{"id":"https://openalex.org/W2963842486","doi":"https://doi.org/10.3233/asy-131207","title":"Scaling limits and exit law for multiscale diffusions","display_name":"Scaling limits and exit law for multiscale diffusions","publication_year":2014,"publication_date":"2014-05-01","ids":{"openalex":"https://openalex.org/W2963842486","doi":"https://doi.org/10.3233/asy-131207","mag":"2963842486"},"language":"en","primary_location":{"id":"doi:10.3233/asy-131207","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-131207","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","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/A5037531476","display_name":"Sergio A. Almada Monter","orcid":"https://orcid.org/0000-0003-0858-4656"},"institutions":[{"id":"https://openalex.org/I114027177","display_name":"University of North Carolina at Chapel Hill","ror":"https://ror.org/0130frc33","country_code":"US","type":"education","lineage":["https://openalex.org/I114027177"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Sergio Angel Almada","raw_affiliation_strings":["Department of Statistics and Operations Research, University of North Carolina, 304 Hanes Hall CB #3260, Chapel Hill, NC 27599, USA. E-mail: salmada3@unc.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Statistics and Operations Research, University of North Carolina, 304 Hanes Hall CB #3260, Chapel Hill, NC 27599, USA. E-mail: salmada3@unc.edu","institution_ids":["https://openalex.org/I114027177"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103169334","display_name":"Konstantinos Spiliopoulos","orcid":"https://orcid.org/0000-0003-2021-6426"},"institutions":[{"id":"https://openalex.org/I111088046","display_name":"Boston University","ror":"https://ror.org/05qwgg493","country_code":"US","type":"education","lineage":["https://openalex.org/I111088046"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Konstantinos Spiliopoulos","raw_affiliation_strings":["Department of Mathematics and Statistics, Boston University, 111 Cummington Street, Boston, MA 02215, USA. E-mail: kspiliop@math.bu.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Boston University, 111 Cummington Street, Boston, MA 02215, USA. E-mail: kspiliop@math.bu.edu","institution_ids":["https://openalex.org/I111088046"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5037531476"],"corresponding_institution_ids":["https://openalex.org/I114027177"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.31824653,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"87","issue":"1-2","first_page":"65","last_page":"90"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11087","display_name":"Solidification and crystal growth phenomena","score":0.930899977684021,"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/T12202","display_name":"nanoparticles nucleation surface interactions","score":0.9302999973297119,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/scaling-law","display_name":"Scaling law","score":0.6999370455741882},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.662207305431366},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.6406546831130981},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.49968910217285156},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.38082483410835266},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.3273670971393585},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23927956819534302},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1556079089641571}],"concepts":[{"id":"https://openalex.org/C2988430800","wikidata":"https://www.wikidata.org/wiki/Q428971","display_name":"Scaling law","level":3,"score":0.6999370455741882},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.662207305431366},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6406546831130981},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.49968910217285156},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.38082483410835266},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3273670971393585},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23927956819534302},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1556079089641571}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3233/asy-131207","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-131207","pdf_url":null,"source":{"id":"https://openalex.org/S141283892","display_name":"Asymptotic Analysis","issn_l":"0921-7134","issn":["0921-7134","1875-8576"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Asymptotic Analysis","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.749.7390","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.749.7390","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1207.5482.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.6899999976158142}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3217323610","https://openalex.org/W3102781811","https://openalex.org/W1990001655","https://openalex.org/W1995826969","https://openalex.org/W2023485082","https://openalex.org/W2013329450","https://openalex.org/W2518229301","https://openalex.org/W4298190863","https://openalex.org/W1990306784","https://openalex.org/W2597205018"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3],"study":[4],"the":[5,8,27,34,38,42,53,66,70,77,83],"fluctuations":[6,64],"from":[7],"limiting":[9,35,72],"behavior":[10,68],"of":[11,16,37,41,80],"small":[12],"noise":[13],"random":[14],"perturbations":[15],"diffusions":[17],"with":[18],"multiple":[19],"scales.":[20],"The":[21],"result":[22],"is":[23],"then":[24],"applied":[25],"to":[26,52],"exit":[28,43,46,73],"problem":[29],"for":[30],"multiscale":[31],"diffusions,":[32],"deriving":[33],"law":[36],"joint":[39],"distribution":[40],"time":[44],"and":[45,69],"location.":[47],"We":[48],"apply":[49],"our":[50],"results":[51],"first":[54],"order":[55],"Langevin":[56],"equation":[57],"in":[58],"a":[59],"rough":[60],"potential,":[61],"studying":[62],"both":[63],"around":[65],"typical":[67],"conditional":[71,75],"law,":[74],"on":[76],"rare":[78],"event":[79],"going":[81],"against":[82],"underlying":[84],"deterministic":[85],"flow.":[86]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-30T06:05:26.967640","created_date":"2025-10-10T00:00:00"}
