{"id":"https://openalex.org/W2131714146","doi":"https://doi.org/10.1007/s10915-008-9216-6","title":"Numerical and Statistical Methods for\u00a0the\u00a0Coarse-Graining of\u00a0Many-Particle Stochastic Systems","display_name":"Numerical and Statistical Methods for\u00a0the\u00a0Coarse-Graining of\u00a0Many-Particle Stochastic Systems","publication_year":2008,"publication_date":"2008-07-22","ids":{"openalex":"https://openalex.org/W2131714146","doi":"https://doi.org/10.1007/s10915-008-9216-6","mag":"2131714146"},"language":"en","primary_location":{"id":"doi:10.1007/s10915-008-9216-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-008-9216-6","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://scholarworks.umass.edu/math_faculty_pubs/772","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045079747","display_name":"Markos A. Katsoulakis","orcid":"https://orcid.org/0000-0003-4354-1766"},"institutions":[{"id":"https://openalex.org/I24603500","display_name":"University of Massachusetts Amherst","ror":"https://ror.org/0072zz521","country_code":"US","type":"education","lineage":["https://openalex.org/I24603500"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Markos A. Katsoulakis","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA, 01003, USA","Department of Mathematics and Statistics, University of Massachusetts, Amherst, USA 01003#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA, 01003, USA","institution_ids":["https://openalex.org/I24603500"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Massachusetts, Amherst, USA 01003#TAB#","institution_ids":["https://openalex.org/I24603500"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014213782","display_name":"Petr Plech\u00e1\u010d","orcid":"https://orcid.org/0000-0003-2102-4485"},"institutions":[{"id":"https://openalex.org/I1289243028","display_name":"Oak Ridge National Laboratory","ror":"https://ror.org/01qz5mb56","country_code":"US","type":"facility","lineage":["https://openalex.org/I1289243028","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I4210159294"]},{"id":"https://openalex.org/I75027704","display_name":"University of Tennessee at Knoxville","ror":"https://ror.org/020f3ap87","country_code":"US","type":"education","lineage":["https://openalex.org/I75027704"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Petr Plech\u00e1\u010d","raw_affiliation_strings":["Department of Mathematics, University of Tennessee and Oak Ridge National Laboratory, Knoxville, TN, 37996, USA","Department of Mathematics, University of Tennessee and Oak Ridge National Laboratory, Knoxville, USA 37996#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Tennessee and Oak Ridge National Laboratory, Knoxville, TN, 37996, USA","institution_ids":["https://openalex.org/I1289243028","https://openalex.org/I75027704"]},{"raw_affiliation_string":"Department of Mathematics, University of Tennessee and Oak Ridge National Laboratory, Knoxville, USA 37996#TAB#","institution_ids":["https://openalex.org/I75027704","https://openalex.org/I1289243028"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066349615","display_name":"Luc Rey-Bellet","orcid":"https://orcid.org/0000-0003-1166-8957"},"institutions":[{"id":"https://openalex.org/I24603500","display_name":"University of Massachusetts Amherst","ror":"https://ror.org/0072zz521","country_code":"US","type":"education","lineage":["https://openalex.org/I24603500"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Luc Rey-Bellet","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA, 01003, USA","Department of Mathematics and Statistics, University of Massachusetts, Amherst, USA 01003#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA, 01003, USA","institution_ids":["https://openalex.org/I24603500"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Massachusetts, Amherst, USA 01003#TAB#","institution_ids":["https://openalex.org/I24603500"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5045079747"],"corresponding_institution_ids":["https://openalex.org/I24603500"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.2268,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.79666558,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"37","issue":"1","first_page":"43","last_page":"71"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9994000196456909,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.9994000196456909,"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9987999796867371,"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/T11471","display_name":"Block Copolymer Self-Assembly","score":0.9983999729156494,"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/granularity","display_name":"Granularity","score":0.8944221138954163},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.672539472579956},{"id":"https://openalex.org/keywords/statistical-mechanics","display_name":"Statistical mechanics","score":0.589507520198822},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5537718534469604},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5334482789039612},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5313482880592346},{"id":"https://openalex.org/keywords/renormalization","display_name":"Renormalization","score":0.4806438982486725},{"id":"https://openalex.org/keywords/particle-system","display_name":"Particle system","score":0.4392227530479431},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.42730408906936646},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.42446115612983704},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3852825164794922},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36880767345428467},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35916441679000854}],"concepts":[{"id":"https://openalex.org/C177774035","wikidata":"https://www.wikidata.org/wiki/Q1246948","display_name":"Granularity","level":2,"score":0.8944221138954163},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.672539472579956},{"id":"https://openalex.org/C99874945","wikidata":"https://www.wikidata.org/wiki/Q188715","display_name":"Statistical mechanics","level":2,"score":0.589507520198822},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5537718534469604},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5334482789039612},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5313482880592346},{"id":"https://openalex.org/C166124518","wikidata":"https://www.wikidata.org/wiki/Q1047702","display_name":"Renormalization","level":2,"score":0.4806438982486725},{"id":"https://openalex.org/C179003449","wikidata":"https://www.wikidata.org/wiki/Q1757458","display_name":"Particle