{"id":"https://openalex.org/W2963256109","doi":"https://doi.org/10.1137/140969786","title":"Complexity Reduction in Many Particle Systems with Random Initial Data","display_name":"Complexity Reduction in Many Particle Systems with Random Initial Data","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2963256109","doi":"https://doi.org/10.1137/140969786","mag":"2963256109"},"language":"en","primary_location":{"id":"doi:10.1137/140969786","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140969786","pdf_url":null,"source":{"id":"https://openalex.org/S2911293512","display_name":"SIAM/ASA Journal on Uncertainty Quantification","issn_l":"2166-2525","issn":["2166-2525"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM/ASA Journal on Uncertainty Quantification","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/A5070229308","display_name":"Leonid Berlyand","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Leonid Berlyand","raw_affiliation_strings":["Mathematics"],"affiliations":[{"raw_affiliation_string":"Mathematics","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072292571","display_name":"Pierre\u2010Emmanuel Jabin","orcid":"https://orcid.org/0000-0001-5998-0347"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pierre-Emmanuel Jabin","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5089743932","display_name":"Mykhailo Potomkin","orcid":"https://orcid.org/0000-0002-2384-2011"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mykhailo Potomkin","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5070229308"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0631,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.78893943,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"4","issue":"1","first_page":"446","last_page":"474"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11486","display_name":"Micro and Nano Robotics","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11486","display_name":"Micro and Nano Robotics","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9995999932289124,"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/T10474","display_name":"Material Dynamics and Properties","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.8340708613395691},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.6718684434890747},{"id":"https://openalex.org/keywords/bbgky-hierarchy","display_name":"BBGKY hierarchy","score":0.6410162448883057},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.631532609462738},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5947783589363098},{"id":"https://openalex.org/keywords/hierarchy","display_name":"Hierarchy","score":0.5475987195968628},{"id":"https://openalex.org/keywords/ode","display_name":"Ode","score":0.5330770015716553},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5251802206039429},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5092617273330688},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5062069296836853},{"id":"https://openalex.org/keywords/particle-system","display_name":"Particle system","score":0.5001444816589355},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.49618417024612427},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4491538405418396},{"id":"https://openalex.org/keywords/complex-system","display_name":"Complex system","score":0.4160520136356354},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34227585792541504},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.34000223875045776},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.29013872146606445},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2881622314453125},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10630586743354797},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1039581298828125},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10223850607872009},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07873380184173584}],"concepts":[{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.8340708613395691},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6718684434890747},{"id":"https://openalex.org/C167312068","wikidata":"https://www.wikidata.org/wiki/Q653679","display_name":"BBGKY hierarchy","level":3,"score":0.6410162448883057},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.631532609462738},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5947783589363098},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.5475987195968628},{"id":"https://openalex.org/C34862557","wikidata":"https://www.wikidata.org/wiki/Q178985","display_name":"Ode","level":2,"score":0.5330770015716553},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5251802206039429},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5092617273330688},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5062069296836853},{"id":"https://openalex.org/C179003449","wikidata":"https://www.wikidata.org/wiki/Q1757458","display_name":"Particle system","level":2,"score":0.5001444816589355},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.49618417024612427},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4491538405418396},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.4160520136356354},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34227585792541504},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.34000223875045776},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.29013872146606445},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2881622314453125},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10630586743354797},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1039581298828125},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10223850607872009},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07873380184173584},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","level":1,"score":0.0},{"id":"https://openalex.org/C186603090","wikidata":"https://www.wikidata.org/wiki/Q55505926","display_name":"Distribution function","level":2,"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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:10.1137/140969786","is_oa":false,"landing_page_url":"https://doi.org/10.1137/140969786","pdf_url":null,"source":{"id":"https://openalex.org/S2911293512","display_name":"SIAM/ASA Journal on Uncertainty Quantification","issn_l":"2166-2525","issn":["2166-2525"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM/ASA Journal on Uncertainty Quantification","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1164981395","display_name":null,"funder_award_id":"DMS-1312142","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5736980142","display_name":null,"funder_award_id":"DE-FG-0208ER25862","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W31735176","https://openalex.org/W1600015713","https://openalex.org/W1970802205","https://openalex.org/W1973449286","https://openalex.org/W1988871168","https://openalex.org/W2001536020","https://openalex.org/W2003815346","https://openalex.org/W2007044713","https://openalex.org/W2011267504","https://openalex.org/W2015049658","https://openalex.org/W2025792501","https://openalex.org/W2047355698","https://openalex.org/W2060096869","https://openalex.org/W2062774474","https://openalex.org/W2069429457","https://openalex.org/W2070744870","https://openalex.org/W2083206954","https://openalex.org/W2092543657","https://openalex.org/W2096440410","https://openalex.org/W2123543343","https://openalex.org/W2168335667","https://openalex.org/W2170482258","https://openalex.org/W2320126040","https://openalex.org/W2613741806","https://openalex.org/W4233083562"],"related_works":["https://openalex.org/W2047443206","https://openalex.org/W2141746660","https://openalex.org/W1997224198","https://openalex.org/W2801372583","https://openalex.org/W2059568816","https://openalex.org/W2007838349","https://openalex.org/W3103060237","https://openalex.org/W1969888421","https://openalex.org/W2091726167","https://openalex.org/W1981143045"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,43,55,76,83,96,99,108,119],"motion":[3],"of":[4,12,32,45,80,98,131],"interacting":[5],"particles":[6,33],"governed":[7],"by":[8],"a":[9,28,69,128],"coupled":[10],"system":[11],"ODEs":[13],"with":[14],"random":[15],"initial":[16],"conditions.":[17],"Direct":[18],"computations":[19],"for":[20],"such":[21,68],"systems":[22],"are":[23,50],"prohibitively":[24],"expensive":[25],"due":[26,87],"to":[27,66,74,88,105],"very":[29],"large":[30],"number":[31],"and":[34,113,134],"randomness":[35],"requiring":[36],"many":[37],"realizations":[38],"in":[39,42,72,82],"their":[40],"locations":[41],"presence":[44],"strong":[46,89],"interactions.":[47],"While":[48],"there":[49],"several":[51],"approaches":[52],"that":[53,102],"address":[54],"above":[56],"difficulties,":[57],"none":[58],"addresses":[59],"all":[60],"three":[61],"simultaneously.":[62],"Our":[63,91],"goal":[64],"is":[65,93],"develop":[67],"computational":[70,120],"approach":[71,92],"order":[73],"capture":[75,114],"experimentally":[77],"observed":[78],"emergence":[79],"correlations":[81,115],"collective":[84],"state":[85],"(patterns":[86],"interactions).":[90],"based":[94],"on":[95],"truncation":[97],"BBGKY":[100],"hierarchy":[101],"allows":[103],"one":[104],"go":[106],"beyond":[107],"classical":[109],"mean":[110],"field":[111],"limit":[112],"while":[116],"drastically":[117],"reducing":[118],"complexity.":[121],"Finally,":[122],"we":[123],"provide":[124],"an":[125],"example":[126],"showing":[127],"numerical":[129],"solution":[130],"this":[132],"nonlinear":[133],"nonlocal":[135],"system.":[136]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
