{"id":"https://openalex.org/W852333730","doi":"https://doi.org/10.13182/nse92-a23937","title":"Probabilistic Reactor Dynamics\u2014I: The Theory of Continuous Event Trees","display_name":"Probabilistic Reactor Dynamics\u2014I: The Theory of Continuous Event Trees","publication_year":1992,"publication_date":"1992-07-01","ids":{"openalex":"https://openalex.org/W852333730","doi":"https://doi.org/10.13182/nse92-a23937","mag":"852333730"},"language":"en","primary_location":{"id":"doi:10.13182/nse92-a23937","doi":"https://doi.org/10.13182/nse92-a23937","is_oa":false,"landing_page_url":"https://doi.org/10.13182/nse92-a23937","pdf_url":null,"source":{"id":"https://openalex.org/S117777261","display_name":"Nuclear Science and Engineering","issn_l":"0029-5639","issn":["0029-5639","1943-748X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nuclear Science and Engineering","raw_type":"journal-article"},"volume":null,"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/A5048193505","display_name":"Jacques Devooght","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"J. Devooght","raw_affiliation_strings":["Universit\u00e9 Libre de Bruxelles, Service de M\u00e9trologie Nucl\u00e9aire (C.P.I65) 50, avenue F. D. Roosevelt, 1050 Brussels, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Libre de Bruxelles, Service de M\u00e9trologie Nucl\u00e9aire (C.P.I65) 50, avenue F. D. Roosevelt, 1050 Brussels, Belgium","institution_ids":["https://openalex.org/I132053463"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085970288","display_name":"Carol S. Smidts","orcid":"https://orcid.org/0000-0001-7867-023X","observed_orcids":["https://orcid.org/0000-0001-7867-023X"]},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"C. Smidts","raw_affiliation_strings":["Universit\u00e9 Libre de Bruxelles, Service de M\u00e9trologie Nucl\u00e9aire (C.P.I65) 50, avenue F. D. Roosevelt, 1050 Brussels, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Libre de Bruxelles, Service de M\u00e9trologie Nucl\u00e9aire (C.P.I65) 50, avenue F. D. Roosevelt, 1050 Brussels, Belgium","institution_ids":["https://openalex.org/I132053463"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I132053463"],"apc_list":null,"apc_paid":null,"fwci":31.2862,"has_fulltext":false,"cited_by_count":154,"citation_normalized_percentile":{"value":0.99799742,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"111","issue":"3","first_page":"229","last_page":"240"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10597","display_name":"Nuclear reactor physics and engineering","score":0.7660999894142151,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10597","display_name":"Nuclear reactor physics and engineering","score":0.7660999894142151,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12560","display_name":"Nuclear Engineering Thermal-Hydraulics","score":0.16859999299049377,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11357","display_name":"Risk and Safety Analysis","score":0.044599998742341995,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/chapman-kolmogorov-equation","display_name":"Chapman-Kolmogorov equation","score":0.906000018119812},{"id":"https://openalex.org/keywords/markov-processes","display_name":"Markov processes","score":0.6940000057220459},{"id":"https://openalex.org/keywords/kolmogorov-backward-equation","display_name":"backward Kolmogorov equation","score":0.972000002861023},{"id":"https://openalex.org/keywords/reactor-safety-analysis","display_name":"reactor safety analysis","score":0.6159999966621399},{"id":"https://openalex.org/keywords/human-error","display_name":"human error","score":0.7110000252723694},{"id":"https://openalex.org/keywords/phase-space-trajectories","display_name":"phase trajectories","score":0.5979999899864197}],"concepts":[{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.7295500040054321},{"id":"https://openalex.org/C65898831","wikidata":"https://www.wikidata.org/wiki/Q574852","display_name":"Event tree","level":3,"score":0.6640986204147339},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.5076404809951782},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5069701671600342},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4935659170150757},{"id":"https://openalex.org/C2779662365","wikidata":"https://www.wikidata.org/wiki/Q5416694","display_name":"Event (particle physics)","level":2,"score":0.4770771265029907},{"id":"https://openalex.org/C2780406361","wikidata":"https://www.wikidata.org/wiki/Q377968","display_name":"Pressurized water reactor","level":2,"score":0.4597281813621521},{"id":"https://openalex.org/C128805008","wikidata":"https://www.wikidata.org/wiki/Q722878","display_name":"Master equation","level":3,"score":0.45809870958328247},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.45565059781074524},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.4473407566547394},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.4347110986709595},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.42785751819610596},{"id":"https://openalex.org/C67334161","wikidata":"https://www.wikidata.org/wiki/Q457904","display_name":"Continuous stirred-tank