{"id":"https://openalex.org/W1768623212","doi":"https://doi.org/10.1007/978-3-642-02930-1_11","title":"Approximating Markov Processes by Averaging","display_name":"Approximating Markov Processes by Averaging","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1768623212","doi":"https://doi.org/10.1007/978-3-642-02930-1_11","mag":"1768623212"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-02930-1_11","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-02930-1_11","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.research.ed.ac.uk/en/publications/fe005aed-3a43-4782-bf24-bf6e070d37d7","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041838338","display_name":"Philippe Chaput","orcid":null},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Philippe Chaput","raw_affiliation_strings":["School of Computer Science, McGill University, Canada"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, McGill University, Canada","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111482850","display_name":"Vincent Danos","orcid":null},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Vincent Danos","raw_affiliation_strings":["School of Informatics, University of Edinburgh, UK"],"affiliations":[{"raw_affiliation_string":"School of Informatics, University of Edinburgh, UK","institution_ids":["https://openalex.org/I98677209"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068822568","display_name":"Prakash Panangaden","orcid":"https://orcid.org/0000-0001-8763-6172"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Prakash Panangaden","raw_affiliation_strings":["School of Computer Science, McGill University, Canada"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, McGill University, Canada","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070609290","display_name":"Gordon Plotkin","orcid":"https://orcid.org/0000-0001-8496-6096"},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Gordon Plotkin","raw_affiliation_strings":["School of Informatics, University of Edinburgh, UK"],"affiliations":[{"raw_affiliation_string":"School of Informatics, University of Edinburgh, UK","institution_ids":["https://openalex.org/I98677209"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5041838338"],"corresponding_institution_ids":["https://openalex.org/I5023651"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.6441,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.84712193,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"127","last_page":"138"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9994999766349792,"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/T10142","display_name":"Formal Methods in Verification","score":0.9994999766349792,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9926999807357788,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9894999861717224,"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/bisimulation","display_name":"Bisimulation","score":0.8622519969940186},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5898759961128235},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5652949810028076},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.5326478481292725},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5097665190696716},{"id":"https://openalex.org/keywords/markov-kernel","display_name":"Markov kernel","score":0.435515820980072},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4283389449119568},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.4185151755809784},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3976656496524811},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38086554408073425},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3599822521209717},{"id":"https://openalex.org/keywords/markov-model","display_name":"Markov model","score":0.2551395297050476},{"id":"https://openalex.org/keywords/variable-order-markov-model","display_name":"Variable-order Markov model","score":0.17343798279762268},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08608376979827881}],"concepts":[{"id":"https://openalex.org/C135315306","wikidata":"https://www.wikidata.org/wiki/Q866364","display_name":"Bisimulation","level":2,"score":0.8622519969940186},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5898759961128235},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5652949810028076},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5326478481292725},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5097665190696716},{"id":"https://openalex.org/C106666656","wikidata":"https://www.wikidata.org/wiki/Q6771323","display_name":"Markov kernel","level":5,"score":0.435515820980072},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4283389449119568},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.4185151755809784},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3976656496524811},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38086554408073425},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3599822521209717},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.2551395297050476},{"id":"https://openalex.org/C54907487","wikidata":"https://www.wikidata.org/wiki/Q7915688","display_name":"Variable-order Markov model","level":4,"score":0.17343798279762268},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08608376979827881},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-642-02930-1_11","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-02930-1_11","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:pure.ed.ac.uk:openaire/fe005aed-3a43-4782-bf24-bf6e070d37d7","is_oa":true,"landing_page_url":"https://www.research.ed.ac.uk/en/publications/fe005aed-3a43-4782-bf24-bf6e070d37d7","pdf_url":null,"source":{"id":"https://openalex.org/S4406922455","display_name":"Edinburgh Research Explorer","issn_l":null,"issn":null,"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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Chaput, P, Danos, V, Panangaden, P & Plotkin, G D 2009, Approximating Markov Processes by Averaging. in Automata, Languages and Programming : 36th Internatilonal Collogquium, ICALP 2009, Rhodes, greece, July 5-12, 2009, Proceedings, Part II. vol. 5556, pp. 127-138. https://doi.org/10.1007/978-3-642-02930-1_11","raw_type":"contributionToPeriodical"},{"id":"pmh:oai:pure.ed.ac.uk:publications/42d33387-9c3c-496b-b537-c4ccabc1d734","is_oa":false,"landing_page_url":"http://hdl.handle.net/20.500.11820/42d33387-9c3c-496b-b537-c4ccabc1d734","pdf_url":null,"source":{"id":"https://openalex.org/S4406922455","display_name":"Edinburgh Research Explorer","issn_l":null,"issn":null,"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":"","raw_type":""},{"id":"pmh:oai:pure.ed.ac.uk:publications/fe005aed-3a43-4782-bf24-bf6e070d37d7","is_oa":false,"landing_page_url":"http://hdl.handle.net/20.500.11820/fe005aed-3a43-4782-bf24-bf6e070d37d7","pdf_url":null,"source":{"id":"https://openalex.org/S4406922455","display_name":"Edinburgh Research Explorer","issn_l":null,"issn":null,"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":"","raw_type":""}],"best_oa_location":{"id":"pmh:oai:pure.ed.ac.uk:openaire/fe005aed-3a43-4782-bf24-bf6e070d37d7","is_oa":true,"landing_page_url":"https://www.research.ed.ac.uk/en/publications/fe005aed-3a43-4782-bf24-bf6e070d37d7","pdf_url":null,"source":{"id":"https://openalex.org/S4406922455","display_name":"Edinburgh Research Explorer","issn_l":null,"issn":null,"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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Chaput, P, Danos, V, Panangaden, P & Plotkin, G D 2009, Approximating Markov Processes by Averaging. in Automata, Languages and Programming : 36th Internatilonal Collogquium, ICALP 2009, Rhodes, greece, July 5-12, 2009, Proceedings, Part II. vol. 5556, pp. 127-138. https://doi.org/10.1007/978-3-642-02930-1_11","raw_type":"contributionToPeriodical"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W58260654","https://openalex.org/W572331601","https://openalex.org/W1606156286","https://openalex.org/W1674596735","https://openalex.org/W1698217787","https://openalex.org/W1835855307","https://openalex.org/W1865728679","https://openalex.org/W1949868634","https://openalex.org/W1970862307","https://openalex.org/W1976268573","https://openalex.org/W1981607181","https://openalex.org/W1999626800","https://openalex.org/W2000108089","https://openalex.org/W2005042687","https://openalex.org/W2041243111","https://openalex.org/W2044260813","https://openalex.org/W2056099894","https://openalex.org/W2078103992","https://openalex.org/W2100893927","https://openalex.org/W2123876422","https://openalex.org/W2125781122","https://openalex.org/W2141541459","https://openalex.org/W2152692559","https://openalex.org/W2316686607","https://openalex.org/W4298443330"],"related_works":["https://openalex.org/W2379651310","https://openalex.org/W2113019827","https://openalex.org/W1541249122","https://openalex.org/W33343792","https://openalex.org/W1888844679","https://openalex.org/W2413828414","https://openalex.org/W1560931929","https://openalex.org/W1983335058","https://openalex.org/W2367222340","https://openalex.org/W2016182357"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
