{"id":"https://openalex.org/W2033057297","doi":"https://doi.org/10.1016/j.jat.2006.09.002","title":"Unbounded Jacobi matrices at critical coupling","display_name":"Unbounded Jacobi matrices at critical coupling","publication_year":2006,"publication_date":"2006-10-24","ids":{"openalex":"https://openalex.org/W2033057297","doi":"https://doi.org/10.1016/j.jat.2006.09.002","mag":"2033057297"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jat.2006.09.002","pdf_url":null,"source":{"id":"https://openalex.org/S35093870","display_name":"Journal of Approximation Theory","issn_l":"0021-9045","issn":["0021-9045","1096-0430"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5067729747","display_name":"David Damanik","orcid":"https://orcid.org/0000-0001-5924-3849"},"institutions":[{"id":"https://openalex.org/I74775410","display_name":"Rice University","ror":"https://ror.org/008zs3103","country_code":"US","type":"education","lineage":["https://openalex.org/I74775410"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David Damanik","raw_affiliation_strings":["Department of Mathematics, Rice University, Houston, TX\u00a077005, USA ("],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Rice University, Houston, TX\u00a077005, USA (","institution_ids":["https://openalex.org/I74775410"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040616657","display_name":"Serguei Naboko","orcid":"https://orcid.org/0000-0003-3604-0664"},"institutions":[{"id":"https://openalex.org/I172901346","display_name":"St Petersburg University","ror":"https://ror.org/023znxa73","country_code":"RU","type":"education","lineage":["https://openalex.org/I172901346"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Serguei Naboko","raw_affiliation_strings":["Department of Mathematical Physics, Institute of Physics, St. Petersburg University, Ulianovskaia 1, 198904 St. Petergoff, St. Petersburg, Russia#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Physics, Institute of Physics, St. Petersburg University, Ulianovskaia 1, 198904 St. Petergoff, St. Petersburg, Russia#TAB#","institution_ids":["https://openalex.org/I172901346"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2720,"currency":"USD","value_usd":2720,"provenance":"doaj"},"apc_paid":null,"fwci":1.369,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":20,"citation_normalized_percentile":{"value":0.817001,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":88},"biblio":{"volume":"145","issue":"2","first_page":"221","last_page":"236"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9998,"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"}},"topics":[{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.9998,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.993,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9903,"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/critical-point","display_name":"Critical point (mathematics)","score":0.6278507},{"id":"https://openalex.org/keywords/absolute-continuity","display_name":"Absolute continuity","score":0.5324688},{"id":"https://openalex.org/keywords/transition-point","display_name":"Transition point","score":0.41940412}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.88622737},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.6788014},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6446897},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.628464},{"id":"https://openalex.org/C196298200","wikidata":"https://www.wikidata.org/wiki/Q577705","display_name":"Critical point (mathematics)","level":2,"score":0.6278507},{"id":"https://openalex.org/C118733216","wikidata":"https://www.wikidata.org/wiki/Q332504","display_name":"Absolute continuity","level":2,"score":0.5324688},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.50937784},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.4750557},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4712981},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4422274},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4349654},{"id":"https://openalex.org/C168907044","wikidata":"https://www.wikidata.org/wiki/Q7834431","display_name":"Transition point","level":2,"score":0.41940412},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10705879},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.082481325},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07120097},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"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/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jat.2006.09.002","pdf_url":null,"source":{"id":"https://openalex.org/S35093870","display_name":"Journal of Approximation Theory","issn_l":"0021-9045","issn":["0021-9045","1096-0430"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":18,"referenced_works":["https://openalex.org/W1510531757","https://openalex.org/W1515677510","https://openalex.org/W1524920852","https://openalex.org/W1970763840","https://openalex.org/W1985531520","https://openalex.org/W2015591676","https://openalex.org/W2016097386","https://openalex.org/W2025833290","https://openalex.org/W2040906098","https://openalex.org/W2045985189","https://openalex.org/W2051413153","https://openalex.org/W2056325014","https://openalex.org/W2074526511","https://openalex.org/W2086255414","https://openalex.org/W2089616341","https://openalex.org/W2331222876","https://openalex.org/W4285719527","https://openalex.org/W616157599"],"related_works":["https://openalex.org/W4302033952","https://openalex.org/W4298340128","https://openalex.org/W3131875868","https://openalex.org/W3099534911","https://openalex.org/W3028485397","https://openalex.org/W2071117712","https://openalex.org/W2033205030","https://openalex.org/W1996221864","https://openalex.org/W176573086","https://openalex.org/W1660155480"],"abstract_inverted_index":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2033057297","counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-01-17T15:21:29.200438","created_date":"2016-06-24"}