{"id":"https://openalex.org/W2138884468","doi":"https://doi.org/10.1112/jlms/jdv019","title":"Spectral edge regularity of magnetic Hamiltonians","display_name":"Spectral edge regularity of magnetic Hamiltonians","publication_year":2015,"publication_date":"2015-06-10","ids":{"openalex":"https://openalex.org/W2138884468","doi":"https://doi.org/10.1112/jlms/jdv019","mag":"2138884468"},"language":"en","primary_location":{"id":"doi:10.1112/jlms/jdv019","is_oa":false,"landing_page_url":"https://doi.org/10.1112/jlms/jdv019","pdf_url":null,"source":{"id":"https://openalex.org/S4210207695","display_name":"Journal of the London Mathematical Society","issn_l":"0024-6107","issn":["0024-6107","1469-7750"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the London Mathematical Society","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://vbn.aau.dk/da/publications/744447a5-41c3-4461-932b-6c3e413c248e","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Horia D. Cornean","orcid":null},"institutions":[{"id":"https://openalex.org/I891191580","display_name":"Aalborg University","ror":"https://ror.org/04m5j1k67","country_code":"DK","type":"education","lineage":["https://openalex.org/I891191580"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"Horia D. Cornean","raw_affiliation_strings":["Department of Mathematical Sciences, Aalborg University, Fredrik Bajers Vej 7G, 9220 Aalborg, Denmark"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Aalborg University, Fredrik Bajers Vej 7G, 9220 Aalborg, Denmark","institution_ids":["https://openalex.org/I891191580"]}]},{"author_position":"last","author":{"id":null,"display_name":"Radu Purice","orcid":null},"institutions":[{"id":"https://openalex.org/I58077936","display_name":"Romanian Academy","ror":"https://ror.org/0561n6946","country_code":"RO","type":"archive","lineage":["https://openalex.org/I58077936"]},{"id":"https://openalex.org/I4210122993","display_name":"Applied Radar (United States)","ror":"https://ror.org/02tgjtw54","country_code":"US","type":"company","lineage":["https://openalex.org/I4210122993"]}],"countries":["RO","US"],"is_corresponding":false,"raw_author_name":"Radu Purice","raw_affiliation_strings":["Institute of Mathematics Simion Stoilow of the Romanian Academy, Research unit No. 3, P.O. Box 1-764, Bucharest RO-14700, Romania","Laboratoire Europe\u0301en Associe\u0301 CNRS Franco-Roumain Math-Mode, Bucharest, Romania, Radu.Purice@imar.ro"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics Simion Stoilow of the Romanian Academy, Research unit No. 3, P.O. Box 1-764, Bucharest RO-14700, Romania","institution_ids":["https://openalex.org/I58077936"]},{"raw_affiliation_string":"Laboratoire Europe\u0301en Associe\u0301 CNRS Franco-Roumain Math-Mode, Bucharest, Romania, Radu.Purice@imar.ro","institution_ids":["https://openalex.org/I4210122993"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I891191580"],"apc_list":{"value":3710,"currency":"USD","value_usd":3710},"apc_paid":null,"fwci":1.5837,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.819641,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"92","issue":"1","first_page":"89","last_page":"104"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.2508000135421753,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.2508000135421753,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.20999999344348907,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.19050000607967377,"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/bounded-function","display_name":"Bounded function","score":0.7669000029563904},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.7020000219345093},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.6640999913215637},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.5620999932289124},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.5440000295639038},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.3659000098705292}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7669000029563904},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.7020000219345093},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.6640999913215637},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6003000140190125},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5620999932289124},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.5440000295639038},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4327999949455261},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.42640000581741333},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.3659000098705292},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.328000009059906},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.3246999979019165},{"id":"https://openalex.org/C90377204","wikidata":"https://www.wikidata.org/wiki/Q1052594","display_name":"Uniform