reactor","level":2,"score":0.42585471272468567},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4246244728565216},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.42071232199668884},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.41301560401916504},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3741290271282196},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2529907822608948},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21849653124809265},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11898490786552429},{"id":"https://openalex.org/C185544564","wikidata":"https://www.wikidata.org/wiki/Q81197","display_name":"Nuclear physics","level":1,"score":0.10914590954780579},{"id":"https://openalex.org/C107094494","wikidata":"https://www.wikidata.org/wiki/Q428453","display_name":"Fault tree analysis","level":2,"score":0.0957697331905365},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.08788475394248962},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0},{"id":"https://openalex.org/C42360764","wikidata":"https://www.wikidata.org/wiki/Q83588","display_name":"Chemical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C200601418","wikidata":"https://www.wikidata.org/wiki/Q2193887","display_name":"Reliability engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.13182/nse92-a23937","doi":"https://doi.org/10.13182/nse92-a23937","is_oa":false,"landing_page_url":"https://doi.org/10.13182/nse92-a23937","pdf_url":null,"source":{"id":"https://openalex.org/S117777261","display_name":"Nuclear Science and Engineering","issn_l":"0029-5639","issn":["0029-5639","1943-748X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547","https://openalex.org/P4310320449"],"host_organization_lineage_names":["Taylor & Francis","Informa"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Nuclear Science and Engineering","raw_type":"journal-article"},{"id":"pmh:oai:dipot.ulb.ac.be:2013/171477","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/171477","pdf_url":null,"source":{"id":"https://openalex.org/S4306401063","display_name":"D\u00e9p\u00f4t institutionnel de l'Universit\u00e9 libre de Bruxelles (Universit\u00e9 Libre de Bruxelles)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I132053463","host_organization_name":"Universit\u00e9 Libre de Bruxelles","host_organization_lineage":["https://openalex.org/I132053463"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Nuclear science and engineering, 111 (3","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W23975197","https://openalex.org/W125341367","https://openalex.org/W751044823","https://openalex.org/W1542072991","https://openalex.org/W1554532768","https://openalex.org/W1965444065","https://openalex.org/W1966617542","https://openalex.org/W1980269662","https://openalex.org/W1999486339","https://openalex.org/W2058530497","https://openalex.org/W2059696694","https://openalex.org/W2073652676","https://openalex.org/W2086290258","https://openalex.org/W2087917144","https://openalex.org/W2092531916","https://openalex.org/W2315473342","https://openalex.org/W2321762697","https://openalex.org/W2328151902","https://openalex.org/W2594021542","https://openalex.org/W2738691129","https://openalex.org/W2742470390","https://openalex.org/W3145241921","https://openalex.org/W4300767739","https://openalex.org/W4300810540"],"related_works":["https://openalex.org/W31272877","https://openalex.org/W2091749126","https://openalex.org/W2053331491","https://openalex.org/W120633306","https://openalex.org/W2223858996","https://openalex.org/W2518421665","https://openalex.org/W7096154443","https://openalex.org/W1571732326","https://openalex.org/W1905329136","https://openalex.org/W751044823"],"abstract_inverted_index":{"The":[0,103],"concept":[1],"of":[2,28,34,41,43,48,58,122],"probabilistic":[3],"reactor":[4,11,36,80],"dynamics":[5,12],"is":[6,13,62,81,106],"formalized":[7],"in":[8,21,31,82,95],"which":[9],"deterministic":[10,19],"supplemented":[14],"by":[15],"the":[16,32,35,69,73,79,123,126],"fact":[17],"that":[18,78],"trajectories":[20,26],"phase-space":[22],"switch":[23],"to":[24,108,131],"other":[25],"because":[27],"stochastic":[29],"changes":[30],"structure":[33],"such":[37],"as":[38,45],"a":[39,46,49,65,83,96,134],"change":[40],"state":[42,84,98],"components":[44],"result":[47],"malfunction,":[50],"regulation":[51],"feedback,":[52],"or":[53],"human":[54],"error.":[55],"A":[56,116],"set":[57],"partial":[59],"differential":[60],"equations":[61],"obtained":[63],"under":[64],"Markovian":[66],"assumption":[67],"from":[68,133],"Chapman-Kolmogorov":[70],"equation":[71,119],"giving":[72],"probability":[74,124],"\u03c0(x,":[75],"i,":[76],"t)":[77],"x":[85,88],"where":[86,112],"vector":[87],"describes":[89],"neutronic":[90],"and":[91,94,125],"ther-mohydraulic":[92],"variables,":[93],"component":[97],"i":[99],"at":[100],"time":[101,128],"t.":[102],"integral":[104],"form":[105],"equivalent":[107],"an":[109],"event":[110],"tree":[111],"branching":[113],"occurs":[114],"continuously.":[115],"backward":[117],"Kolmogorov":[118],"allows":[120],"evaluation":[121],"average":[127],"for":[129],"x(t)":[130],"escape":[132],"given":[135],"safety":[136],"domain.":[137]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-10-26T11:51:55.731654","created_date":"2016-06-24T00:00:00"}