{"id":"https://openalex.org/W167251983","doi":"https://doi.org/10.1007/978-94-010-2675-8_4","title":"An Introduction to Stochastic Differential Equations on Manifolds","display_name":"An Introduction to Stochastic Differential Equations on Manifolds","publication_year":1973,"publication_date":"1973-01-01","ids":{"openalex":"https://openalex.org/W167251983","doi":"https://doi.org/10.1007/978-94-010-2675-8_4","mag":"167251983"},"language":"en","primary_location":{"id":"doi:10.1007/978-94-010-2675-8_4","doi":"https://doi.org/10.1007/978-94-010-2675-8_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-94-010-2675-8_4","pdf_url":null,"source":{"id":"https://openalex.org/S4306463937","display_name":"Springer eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Geometric Methods in System Theory","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W2503996919","display_name":"Geometric Methods in System Theory"},"type":"book-chapter","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/A5111299161","display_name":"J. M. C. Clark","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"J. M. C. Clark","raw_affiliation_strings":["Department of Computing and Control, Imperial College, London, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computing and Control, Imperial College, London, UK","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111299161"],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.08843537,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"131","last_page":"149"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9682999849319458,"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"}},"topics":[{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9682999849319458,"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"}},{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.008700000122189522,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.003100000089034438,"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/stochastic-differential-equations","display_name":"stochastic differential equations","score":0.8769999742507935},{"id":"https://openalex.org/keywords/manifolds","display_name":"manifolds","score":0.9729999899864197},{"id":"https://openalex.org/keywords/white-noise","display_name":"white noise","score":0.765999972820282},{"id":"https://openalex.org/keywords/ito-calculus","display_name":"It\u00f4 calculus","score":0.6890000104904175},{"id":"https://openalex.org/keywords/stochastic-integrals","display_name":"stochastic integration","score":0.7739999890327454},{"id":"https://openalex.org/keywords/stratonovich-calculus","display_name":"Stratonovich calculus","score":0.8579999804496765},{"id":"https://openalex.org/keywords/dynamical-systems","display_name":"dynamical systems","score":0.6890000104904175},{"id":"https://openalex.org/keywords/stochastic-processes-on-manifolds","display_name":"stochastic processes on manifolds","score":0.8309999704360962}],"concepts":[{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.615969181060791},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.5438587665557861},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.505399227142334},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45255860686302185},{"id":"https://openalex.org/C2779256446","wikidata":"https://www.wikidata.org/wiki/Q33959","display_name":"Nice","level":2,"score":0.42027658224105835},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41978034377098083},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3873865604400635},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3411412239074707},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.32676994800567627},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C558565934","wikidata":"https://www.wikidata.org/wiki/Q2743","display_name":"Musical","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-94-010-2675-8_4","doi":"https://doi.org/10.1007/978-94-010-2675-8_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-94-010-2675-8_4","pdf_url":null,"source":{"id":"https://openalex.org/S4306463937","display_name":"Springer eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Geometric Methods in System Theory","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W240099506","https://openalex.org/W598456321","https://openalex.org/W1514122540","https://openalex.org/W1542505931","https://openalex.org/W1549258098","https://openalex.org/W1566263627","https://openalex.org/W1576733085","https://openalex.org/W1973376127","https://openalex.org/W1983617554","https://openalex.org/W2005711636","https://openalex.org/W2032006621","https://openalex.org/W2048983163","https://openalex.org/W3150827945"],"related_works":["https://openalex.org/W157321037","https://openalex.org/W75858432","https://openalex.org/W1542505931","https://openalex.org/W2911434722","https://openalex.org/W1566263627","https://openalex.org/W6992701414","https://openalex.org/W7126385574","https://openalex.org/W171914860","https://openalex.org/W173933439","https://openalex.org/W161832988"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2016-06-24T00:00:00"}
