{"id":"https://openalex.org/W2053354526","doi":"https://doi.org/10.1090/s0025-5718-2014-02806-8","title":"Coarse-graining schemes for stochastic lattice systems with short and long-range interactions","display_name":"Coarse-graining schemes for stochastic lattice systems with short and long-range interactions","publication_year":2014,"publication_date":"2014-03-25","ids":{"openalex":"https://openalex.org/W2053354526","doi":"https://doi.org/10.1090/s0025-5718-2014-02806-8","mag":"2053354526"},"language":"en","primary_location":{"id":"doi:10.1090/s0025-5718-2014-02806-8","is_oa":false,"landing_page_url":"https://doi.org/10.1090/s0025-5718-2014-02806-8","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://figshare.com/articles/journal_contribution/Coarse-graining_schemes_for_stochastic_lattice_systems_with_short_and_long-range_interactions/23403362","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/I142617266","display_name":"University of Crete","ror":"https://ror.org/00dr28g20","country_code":"GR","type":"education","lineage":["https://openalex.org/I142617266"]},{"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"]},{"id":"https://openalex.org/I8901234","display_name":"Foundation for Research and Technology Hellas","ror":"https://ror.org/052rphn09","country_code":"GR","type":"facility","lineage":["https://openalex.org/I8901234"]}],"countries":["GR","US"],"is_corresponding":false,"raw_author_name":"Markos Katsoulakis","raw_affiliation_strings":["Department of Mathematics, University of Massachusetts, Amherst, Massachusetts 01003 and Department of Applied Mathematics, University of Crete and Foundation of Research \u00e2\u0080\u0093 and \u00e2\u0080\u0094 Technology-Hellas, Greece","Department of Mathematics, University of Massachusetts, Amherst, Massachusetts 01003 and Department of Applied Mathematics, University of Crete and Foundation of Research \u2013 and \u2014 Technology-Hellas, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Massachusetts, Amherst, Massachusetts 01003 and Department of Applied Mathematics, University of Crete and Foundation of Research \u00e2\u0080\u0093 and \u00e2\u0080\u0094 Technology-Hellas, Greece","institution_ids":["https://openalex.org/I8901234","https://openalex.org/I142617266","https://openalex.org/I24603500"]},{"raw_affiliation_string":"Department of Mathematics, University of Massachusetts, Amherst, Massachusetts 01003 and Department of Applied Mathematics, University of Crete and Foundation of Research \u2013 and \u2014 Technology-Hellas, Greece","institution_ids":["https://openalex.org/I8901234","https://openalex.org/I142617266","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/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Petr Plech\u00e1\u010d","raw_affiliation_strings":["Department of Mathematical Sciences, University of Delaware Newark, Delaware 19716"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Delaware Newark, Delaware 19716","institution_ids":["https://openalex.org/I86501945"]}]},{"author_position":"middle","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, University of Massachusetts, Amherst, Massachusetts 01003","Department of Mathematics, University of Massachusetts, Amherst, Massachusetts, 01003"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Massachusetts, Amherst, Massachusetts 01003","institution_ids":["https://openalex.org/I24603500"]},{"raw_affiliation_string":"Department of Mathematics, University of Massachusetts, Amherst, Massachusetts, 01003","institution_ids":["https://openalex.org/I24603500"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053506026","display_name":"Dimitrios Tsagkarogiannis","orcid":"https://orcid.org/0000-0001-5780-9095"},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Dimitrios Tsagkarogiannis","raw_affiliation_strings":["Hausdorff Center for Mathematics, University of Bonn, D-53115 Bonn, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hausdorff Center for Mathematics, University of Bonn, D-53115 Bonn, Germany","institution_ids":["https://openalex.org/I135140700"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2859,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.55284387,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"83","issue":"288","first_page":"1757","last_page":"1793"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11471","display_name":"Block Copolymer Self-Assembly","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11471","display_name":"Block Copolymer Self-Assembly","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9994999766349792,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9962999820709229,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/granularity","display_name":"Granularity","score":0.8551363945007324},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5399958491325378},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5191653966903687},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.4781847298145294},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.46258068084716797},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3524414002895355},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32211604714393616},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11412814259529114},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.06795099377632141}],"concepts":[{"id":"https://openalex.org/C177774035","wikidata":"https://www.wikidata.org/wiki/Q1246948","display_name":"Granularity","level":2,"score":0.8551363945007324},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5399958491325378},