{"id":"https://openalex.org/W1776708633","doi":"https://doi.org/10.3233/asy-2011-1073","title":"Eigenvalue asymptotics for second-order elliptic operators on networks","display_name":"Eigenvalue asymptotics for second-order elliptic operators on networks","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W1776708633","doi":"https://doi.org/10.3233/asy-2011-1073","mag":"1776708633"},"language":"en","primary_location":{"id":"doi:10.3233/asy-2011-1073","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-2011-1073","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/A5020746265","display_name":"Joachim von Below","orcid":null},"institutions":[{"id":"https://openalex.org/I59807433","display_name":"Universit\u00e9 Lille Nord de France","ror":"https://ror.org/03btvgn05","country_code":"FR","type":"education","lineage":["https://openalex.org/I59807433"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Joachim von Below","raw_affiliation_strings":["LMPA Joseph Liouville ULCO, Universit\u00e9 Lille Nord de France, Calais, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LMPA Joseph Liouville ULCO, Universit\u00e9 Lille Nord de France, Calais, France","institution_ids":["https://openalex.org/I59807433"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069881713","display_name":"Jos\u00e9 A. Lubary","orcid":null},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jos\u00e9 A. Lubary","raw_affiliation_strings":["Departament de Matem\u00e0tica Aplicada II, Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain","[Departament de Matematica Aplicada II, Universitat Politecnica de Catalunya, Barcelona, Spain]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departament de Matem\u00e0tica Aplicada II, Universitat Polit\u00e8cnica de Catalunya, Barcelona, Spain","institution_ids":["https://openalex.org/I9617848"]},{"raw_affiliation_string":"[Departament de Matematica Aplicada II, Universitat Politecnica de Catalunya, Barcelona, Spain]","institution_ids":["https://openalex.org/I9617848"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5020746265"],"corresponding_institution_ids":["https://openalex.org/I59807433"],"apc_list":null,"apc_paid":null,"fwci":0.6942,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.69362847,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"77","issue":"3-4","first_page":"147","last_page":"167"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9980999827384949,"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":0.9980999827384949,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9923999905586243,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9846000075340271,"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/order","display_name":"Order (exchange)","score":0.7023470401763916},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6199297904968262},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5777100920677185},{"id":"https://openalex.org/keywords/elliptic-operator","display_name":"Elliptic operator","score":0.5599173307418823},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44534650444984436},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.344402551651001},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3322765827178955},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20907089114189148},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.09028911590576172},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.04968532919883728}],"concepts":[{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.7023470401763916},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6199297904968262},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5777100920677185},{"id":"https://openalex.org/C70610323","wikidata":"https://www.wikidata.org/wiki/Q427625","display_name":"Elliptic operator","level":2,"score":0.5599173307418823},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44534650444984436},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.344402551651001},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3322765827178955},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20907089114189148},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.09028911590576172},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.04968532919883728},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/asy-2011-1073","is_oa":false,"landing_page_url":"https://doi.org/10.3233/asy-2011-1073","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2165749285","https://openalex.org/W2001036795","https://openalex.org/W2154748900","https://openalex.org/W2474979212","https://openalex.org/W3093811938","https://openalex.org/W1601247381","https://openalex.org/W127450631","https://openalex.org/W2062626603","https://openalex.org/W2087351849","https://openalex.org/W257950053"],"abstract_inverted_index":{"We":[0],"determine":[1],"the":[2,6,23,29,34],"asymptotic":[3],"behavior":[4],"of":[5,8],"eigenvalues":[7],"second-order":[9],"elliptic":[10],"operators":[11],"on":[12],"finite":[13],"networks":[14],"under":[15],"continuity":[16],"and":[17],"weighted":[18],"Kirchhoff":[19],"flow":[20],"conditions":[21],"at":[22],"vertices.":[24],"It":[25],"turns":[26],"out":[27],"that":[28],"quadratic":[30],"growth":[31],"formula":[32],"in":[33],"symmetrizable":[35]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-30T06:05:26.967640","created_date":"2025-10-10T00:00:00"}