boundedness","level":3,"score":0.28200000524520874},{"id":"https://openalex.org/C168110828","wikidata":"https://www.wikidata.org/wiki/Q1331626","display_name":"Spectral density","level":2,"score":0.26820001006126404},{"id":"https://openalex.org/C27851653","wikidata":"https://www.wikidata.org/wiki/Q829653","display_name":"Bounded variation","level":2,"score":0.2639000117778778},{"id":"https://openalex.org/C2983668108","wikidata":"https://www.wikidata.org/wiki/Q280453","display_name":"Spectral analysis","level":3,"score":0.25929999351501465}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1112/jlms/jdv019","is_oa":false,"landing_page_url":"https://doi.org/10.1112/jlms/jdv019","pdf_url":null,"source":{"id":"https://openalex.org/S4210207695","display_name":"Journal of the London Mathematical Society","issn_l":"0024-6107","issn":["0024-6107","1469-7750"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the London Mathematical Society","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:openaire/744447a5-41c3-4461-932b-6c3e413c248e","is_oa":true,"landing_page_url":"https://vbn.aau.dk/da/publications/744447a5-41c3-4461-932b-6c3e413c248e","pdf_url":null,"source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cornean, H & Purice, R 2015, 'Spectral edge regularity of magnetic Hamiltonians', Journal of the London Mathematical Society, vol. 92, no. 1, pp. 89-104. https://doi.org/10.1112/jlms/jdv019","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:arXiv.org:1406.6624","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1406.6624","pdf_url":"https://arxiv.org/pdf/1406.6624","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"pmh:oai:pure.atira.dk:publications/744447a5-41c3-4461-932b-6c3e413c248e","is_oa":true,"landing_page_url":"http://jlms.oxfordjournals.org/content/early/2015/06/10/jlms.jdv019","pdf_url":null,"source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Cornean, H & Purice, R 2015, 'Spectral edge regularity of magnetic Hamiltonians', Journal of the London Mathematical Society, vol. 92, no. 1, pp. 89-104. https://doi.org/10.1112/jlms/jdv019","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:pure.atira.dk:openaire/744447a5-41c3-4461-932b-6c3e413c248e","is_oa":true,"landing_page_url":"https://vbn.aau.dk/da/publications/744447a5-41c3-4461-932b-6c3e413c248e","pdf_url":null,"source":{"id":"https://openalex.org/S4306401731","display_name":"VBN Forskningsportal (Aalborg Universitet)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I891191580","host_organization_name":"Aalborg University","host_organization_lineage":["https://openalex.org/I891191580"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cornean, H & Purice, R 2015, 'Spectral edge regularity of magnetic Hamiltonians', Journal of the London Mathematical Society, vol. 92, no. 1, pp. 89-104. https://doi.org/10.1112/jlms/jdv019","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W132169108","https://openalex.org/W1530056498","https://openalex.org/W1625884881","https://openalex.org/W1968276064","https://openalex.org/W1976663051","https://openalex.org/W1986862316","https://openalex.org/W1996417718","https://openalex.org/W2008229178","https://openalex.org/W2036604225","https://openalex.org/W2056306095","https://openalex.org/W2057393150","https://openalex.org/W2068697588","https://openalex.org/W2069450657","https://openalex.org/W2070658493","https://openalex.org/W2071718710","https://openalex.org/W2074761000","https://openalex.org/W2079514093","https://openalex.org/W2080529992","https://openalex.org/W2088325835","https://openalex.org/W2100157799","https://openalex.org/W2122951146","https://openalex.org/W2136131718","https://openalex.org/W2160782553","https://openalex.org/W2491079642","https://openalex.org/W2963705385","https://openalex.org/W4233786854","https://openalex.org/W4297784055","https://openalex.org/W4392673048","https://openalex.org/W6694571041"],"related_works":[],"abstract_inverted_index":{"We":[0,24,43],"analyse":[1],"the":[2,14,33],"spectral":[3,30],"edge":[4],"regularity":[5,28,55],"of":[6,10,29],"a":[7,19,58],"large":[8],"class":[9],"magnetic":[11,22,34,65],"Hamiltonians":[12],"when":[13],"perturbation":[15,36],"is":[16,37],"generated":[17],"by":[18,49],"globally":[20,63],"bounded":[21,64],"field.":[23],"can":[25],"prove":[26],"Lipschitz":[27,54],"edges":[31],"if":[32],"field":[35,66],"either":[38],"constant":[39],"or":[40],"slowly":[41],"variable.":[42],"also":[44],"recover":[45],"an":[46],"older":[47],"result":[48],"G.":[50],"Nenciu":[51],"who":[52],"proved":[53],"up":[56],"to":[57],"logarithmic":[59],"factor":[60],"for":[61],"general":[62],"perturbations.":[67]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2016-06-24T00:00:00"}
