{"id":"https://openalex.org/W7220863292","doi":"https://doi.org/10.21136/am.2026.0121-26","title":"A note on connections between some concepts of convergence in homogenization theory","display_name":"A note on connections between some concepts of convergence in homogenization theory","publication_year":2026,"publication_date":"2026-10-01","ids":{"openalex":"https://openalex.org/W7220863292","doi":"https://doi.org/10.21136/am.2026.0121-26","mag":"3039077355"},"language":"en","primary_location":{"id":"doi:10.21136/am.2026.0121-26","doi":"https://doi.org/10.21136/am.2026.0121-26","is_oa":false,"landing_page_url":"https://doi.org/10.21136/am.2026.0121-26","pdf_url":null,"source":{"id":"https://openalex.org/S110796159","display_name":"Applications of Mathematics","issn_l":"0862-7940","issn":["0862-7940","1572-9109"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-40","russia-white-list-3"],"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":"Applications of Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.04478","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080658780","display_name":"Tatiana Danielsson","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tatiana Danielsson","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063983336","display_name":"Liselott\u200e Flod\u00e9n","orcid":"https://orcid.org/0000-0001-5702-7552","observed_orcids":["https://orcid.org/0000-0001-5702-7552"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Liselott Flod\u00e9n","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010369944","display_name":"Anders Holmbom","orcid":"https://orcid.org/0000-0001-6742-5781","observed_orcids":["https://orcid.org/0000-0001-6742-5781"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Anders Holmbom","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019491842","display_name":"Pernilla Johnsen","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pernilla Johnsen","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018661601","display_name":"\u200eMarianne Olsson Lindberg","orcid":"https://orcid.org/0000-0003-2942-6841","observed_orcids":["https://orcid.org/0000-0003-2942-6841"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Marianne Olsson Lindberg","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5046413297","display_name":"Jens Persson","orcid":"https://orcid.org/0000-0001-9984-2424","observed_orcids":["https://orcid.org/0000-0001-9984-2424"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jens Persson","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.76204485,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"71","issue":"5","first_page":"601","last_page":"622"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.989300012588501,"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":0.989300012588501,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.0015999999595806003,"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/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.0006000000284984708,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/homogenization-theory","display_name":"homogenization theory","score":0.8140000104904175},{"id":"https://openalex.org/keywords/convergence","display_name":"convergence","score":0.7110000252723694},{"id":"https://openalex.org/keywords/convergence-concepts","display_name":"convergence concepts","score":0.367000013589859},{"id":"https://openalex.org/keywords/multiscale-analysis","display_name":"multiscale analysis","score":0.4779999852180481}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9334999918937683},{"id":"https://openalex.org/C2778722038","wikidata":"https://www.wikidata.org/wiki/Q17030643","display_name":"Homogenization (climate)","level":3,"score":0.854200005531311},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5443000197410583},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5372999906539917},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.38190001249313354},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.37040001153945923},{"id":"https://openalex.org/C14928880","wikidata":"https://www.wikidata.org/wiki/Q1512559","display_name":"Normal convergence","level":4,"score":0.36090001463890076},{"id":"https://openalex.org/C64980692","wikidata":"https://www.wikidata.org/wiki/Q16191959","display_name":"Symbolic convergence theory","level":3,"score":0.3377000093460083},{"id":"https://openalex.org/C5871375","wikidata":"https://www.wikidata.org/wiki/Q1780715","display_name":"Compact convergence","level":4,"score":0.31619998812675476},{"id":"https://openalex.org/C38487692","wikidata":"https://www.wikidata.org/wiki/Q1067156","display_name":"Dominated convergence theorem","level":5,"score":0.31450000405311584},{"id":"https://openalex.org/C57945734","wikidata":"https://www.wikidata.org/wiki/Q7977941","display_name":"Weak convergence","level":3,"score":0.29319998621940613}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.21136/am.2026.0121-26","doi":"https://doi.org/10.21136/am.2026.0121-26","is_oa":false,"landing_page_url":"https://doi.org/10.21136/am.2026.0121-26","pdf_url":null,"source":{"id":"https://openalex.org/S110796159","display_name":"Applications of Mathematics","issn_l":"0862-7940","issn":["0862-7940","1572-9109"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-40","russia-white-list-3"],"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":"Applications of Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2610.04478","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.04478","pdf_url":"https://arxiv.org/pdf/2610.04478","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.2610.04478","doi":"https://doi.org/10.48550/arxiv.2610.04478","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.04478","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"mag:3039077355","doi":null,"is_oa":false,"landing_page_url":"http://www.diva-portal.org/smash/record.jsf?pid=diva2:1393503","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.04478","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.04478","pdf_url":"https://arxiv.org/pdf/2610.04478","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":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7220863292.pdf","grobid_xml":"https://content.openalex.org/works/W7220863292.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2402636214","https://openalex.org/W1877071783","https://openalex.org/W2801785166","https://openalex.org/W3015375168","https://openalex.org/W1982054543","https://openalex.org/W4388323388","https://openalex.org/W2060581458","https://openalex.org/W3030157314","https://openalex.org/W4409769467","https://openalex.org/W6980712243"],"abstract_inverted_index":{"The":[0,82],"notions":[1],"of":[2,21,34,63,94,97],"classical":[3],"two-scale":[4,36,46],"convergence":[5,47],"and":[6,48,92,99],"the":[7,19,31,61,64,95],"periodic":[8,22,49],"unfolding":[9,50],"method,":[10],"which":[11],"both":[12,84],"rely":[13],"on":[14],"an":[15,79],"additional":[16],"scale":[17,62],"for":[18,70],"representation":[20],"micro-oscillations,":[23],"are":[24,75],"in":[25,56,78],"this":[26],"paper":[27,83],"traced":[28],"back":[29],"to":[30,53],"wider":[32],"concept":[33],"general":[35],"convergence.":[37],"Moreover,":[38],"a":[39,87],"comparison":[40],"is":[41],"made":[42],"between":[43],"very":[44],"weak":[45],"with":[51,90],"respect":[52],"sequences":[54],"bounded":[55],"Sobolev":[57],"spaces,":[58],"amplified":[59,71],"by":[60],"micro-oscillations.":[65],"It":[66],"turns":[67],"out":[68],"that,":[69],"sequences,":[72],"these":[73],"approaches":[74],"not":[76],"equivalent":[77],"immediate":[80],"sense.":[81],"serves":[85],"as":[86],"literature":[88],"overview,":[89],"examples":[91],"illustrations":[93],"concepts":[96],"convergence,":[98],"contains":[100],"new":[101],"results.":[102]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2026-10-08T00:00:00"}
