{"id":"https://openalex.org/W1973816063","doi":"https://doi.org/10.1515/mcma-2012-0003","title":"A mathematical formalization of the parallel replica dynamics","display_name":"A mathematical formalization of the parallel replica dynamics","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W1973816063","doi":"https://doi.org/10.1515/mcma-2012-0003","mag":"1973816063"},"language":"en","primary_location":{"id":"doi:10.1515/mcma-2012-0003","is_oa":false,"landing_page_url":"https://doi.org/10.1515/mcma-2012-0003","pdf_url":null,"source":{"id":"https://openalex.org/S142132501","display_name":"Monte Carlo Methods and Applications","issn_l":"0929-9629","issn":["0929-9629","1569-3961"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Monte Carlo Methods and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1105.4636","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5107391482","display_name":"Claude Le Bris","orcid":null},"institutions":[{"id":"https://openalex.org/I4210128309","display_name":"CERMICS","ror":"https://ror.org/03wct8w46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I142631665","https://openalex.org/I4210128309","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I142631665","display_name":"\u00c9cole nationale des ponts et chauss\u00e9es","ror":"https://ror.org/02nwvxz07","country_code":"FR","type":"education","lineage":["https://openalex.org/I142631665","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Claude Le Bris","raw_affiliation_strings":["INRIA Rocquencourt, MICMAC Project Team, Domaine de Voluceau, B.P. 105, 78153 Le Chesnay Cedex, France","CERMICS, \u00c9cole des Ponts ParisTech, 6 & 8, avenue Blaise Pascal, 77455 Marne-La-Vall\u00e9e"],"affiliations":[{"raw_affiliation_string":"INRIA Rocquencourt, MICMAC Project Team, Domaine de Voluceau, B.P. 105, 78153 Le Chesnay Cedex, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"CERMICS, \u00c9cole des Ponts ParisTech, 6 & 8, avenue Blaise Pascal, 77455 Marne-La-Vall\u00e9e","institution_ids":["https://openalex.org/I142631665","https://openalex.org/I4210128309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048560398","display_name":"Tony Leli\u00e8vre","orcid":"https://orcid.org/0000-0002-3412-113X"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I142631665","display_name":"\u00c9cole nationale des ponts et chauss\u00e9es","ror":"https://ror.org/02nwvxz07","country_code":"FR","type":"education","lineage":["https://openalex.org/I142631665","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210128309","display_name":"CERMICS","ror":"https://ror.org/03wct8w46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I142631665","https://openalex.org/I4210128309","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Tony Leli\u00e8vre","raw_affiliation_strings":["CERMICS, \u00c9cole des Ponts ParisTech, 6 & 8, avenue Blaise Pascal, 77455 Marne-La-Vall\u00e9e","INRIA Rocquencourt, MICMAC Project Team, Domaine de Voluceau, B.P. 105, 78153 Le Chesnay, France"],"affiliations":[{"raw_affiliation_string":"CERMICS, \u00c9cole des Ponts ParisTech, 6 & 8, avenue Blaise Pascal, 77455 Marne-La-Vall\u00e9e","institution_ids":["https://openalex.org/I142631665","https://openalex.org/I4210128309"]},{"raw_affiliation_string":"INRIA Rocquencourt, MICMAC Project Team, Domaine de Voluceau, B.P. 105, 78153 Le Chesnay, France","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036018970","display_name":"Mitchell Luskin","orcid":"https://orcid.org/0000-0003-1981-199X"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mitchell Luskin","raw_affiliation_strings":["School of Mathematics, University of Minnesota, 206 Church St.\u00a0SE, Minneapolis, MN 55455, USA"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Minnesota, 206 Church St.\u00a0SE, Minneapolis, MN 55455, USA","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064658078","display_name":"Danny P\u00e9rez","orcid":"https://orcid.org/0000-0003-3028-5249"},"institutions":[{"id":"https://openalex.org/I1343871089","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1343871089","https://openalex.org/I198811213","https://openalex.org/I4210120050"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Danny Perez","raw_affiliation_strings":["Theoretical Division T-1, Los Alamos National Laboratory, Los Alamos, NM, 87545, USA"],"affiliations":[{"raw_affiliation_string":"Theoretical Division T-1, Los Alamos National Laboratory, Los Alamos, NM, 