{"id":"https://openalex.org/W2972394447","doi":"https://doi.org/10.48550/arxiv.1909.07300","title":"On jumps stochastic slowly diffusion equations with fast oscillation coefficients","display_name":"On jumps stochastic slowly diffusion equations with fast oscillation coefficients","publication_year":2019,"publication_date":"2019-09-16","ids":{"openalex":"https://openalex.org/W2972394447","doi":"https://doi.org/10.48550/arxiv.1909.07300","mag":"2972394447"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:1909.07300","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1909.07300","pdf_url":"https://arxiv.org/pdf/1909.07300","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1909.07300","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026003552","display_name":"Cl\u00e9ment Manga","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Manga, C.","raw_affiliation_strings":["Laboratory of Mathematics and Applications , UFR Sciences & Technologies , University of Assane SecK , UASZ , BP 523 , Ziguinchor , Senegal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Mathematics and Applications , UFR Sciences & Technologies , University of Assane SecK , UASZ , BP 523 , Ziguinchor , Senegal","institution_ids":[]}]},{"author_position":"middle","author":{"id":null,"display_name":"Aman, A.","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I48615539","display_name":"Universit\u00e9 F\u00e9lix Houphou\u00ebt-Boigny","ror":"https://ror.org/03haqmz43","country_code":"CI","type":"education","lineage":["https://openalex.org/I48615539"]}],"countries":["CI"],"is_corresponding":false,"raw_author_name":"Aman, A.","raw_affiliation_strings":["Department of Mathematics , UFR de Math\u00e9matiques et Informatique , F\u00e9lix H. Boigny University of Cocody , 22 BP 582 Abidjan 22 , Ivory Coast"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , UFR de Math\u00e9matiques et Informatique , F\u00e9lix H. Boigny University of Cocody , 22 BP 582 Abidjan 22 , Ivory Coast","institution_ids":["https://openalex.org/I48615539"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038826004","display_name":"Alioune Coulibaly","orcid":"https://orcid.org/0000-0002-9405-8849","observed_orcids":["https://orcid.org/0000-0002-9405-8849"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Coulibaly, A.","raw_affiliation_strings":["Laboratory of Mathematics and Applications , UFR Sciences & Technologies , University of Assane SecK , UASZ , BP 523 , Ziguinchor , Senegal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Mathematics and Applications , UFR Sciences & Technologies , University of Assane SecK , UASZ , BP 523 , Ziguinchor , Senegal","institution_ids":[]}]},{"author_position":"last","author":{"id":null,"display_name":"Di\u00e9dhiou, A.","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Di\u00e9dhiou, A.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.798799991607666,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.798799991607666,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.13330000638961792,"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/T10067","display_name":"Stochastic processes and financial applications","score":0.012500000186264515,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/large-deviations","display_name":"large deviations","score":0.9919999837875366},{"id":"https://openalex.org/keywords/slowly-varying-coefficients","display_name":"slowly varying coefficients","score":0.5230000019073486},{"id":"https://openalex.org/keywords/two-scale-homogenization","display_name":"two-scale homogenization","score":0.6449999809265137},{"id":"https://openalex.org/keywords/path-space","display_name":"path space","score":0.44699999690055847},{"id":"https://openalex.org/keywords/feller-processes","display_name":"Feller processes","score":0.8209999799728394},{"id":"https://openalex.org/keywords/stochastic-partial-differential-equations","display_name":"stochastic partial differential equations","score":0.5040000081062317}],"concepts":[{"id":"https://openalex.org/C15964574","wikidata":"https://www.wikidata.org/wiki/Q7295534","display_name":"Rate function","level":3,"score":0.7532011866569519},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6802263259887695},{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.602333664894104},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5259554386138916},{"id":"https://openalex.org/C2778439541","wikidata":"https://www.wikidata.org/wiki/Q7106412","display_name":"Oscillation (cell signaling)","level":2,"score":0.5126990079879761},{"id":"https://openalex.org/C75438885","wikidata":"https://www.wikidata.org/wiki/Q3403615","display_name":"Large deviations theory","level":2,"score":0.4854153096675873},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.45849525928497314},{"id":"https://openalex.org/C68710425","wikidata":"https://www.wikidata.org/wiki/Q5275442","display_name":"Diffusion process","level":3,"score":0.44058772921562195},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4352349638938904},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.42326292395591736},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.41616740822792053},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4052807092666626},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3008936047554016},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09296917915344238},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.09233880043029785},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C130217890","wikidata":"https://www.wikidata.org/wiki/Q47041","display_name":"Biodiversity","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C56739046","wikidata":"https://www.wikidata.org/wiki/Q192060","display_name":"Knowledge management","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C3017618536","wikidata":"https://www.wikidata.org/wiki/Q304994","display_name":"Innovation diffusion","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:1909.07300","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1909.07300","pdf_url":"https://arxiv.org/pdf/1909.07300","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.1909.07300","doi":"https://doi.org/10.48550/arxiv.1909.07300","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1909.07300","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1909.07300","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1909.07300","pdf_url":"https://arxiv.org/pdf/1909.07300","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2972394447.pdf","grobid_xml":"https://content.openalex.org/works/W2972394447.grobid-xml"},"referenced_works_count":11,"referenced_works":["https://openalex.org/W1985149556","https://openalex.org/W2017032949","https://openalex.org/W2059120410","https://openalex.org/W2064282653","https://openalex.org/W2067181869","https://openalex.org/W2067297950","https://openalex.org/W2077100773","https://openalex.org/W2126794261","https://openalex.org/W2522906619","https://openalex.org/W2922741906","https://openalex.org/W2972770033"],"related_works":["https://openalex.org/W2922741906","https://openalex.org/W2972770033","https://openalex.org/W2149109819","https://openalex.org/W2141211916","https://openalex.org/W3164122711","https://openalex.org/W2164872338","https://openalex.org/W1634373360","https://openalex.org/W2017282669","https://openalex.org/W1993660780","https://openalex.org/W2522906619"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,36,44,55,64],"large":[3,45],"deviation":[4,46],"principle":[5,47],"for":[6,59],"some":[7,51],"stochastic":[8],"evolution":[9],"equations":[10],"with":[11],"jumps":[12],"which":[13],"depend":[14],"on":[15],"two":[16],"small":[17],"parameters,":[18],"when":[19],"the":[20,30,60],"viscosity":[21],"parameter":[22],"\u03b5":[23],"tends":[24],"to":[25],"zero":[26],"more":[27],"quickly":[28],"than":[29],"homogenization's":[31],"one":[32],"\u03b4\u03b5":[33],"(written":[34],"as":[35],"function":[37,62],"of":[38,63],"\u03b5).":[39],"In":[40],"particular,":[41],"we":[42],"highlighted":[43],"in":[48],"path-space":[49],"using":[50],"classical":[52],"techniques":[53],"and":[54],"uniform":[56],"upper":[57],"bound":[58],"characteristic":[61],"Feller":[65],"process.":[66]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2019-09-19T00:00:00"}