{"id":"https://openalex.org/W2071322433","doi":"https://doi.org/10.1137/1035112","title":"From Markov Chains to Nonequilibrium Particle Systems (Mu Fa Chen)","display_name":"From Markov Chains to Nonequilibrium Particle Systems (Mu Fa Chen)","publication_year":1993,"publication_date":"1993-09-01","ids":{"openalex":"https://openalex.org/W2071322433","doi":"https://doi.org/10.1137/1035112","mag":"2071322433"},"language":"en","primary_location":{"id":"doi:10.1137/1035112","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1035112","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"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 Review","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/A5015352514","display_name":"Rick Durrett","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Rick Durrett","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5015352514"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.23665745,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"35","issue":"3","first_page":"514","last_page":"514"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9592000246047974,"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":0.9592000246047974,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9574999809265137,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.9491999745368958,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/chen","display_name":"Chen","score":0.765076756477356},{"id":"https://openalex.org/keywords/non-equilibrium-thermodynamics","display_name":"Non-equilibrium thermodynamics","score":0.7309488654136658},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.6816056966781616},{"id":"https://openalex.org/keywords/particle","display_name":"Particle (ecology)","score":0.5264250040054321},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5130192637443542},{"id":"https://openalex.org/keywords/particle-system","display_name":"Particle system","score":0.5000677108764648},{"id":"https://openalex.org/keywords/download","display_name":"Download","score":0.4971762001514435},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.47947701811790466},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3774898052215576},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.313801646232605},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3093482255935669},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.2995392084121704},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.26185113191604614},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16009759902954102},{"id":"https://openalex.org/keywords/world-wide-web","display_name":"World Wide Web","score":0.07629144191741943},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.07159680128097534},{"id":"https://openalex.org/keywords/computer-graphics","display_name":"Computer graphics (images)","score":0.05793598294258118}],"concepts":[{"id":"https://openalex.org/C2776085556","wikidata":"https://www.wikidata.org/wiki/Q183361","display_name":"Chen","level":2,"score":0.765076756477356},{"id":"https://openalex.org/C74859849","wikidata":"https://www.wikidata.org/wiki/Q2466686","display_name":"Non-equilibrium thermodynamics","level":2,"score":0.7309488654136658},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.6816056966781616},{"id":"https://openalex.org/C2778517922","wikidata":"https://www.wikidata.org/wiki/Q7140482","display_name":"Particle (ecology)","level":2,"score":0.5264250040054321},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5130192637443542},{"id":"https://openalex.org/C179003449","wikidata":"https://www.wikidata.org/wiki/Q1757458","display_name":"Particle system","level":2,"score":0.5000677108764648},{"id":"https://openalex.org/C2780154274","wikidata":"https://www.wikidata.org/wiki/Q7126717","display_name":"Download","level":2,"score":0.4971762001514435},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.47947701811790466},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3774898052215576},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.313801646232605},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3093482255935669},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.2995392084121704},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.26185113191604614},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16009759902954102},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.07629144191741943},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.07159680128097534},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.05793598294258118},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/1035112","is_oa":false,"landing_page_url":"https://doi.org/10.1137/1035112","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"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 Review","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2370310922","https://openalex.org/W2386975637","https://openalex.org/W2891436901","https://openalex.org/W2087355708","https://openalex.org/W2388837937","https://openalex.org/W2385339070","https://openalex.org/W2390434941","https://openalex.org/W2385344059","https://openalex.org/W32628869","https://openalex.org/W2312544580"],"abstract_inverted_index":{"Previous":[0,36],"article":[1,3,37,39],"Next":[2,38],"From":[4],"Markov":[5,22],"Chains":[6,23],"to":[7,17,24],"Nonequilibrium":[8,25],"Particle":[9,26],"Systems":[10,27],"(Mu":[11,28],"Fa":[12,29],"Chen)Rick":[13],"DurrettRick":[14],"Durretthttps://doi.org/10.1137/1035112PDFBibTexSections":[15],"ToolsAdd":[16],"favoritesExport":[18],"CitationTrack":[19],"CitationsEmail":[20],"SectionsAbout\"From":[21],"Chen).\"":[30],"SIAM":[31],"Review,":[32],"35(3),":[33],"p.":[34],"514":[35],"FiguresRelatedReferencesCited":[40],"ByDetails":[41],"Volume":[42],"35,":[43],"Issue":[44],"3|":[45],"1993SIAM":[46],"Review359-550":[47],"History":[48],"Published":[49],"online:12":[50],"July":[51],"2006":[52],"InformationCopyright":[53],"\u00a9":[54],"1993":[55],"Society":[56],"for":[57,73],"Industrial":[58,74],"and":[59,75],"Applied":[60,76],"MathematicsPDF":[61],"Download":[62],"Article":[63],"&":[64],"Publication":[65],"DataArticle":[66],"DOI:10.1137/1035112Article":[67],"page":[68],"range:pp.":[69],"514-514ISSN":[70],"(print):0036-1445ISSN":[71],"(online):1095-7200Publisher:Society":[72],"Mathematics":[77]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}