system","level":2,"score":0.4392227530479431},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42730408906936646},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.42446115612983704},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3852825164794922},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36880767345428467},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35916441679000854},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1007/s10915-008-9216-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10915-008-9216-6","pdf_url":null,"source":{"id":"https://openalex.org/S151550017","display_name":"Journal of Scientific Computing","issn_l":"0885-7474","issn":["0885-7474","1573-7691"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:scholarworks.umass.edu:20.500.14394/34686","is_oa":false,"landing_page_url":"https://hdl.handle.net/20.500.14394/34686","pdf_url":null,"source":{"id":"https://openalex.org/S4306402240","display_name":"ScholarWorks@UMassAmherst (University of Massachusetts Amherst)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I24603500","host_organization_name":"University of Massachusetts Amherst","host_organization_lineage":["https://openalex.org/I24603500"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"published","raw_type":"article"},{"id":"pmh:oai:scholarworks.umass.edu:math_faculty_pubs-1438","is_oa":false,"landing_page_url":"https://scholarworks.umass.edu/math_faculty_pubs/439","pdf_url":null,"source":{"id":"https://openalex.org/S4306402057","display_name":"Scholarworks (University of Massachusetts Amherst)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I24603500","host_organization_name":"University of Massachusetts Amherst","host_organization_lineage":["https://openalex.org/I24603500"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematics and Statistics Department Faculty Publication Series","raw_type":"text"},{"id":"pmh:oai:scholarworks.umass.edu:math_faculty_pubs-1771","is_oa":true,"landing_page_url":"https://scholarworks.umass.edu/math_faculty_pubs/772","pdf_url":null,"source":{"id":"https://openalex.org/S4306402240","display_name":"ScholarWorks@UMassAmherst (University of Massachusetts Amherst)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I24603500","host_organization_name":"University of Massachusetts Amherst","host_organization_lineage":["https://openalex.org/I24603500"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematics and Statistics Department Faculty Publication Series","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.332.5287","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.332.5287","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.math.umass.edu/~lr7q/ps_files/kpr1.pdf","raw_type":"text"},{"id":"pmh:oai:works.bepress.com:luc_rey_bellet-1010","is_oa":false,"landing_page_url":"https://works.bepress.com/luc_rey_bellet/11","pdf_url":null,"source":{"id":"https://openalex.org/S4306402240","display_name":"ScholarWorks@UMassAmherst (University of Massachusetts Amherst)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I24603500","host_organization_name":"University of Massachusetts Amherst","host_organization_lineage":["https://openalex.org/I24603500"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Luc Rey-Bellet","raw_type":"text"},{"id":"pmh:oai:works.bepress.com:markos_katsoulakis-1021","is_oa":false,"landing_page_url":"https://works.bepress.com/markos_katsoulakis/22","pdf_url":null,"source":{"id":"https://openalex.org/S4306402240","display_name":"ScholarWorks@UMassAmherst (University of Massachusetts Amherst)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I24603500","host_organization_name":"University of Massachusetts Amherst","host_organization_lineage":["https://openalex.org/I24603500"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Markos Katsoulakis","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:scholarworks.umass.edu:math_faculty_pubs-1771","is_oa":true,"landing_page_url":"https://scholarworks.umass.edu/math_faculty_pubs/772","pdf_url":null,"source":{"id":"https://openalex.org/S4306402240","display_name":"ScholarWorks@UMassAmherst (University of Massachusetts Amherst)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I24603500","host_organization_name":"University of Massachusetts Amherst","host_organization_lineage":["https://openalex.org/I24603500"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematics and Statistics Department Faculty Publication Series","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":60,"referenced_works":["https://openalex.org/W130710483","https://openalex.org/W579526650","https://openalex.org/W1442103092","https://openalex.org/W1519068578","https://openalex.org/W1531264907","https://openalex.org/W1556987501","https://openalex.org/W1580562032","https://openalex.org/W1597994892","https://openalex.org/W1602773783","https://openalex.org/W1615331388","https://openalex.org/W1963731008","https://openalex.org/W1964148422","https://openalex.org/W1973641880","https://openalex.org/W1985093013","https://openalex.org/W1995817513","https://openalex.org/W1997557828","https://openalex.org/W2005638198","https://openalex.org/W2010593464","https://openalex.org/W2013239615","https://openalex.org/W2016267520","https://openalex.org/W2022320562","https://openalex.org/W2024521556","https://openalex.org/W2028510029","https://openalex.org/W2030962507","https://openalex.org/W2031669371","https://openalex.org/W2031794121","https://openalex.org/W2043737913","https://openalex.org/W2048376522","https://openalex.org/W2051116866","https://openalex.org/W2051461915","https://openalex.org/W2053441594","https://openalex.org/W2055367311","https://openalex.org/W2055635401","https://openalex.org/W2058063722","https://openalex.org/W2061768183","https://openalex.org/W2068655313","https://openalex.org/W2069739265","https://openalex.org/W2070460788","https://openalex.org/W2078761504","https://openalex.org/W2083636453","https://openalex.org/W2090697281","https://openalex.org/W2090913292","https://openalex.org/W2091461262","https://openalex.org/W2094883679","https://openalex.org/W2098129741","https://openalex.org/W2101880715","https://openalex.org/W2160048430","https://openalex.org/W2168100167","https://openalex.org/W2319680621","https://openalex.org/W2493146698","https://openalex.org/W2495644283","https://openalex.org/W3098913376","https://openalex.org/W3103016973","https://openalex.org/W3103468122","https://openalex.org/W3105915172","https://openalex.org/W3142518451","https://openalex.org/W4241853101","https://openalex.org/W4255543040","https://openalex.org/W4292691288","https://openalex.org/W4297927382"],"related_works":["https://openalex.org/W2931688134","https://openalex.org/W2377919138","https://openalex.org/W2378857091","https://openalex.org/W4256502920","https://openalex.org/W103652678","https://openalex.org/W2999756192","https://openalex.org/W4226090359","https://openalex.org/W4382701072","https://openalex.org/W2011624601","https://openalex.org/W2975817033"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}