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5191653966903687},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.4781847298145294},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.46258068084716797},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3524414002895355},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32211604714393616},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11412814259529114},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.06795099377632141},{"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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}],"mesh":[],"locations_count":8,"locations":[{"id":"doi:10.1090/s0025-5718-2014-02806-8","is_oa":false,"landing_page_url":"https://doi.org/10.1090/s0025-5718-2014-02806-8","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:scholarworks.umass.edu:20.500.14394/34237","is_oa":false,"landing_page_url":"https://hdl.handle.net/20.500.14394/34237","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"published","raw_type":"article"},{"id":"pmh:oai:preprints.acmac.uoc.gr:89","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400768","display_name":"ACMAC's PrePrint Repository (Archimedes Center for Modeling, Analysis and Computation)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:scholarworks.umass.edu:math_faculty_pubs-2178","is_oa":false,"landing_page_url":"https://scholarworks.umass.edu/math_faculty_pubs/1184","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":"Mathematics and Statistics Department Faculty Publication Series","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.426.6373","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.426.6373","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://preprints.acmac.uoc.gr/89/1/acmac-0089.pdf","raw_type":"text"},{"id":"pmh:oai:figshare.com:article/23403362","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/Coarse-graining_schemes_for_stochastic_lattice_systems_with_short_and_long-range_interactions/23403362","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:works.bepress.com:luc_rey_bellet-1006","is_oa":false,"landing_page_url":"https://works.bepress.com/luc_rey_bellet/7","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-1012","is_oa":false,"landing_page_url":"https://works.bepress.com/markos_katsoulakis/13","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:figshare.com:article/23403362","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/Coarse-graining_schemes_for_stochastic_lattice_systems_with_short_and_long-range_interactions/23403362","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W379390718","https://openalex.org/W1497785975","https://openalex.org/W1504456893","https://openalex.org/W1504846382","https://openalex.org/W1519068578","https://openalex.org/W1530042113","https://openalex.org/W1556987501","https://openalex.org/W1597994892","https://openalex.org/W1602281059","https://openalex.org/W1964148422","https://openalex.org/W1968306057","https://openalex.org/W1968416246","https://openalex.org/W1969558457","https://openalex.org/W1973641880","https://openalex.org/W1984097061","https://openalex.org/W1993771557","https://openalex.org/W1995817513","https://openalex.org/W1997557828","https://openalex.org/W2010593464","https://openalex.org/W2011106336","https://openalex.org/W2022320562","https://openalex.org/W2030891958","https://openalex.org/W2030962507","https://openalex.org/W2031794121","https://openalex.org/W2034560711","https://openalex.org/W2043737913","https://openalex.org/W2044300169","https://openalex.org/W2047691432","https://openalex.org/W2055367311","https://openalex.org/W2055635401","https://openalex.org/W2061768183","https://openalex.org/W2078761504","https://openalex.org/W2083636453","https://openalex.org/W2090697281","https://openalex.org/W2090913292","https://openalex.org/W2098129741","https://openalex.org/W2101880715","https://openalex.org/W2118818261","https://openalex.org/W2131714146","https://openalex.org/W2160048430","https://openalex.org/W2319680621","https://openalex.org/W2495644283","https://openalex.org/W4241853101","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/W4302576814","https://openalex.org/W1991083800"],"abstract_inverted_index":{"We":[0,31,52,74],"develop":[1],"coarse-graining":[2,35,78],"schemes":[3,79],"for":[4,88],"stochastic":[5],"many-particle":[6],"microscopic":[7],"models":[8],"with":[9,91],"competing":[10],"short-":[11,92],"and":[12,40,67,93],"long-range":[13,94],"interactions":[14,66],"on":[15,33],"a":[16,69,84],"<inline-formula":[17],"content-type=\"math/mathml\">":[18],"<mml:math":[19],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[20],"alttext=\"d\">":[21],"<mml:semantics>":[22],"<mml:mi>d</mml:mi>":[23],"<mml:annotation":[24],"encoding=\"application/x-tex\">d</mml:annotation>":[25],"</mml:semantics>":[26],"</mml:math>":[27],"</inline-formula>":[28],"-dimensional":[29],"lattice.":[30],"focus":[32],"the":[34,47,54,58],"of":[36,57,65,71],"equilibrium":[37],"Gibbs":[38],"states,":[39],"by":[41,83],"using":[42],"cluster":[43],"expansions":[44],"we":[45],"analyze":[46],"corresponding":[48],"renormalization":[49],"group":[50],"map.":[51],"quantify":[53],"approximation":[55],"properties":[56],"coarse-grained":[59],"terms":[60],"arising":[61],"from":[62],"different":[63],"types":[64],"present":[68],"hierarchy":[70],"correction":[72],"terms.":[73],"derive":[75],"semi-analytical":[76],"numerical":[77],"that":[80],"are":[81],"accompanied":[82],"posteriori":[85],"error":[86],"estimates":[87],"lattice":[89],"systems":[90],"interactions.":[95]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
