota State University, Mankato","ror":"https://ror.org/04att9732","country_code":"US","type":"education","lineage":["https://openalex.org/I152014189","https://openalex.org/I91221267"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"P.I. Kitsul","raw_affiliation_strings":["Department of Mathematics and Statistics, Minnesota State University, Mankato, MN 56001, USA","Department of Mathematics and Statistics, Minnesota State University, Mankato, MN, 56001 USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Minnesota State University, Mankato, MN 56001, USA","institution_ids":["https://openalex.org/I152014189"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Minnesota State University, Mankato, MN, 56001 USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052543866","display_name":"R. Liptser","orcid":null},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"R.S. Liptser","raw_affiliation_strings":["Department of Electrical Engineering, Tel Aviv University, Tel Aviv, Israel","Department of Electrical Engineering, Tel Aviv University, Tel Aviv, Israel#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Department of Electrical Engineering, Tel Aviv University, Tel Aviv, Israel#TAB#","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031067660","display_name":"A. P. Serebrovski","orcid":null},"institutions":[{"id":"https://openalex.org/I4210107660","display_name":"Institute for Information Transmission Problems","ror":"https://ror.org/013w2d378","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210097085","https://openalex.org/I4210107660"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"A.P. Serebrovski","raw_affiliation_strings":["Laboratory of Stochastic Dynamical Systems, Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Laboratory of Stochastic Dynamical Systems, Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow, Russia","institution_ids":["https://openalex.org/I4210107660"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5046926964"],"corresponding_institution_ids":["https://openalex.org/I152014189"],"apc_list":{"value":2750,"currency":"USD","value_usd":2750},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11880409,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"46","issue":"4","first_page":"237","last_page":"242"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13935","display_name":"Mathematical Control Systems and Analysis","score":0.8104000091552734,"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"}},"topics":[{"id":"https://openalex.org/T13935","display_name":"Mathematical Control Systems and Analysis","score":0.8104000091552734,"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"}},{"id":"https://openalex.org/T13234","display_name":"advanced mathematical theories","score":0.8065000176429749,"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"}},{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.7757999897003174,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7602547407150269},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.7558609247207642},{"id":"https://openalex.org/keywords/markov-property","display_name":"Markov property","score":0.650885820388794},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.6329413652420044},{"id":"https://openalex.org/keywords/time-reversibility","display_name":"Time reversibility","score":0.6073393821716309},{"id":"https://openalex.org/keywords/markov-renewal-process","display_name":"Markov renewal process","score":0.5740135312080383},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5734400153160095},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.4943864345550537},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.46886497735977173},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.46348267793655396},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.43755146861076355},{"id":"https://openalex.org/keywords/variable-order-markov-model","display_name":"Variable-order Markov model","score":0.4259055554866791},{"id":"https://openalex.org/keywords/markov-kernel","display_name":"Markov kernel","score":0.4159674346446991},{"id":"https://openalex.org/keywords/markov-model","display_name":"Markov model","score":0.37052208185195923},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18479982018470764},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1155599057674408}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7602547407150269},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.7558609247207642},{"id":"https://openalex.org/C189973286","wikidata":"https://www.wikidata.org/wiki/Q176695","display_name":"Markov property","level":4,"score":0.650885820388794},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.6329413652420044},{"id":"https://openalex.org/C98735484","wikidata":"https://www.wikidata.org/wiki/Q186971","display_name":"Time reversibility","level":5,"score":0.6073393821716309},{"id":"https://openalex.org/C163540672","wikidata":"https://www.wikidata.org/wiki/Q1115431","display_name":"Markov renewal process","level":5,"score":0.5740135312080383},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5734400153160095},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.4943864345550537},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.46886497735977173},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.46348267793655396},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.43755146861076355},{"id":"https://openalex.org/C54907487","wikidata":"https://www.wikidata.org/wiki/Q7915688","display_name":"Variable-order Markov model","level":4,"score":0.4259055554866791},{"id":"https://openalex.org/C106666656","wikidata":"https://www.wikidata.org/wiki/Q6771323","display_name":"Markov kernel","level":5,"score":0.4159674346446991},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.37052208185195923},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18479982018470764},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1155599057674408},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0167-6911(02)00120-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-6911(02)00120-2","pdf_url":null,"source":{"id":"https://openalex.org/S56603566","display_name":"Systems & Control Letters","issn_l":"0167-6911","issn":["0167-6911","1872-7956"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Systems & Control Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1870216917","https://openalex.org/W1963921091","https://openalex.org/W1977168113","https://openalex.org/W2063084473","https://openalex.org/W2085536277","https://openalex.org/W2123430260","https://openalex.org/W2799137445","https://openalex.org/W4214585779"],"related_works":["https://openalex.org/W1557802078","https://openalex.org/W2081606708","https://openalex.org/W3022014775","https://openalex.org/W2019735591","https://openalex.org/W2024318042","https://openalex.org/W3130462525","https://openalex.org/W1974839821","https://openalex.org/W2551590868","https://openalex.org/W2393621008","https://openalex.org/W1534371740"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}