87545, USA","institution_ids":["https://openalex.org/I1343871089"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5107391482"],"corresponding_institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I142631665","https://openalex.org/I4210128309"],"apc_list":null,"apc_paid":null,"fwci":7.9615,"has_fulltext":true,"cited_by_count":106,"citation_normalized_percentile":{"value":0.98389874,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"18","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9972000122070312,"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"}},"topics":[{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9972000122070312,"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9819999933242798,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9427000284194946,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/replica","display_name":"Replica","score":0.9119079113006592},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7118070125579834},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.6076256632804871},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.5317075848579407},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5266088247299194},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.5057408809661865},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.5046020746231079},{"id":"https://openalex.org/keywords/sample","display_name":"Sample (material)","score":0.4686989486217499},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.45545855164527893},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.42012184858322144},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3468204140663147},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3281559348106384},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25865066051483154},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07943809032440186},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.07264134287834167},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06772014498710632}],"concepts":[{"id":"https://openalex.org/C2775937380","wikidata":"https://www.wikidata.org/wiki/Q1232589","display_name":"Replica","level":2,"score":0.9119079113006592},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7118070125579834},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.6076256632804871},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.5317075848579407},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5266088247299194},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5057408809661865},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.5046020746231079},{"id":"https://openalex.org/C198531522","wikidata":"https://www.wikidata.org/wiki/Q485146","display_name":"Sample (material)","level":2,"score":0.4686989486217499},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.45545855164527893},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.42012184858322144},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3468204140663147},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3281559348106384},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25865066051483154},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07943809032440186},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.07264134287834167},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06772014498710632},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"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/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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":3,"locations":[{"id":"doi:10.1515/mcma-2012-0003","is_oa":false,"landing_page_url":"https://doi.org/10.1515/mcma-2012-0003","pdf_url":null,"source":{"id":"https://openalex.org/S142132501","display_name":"Monte Carlo Methods and Applications","issn_l":"0929-9629","issn":["0929-9629","1569-3961"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Monte Carlo Methods and Applications","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1105.4636","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1105.4636","pdf_url":"https://arxiv.org/pdf/1105.4636","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00596161v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00596161","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2011","raw_type":"Preprints, Working Papers, ..."}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1105.4636","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1105.4636","pdf_url":"https://arxiv.org/pdf/1105.4636","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.47999998927116394}],"awards":[{"id":"https://openalex.org/G1872210597","display_name":null,"funder_award_id":"DE-AC52-06NA2539","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G2031045238","display_name":null,"funder_award_id":"DE-AC52-06NA253","funder_id":"https://openalex.org/F4320338304","funder_display_name":"Los Alamos National Laboratory"},{"id":"https://openalex.org/G2284811891","display_name":null,"funder_award_id":"DE-AC52-06NA25396","funder_id":"https://openalex.org/F4320337506","funder_display_name":"Advanced Scientific Computing Research"},{"id":"https://openalex.org/G2613504715","display_name":null,"funder_award_id":"DE-AC52-06NA25396","funder_id":"https://openalex.org/F4320332369","funder_display_name":"National Nuclear Security