{"id":"https://openalex.org/W2028140316","doi":"https://doi.org/10.1007/s00454-011-9354-8","title":"John and Loewner Ellipsoids","display_name":"John and Loewner Ellipsoids","publication_year":2011,"publication_date":"2011-05-10","ids":{"openalex":"https://openalex.org/W2028140316","doi":"https://doi.org/10.1007/s00454-011-9354-8","mag":"2028140316"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-011-9354-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-011-9354-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-011-9354-8.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/s00454-011-9354-8.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110086698","display_name":"Peter M. Gruber","orcid":null},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Peter M. Gruber","raw_affiliation_strings":["Forschungsgruppe Konvexe und Diskrete Geometrie, Technische Universit\u00e4t Wien, Wiedner Hauptstra\u00dfe 8\u201310/1046, 1040, Vienna, Austria","Technische Universit\u00e4t Wien, Forschungsgruppe Konvexe und Diskrete Geometrie, Wiedner Hauptstra\u00dfe 8\u201310/1046, 1040, Vienna, Austria#TAB#"],"affiliations":[{"raw_affiliation_string":"Forschungsgruppe Konvexe und Diskrete Geometrie, Technische Universit\u00e4t Wien, Wiedner Hauptstra\u00dfe 8\u201310/1046, 1040, Vienna, Austria","institution_ids":["https://openalex.org/I145847075"]},{"raw_affiliation_string":"Technische Universit\u00e4t Wien, Forschungsgruppe Konvexe und Diskrete Geometrie, Wiedner Hauptstra\u00dfe 8\u201310/1046, 1040, Vienna, Austria#TAB#","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5110086698"],"corresponding_institution_ids":["https://openalex.org/I145847075"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.6966,"has_fulltext":true,"cited_by_count":33,"citation_normalized_percentile":{"value":0.92533333,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"46","issue":"4","first_page":"776","last_page":"788"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9998999834060669,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9998999834060669,"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/T12504","display_name":"Mathematics and Applications","score":0.9638000130653381,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/ellipsoid","display_name":"Ellipsoid","score":0.9413667917251587},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8356854319572449},{"id":"https://openalex.org/keywords/convex-body","display_name":"Convex body","score":0.7858172059059143},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.6038175225257874},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6024129390716553},{"id":"https://openalex.org/keywords/affine-space","display_name":"Affine space","score":0.5724067687988281},{"id":"https://openalex.org/keywords/volume","display_name":"Volume (thermodynamics)","score":0.5323538780212402},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5056188106536865},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.4111635088920593},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3697136640548706},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35949063301086426},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.17356941103935242},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07400941848754883}],"concepts":[{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.9413667917251587},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8356854319572449},{"id":"https://openalex.org/C134912446","wikidata":"https://www.wikidata.org/wiki/Q5166516","display_name":"Convex body","level":4,"score":0.7858172059059143},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.6038175225257874},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6024129390716553},{"id":"https://openalex.org/C173110770","wikidata":"https://www.wikidata.org/wiki/Q382698","display_name":"Affine space","level":3,"score":0.5724067687988281},{"id":"https://openalex.org/C20556612","wikidata":"https://www.wikidata.org/wiki/Q4469374","display_name":"Volume (thermodynamics)","level":2,"score":0.5323538780212402},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5056188106536865},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.4111635088920593},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3697136640548706},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35949063301086426},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.17356941103935242},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07400941848754883},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00454-011-9354-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-011-9354-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-011-9354-8.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"Discrete &amp; Computational Geometry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00454-011-9354-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-011-9354-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-011-9354-8.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.44999998807907104}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2028140316.pdf","grobid_xml":"https://content.openalex.org/works/W2028140316.grobid-xml"},"referenced_works_count":23,"referenced_works":["https://openalex.org/W21857574","https://openalex.org/W152780285","https://openalex.org/W187211397","https://openalex.org/W1492649312","https://openalex.org/W1527378096","https://openalex.org/W1539609250","https://openalex.org/W1540940340","https://openalex.org/W1545819915","https://openalex.org/W1571966798","https://openalex.org/W1606263708","https://openalex.org/W1965099828","https://openalex.org/W2009577868","https://openalex.org/W2025658979","https://openalex.org/W2029597787","https://openalex.org/W2033119195","https://openalex.org/W2039421340","https://openalex.org/W2047661573","https://openalex.org/W2047996254","https://openalex.org/W2058619437","https://openalex.org/W2065015447","https://openalex.org/W2076583657","https://openalex.org/W2907643919","https://openalex.org/W2964217433"],"related_works":["https://openalex.org/W1983644037","https://openalex.org/W2028140316","https://openalex.org/W4300856049","https://openalex.org/W2890470282","https://openalex.org/W1808505151","https://openalex.org/W3023280994","https://openalex.org/W3113623291","https://openalex.org/W4294007578","https://openalex.org/W2965406961","https://openalex.org/W2055328528"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