Administration"},{"id":"https://openalex.org/G359075050","display_name":null,"funder_award_id":"DE-AC52-06NA25396","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G3700687868","display_name":null,"funder_award_id":"AC52-06NA25396","funder_id":"https://openalex.org/F4320338304","funder_display_name":"Los Alamos National Laboratory"},{"id":"https://openalex.org/G5219260752","display_name":null,"funder_award_id":"DE-FG","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G553579311","display_name":"MEthodes G\u00e9om\u00e9triques et \u00e9chantillonnage: Application \u00e0 la Simulation mol\u00e9culaire","funder_award_id":"ANR-09-BLAN-0216","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G5600677258","display_name":null,"funder_award_id":"U.S. DOE","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G5657628048","display_name":null,"funder_award_id":"AC52-06NA25396","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G6891026096","display_name":null,"funder_award_id":"DE-SC0002085","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G69704028","display_name":null,"funder_award_id":"DE-AC52-06NA25396","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G7186324567","display_name":null,"funder_award_id":"DE-FG02-","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G75892134","display_name":null,"funder_award_id":"DE-AC52-06NA25396","funder_id":"https://openalex.org/F4320338304","funder_display_name":"Los Alamos National Laboratory"},{"id":"https://openalex.org/G8527529014","display_name":null,"funder_award_id":"DE-AC52-06NA2539","funder_id":"https://openalex.org/F4320338304","funder_display_name":"Los Alamos National Laboratory"},{"id":"https://openalex.org/G8620456835","display_name":null,"funder_award_id":"ANR-09-BLAN-0216-01","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G8684078510","display_name":null,"funder_award_id":"DE-FG02","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G8925050130","display_name":null,"funder_award_id":"SC0002085","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"}],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320332359","display_name":"Office of Science","ror":"https://ror.org/00mmn6b08"},{"id":"https://openalex.org/F4320332369","display_name":"National Nuclear Security Administration","ror":"https://ror.org/03sk1we31"},{"id":"https://openalex.org/F4320337506","display_name":"Advanced Scientific Computing Research","ror":"https://ror.org/0012c7r22"},{"id":"https://openalex.org/F4320338304","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1973816063.pdf","grobid_xml":"https://content.openalex.org/works/W1973816063.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3013979739","https://openalex.org/W2655578171","https://openalex.org/W2577913821","https://openalex.org/W4296976839","https://openalex.org/W2460131733","https://openalex.org/W2379651310","https://openalex.org/W2113019827","https://openalex.org/W1541249122","https://openalex.org/W2413828414","https://openalex.org/W2367222340"],"abstract_inverted_index":{"The":[0,51],"purpose":[1],"of":[2,11,32,43,46,59,77,93,101,109,122],"this":[3],"article":[4],"is":[5,35,83],"to":[6,36],"lay":[7],"the":[8,23,33,65,86,91,99,120,123],"mathematical":[9,115],"foundations":[10],"a":[12,39,47,80,114],"well\\nknown":[13],"numerical":[14],"approach":[15,34],"in":[16,54,105],"computational":[17,81],"statistical":[18],"physics":[19],"and":[20,62],"molecular\\ndynamics,":[21],"namely":[22],"parallel":[24],"replica":[25],"dynamics":[26],"introduced":[27],"by":[28],"A.F.":[29],"Voter.":[30],"The\\naim":[31],"efficiently":[37],"generate":[38],"coarse-grained":[40],"evolution":[41],"(in\\nterms":[42],"state-to-state":[44],"dynamics)":[45],"given":[48],"stochastic":[49],"process.":[50],"approach\\nformally":[52],"consists":[53],"concurrently":[55],"considering":[56],"several":[57],"realizations":[58,66,94],"the\\nstochastic":[60],"process,":[61],"tracking":[63],"among":[64],"that":[67],"which,":[68],"the\\nsoonest,":[69],"undergoes":[70],"an":[71],"important":[72],"transition.":[73],"Using":[74],"specific":[75],"properties":[76],"the\\ndynamics":[78],"generated,":[79],"speed-up":[82,89],"obtained.":[84],"In":[85],"best":[87],"cases,\\nthis":[88],"approaches":[90],"number":[92],"considered.":[95],"By":[96],"drawing\\nconnections":[97],"with":[98],"theory":[100],"Markov":[102],"processes":[103],"and,":[104],"particular,":[106],"exploiting\\nthe":[107],"notion":[108],"quasi-stationary":[110],"distribution,":[111],"we":[112],"provide":[113],"setting\\nappropriate":[116],"for":[117],"assessing":[118],"theoretically":[119],"performance":[121],"approach,":[124],"and\\npossibly":[125],"improving":[126],"it.\\n":[127]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":10},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":13},{"year":2019,"cited_by_count":12},{"year":2018,"cited_by_count":13},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2016-06-24T00:00:00"}