{"id":"https://openalex.org/W2034608641","doi":"https://doi.org/10.1007/s10998-006-0022-3","title":"On the successive illumination parameters of convex bodies","display_name":"On the successive illumination parameters of convex bodies","publication_year":2006,"publication_date":"2006-09-01","ids":{"openalex":"https://openalex.org/W2034608641","doi":"https://doi.org/10.1007/s10998-006-0022-3","mag":"2034608641"},"language":"en","primary_location":{"id":"doi:10.1007/s10998-006-0022-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-006-0022-3","pdf_url":null,"source":{"id":"https://openalex.org/S106707257","display_name":"Periodica Mathematica Hungarica","issn_l":"0031-5303","issn":["0031-5303","1588-2829"],"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":"Periodica Mathematica Hungarica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://repozitorij.upr.si/IzpisGradiva.php?id=8380","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5073258078","display_name":"K\u00e1roly Bezdek","orcid":"https://orcid.org/0000-0003-3097-0430"},"institutions":[{"id":"https://openalex.org/I168635309","display_name":"University of Calgary","ror":"https://ror.org/03yjb2x39","country_code":"CA","type":"education","lineage":["https://openalex.org/I168635309"]},{"id":"https://openalex.org/I106118109","display_name":"E\u00f6tv\u00f6s Lor\u00e1nd University","ror":"https://ror.org/01jsq2704","country_code":"HU","type":"education","lineage":["https://openalex.org/I106118109"]}],"countries":["CA","HU"],"is_corresponding":true,"raw_author_name":"K\u00e1roly Bezdek","raw_affiliation_strings":["Department of Mathematics and Statistics, University of Calgary & Department of Geometry E\u00f6tv\u00f6s Lor\u00e1nd University, 2500 University Drive N.W., Calgary, AB, T2N 1N4, Canada & P\u00e1zm\u00e1ny P\u00e9ter s\u00e9t\u00e1ny 1/c H-1117 Budapest, Hungary","Department of Mathematics and Statistics, University of Calgary & Department of Geometry E\u00f6tv\u00f6s Lor\u00e1nd University,"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Calgary & Department of Geometry E\u00f6tv\u00f6s Lor\u00e1nd University, 2500 University Drive N.W., Calgary, AB, T2N 1N4, Canada & P\u00e1zm\u00e1ny P\u00e9ter s\u00e9t\u00e1ny 1/c H-1117 Budapest, Hungary","institution_ids":["https://openalex.org/I106118109","https://openalex.org/I168635309"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, University of Calgary & Department of Geometry E\u00f6tv\u00f6s Lor\u00e1nd University,","institution_ids":["https://openalex.org/I106118109"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017014622","display_name":"K\u00e1roly J. B\u00f6r\u00f6czky","orcid":"https://orcid.org/0000-0002-2882-4496"},"institutions":[{"id":"https://openalex.org/I106118109","display_name":"E\u00f6tv\u00f6s Lor\u00e1nd University","ror":"https://ror.org/01jsq2704","country_code":"HU","type":"education","lineage":["https://openalex.org/I106118109"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"K\u00e1roly B\u00f6r\u00f6czky","raw_affiliation_strings":["Department of Geometry, E\u00f6tv\u00f6s Lor\u00e1nd University, P\u00e1zm\u00e1ny P\u00e9ter s\u00e9t\u00e1ny 1/c H-1117 Budapest, Hungary","Department of Geometry, E\u00f6tv\u00f6s Lor\u00e1nd University"],"affiliations":[{"raw_affiliation_string":"Department of Geometry, E\u00f6tv\u00f6s Lor\u00e1nd University, P\u00e1zm\u00e1ny P\u00e9ter s\u00e9t\u00e1ny 1/c H-1117 Budapest, Hungary","institution_ids":["https://openalex.org/I106118109"]},{"raw_affiliation_string":"Department of Geometry, E\u00f6tv\u00f6s Lor\u00e1nd University","institution_ids":["https://openalex.org/I106118109"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007131151","display_name":"Gy\u00f6rgy Kiss","orcid":"https://orcid.org/0000-0003-3312-9575"},"institutions":[{"id":"https://openalex.org/I227486990","display_name":"University of Szeged","ror":"https://ror.org/01pnej532","country_code":"HU","type":"education","lineage":["https://openalex.org/I227486990"]},{"id":"https://openalex.org/I106118109","display_name":"E\u00f6tv\u00f6s Lor\u00e1nd University","ror":"https://ror.org/01jsq2704","country_code":"HU","type":"education","lineage":["https://openalex.org/I106118109"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Gy\u00f6rgy Kiss","raw_affiliation_strings":["Department of Geometry, E\u00f6tv\u00f6s Lor\u00e1nd University & Department of Geometry, Bolyai Institute  University of Szeged, P\u00e1zm\u00e1ny P\u00e9ter S\u00e9t\u00e1ny 1/c H-1117 Budapest, Hungary & 1 Aradi v\u00e9rtan\u00fak tere, H-6720 Szeged, Hungary","Department of Geometry, E\u00f6tv\u00f6s Lor\u00e1nd University & Department of Geometry, Bolyai Institute  University of Szeged"],"affiliations":[{"raw_affiliation_string":"Department of Geometry, E\u00f6tv\u00f6s Lor\u00e1nd University & Department of Geometry, Bolyai Institute  University of Szeged, P\u00e1zm\u00e1ny P\u00e9ter S\u00e9t\u00e1ny 1/c H-1117 Budapest, Hungary & 1 Aradi v\u00e9rtan\u00fak tere, H-6720 Szeged, Hungary","institution_ids":["https://openalex.org/I106118109","https://openalex.org/I227486990"]},{"raw_affiliation_string":"Department of Geometry, E\u00f6tv\u00f6s Lor\u00e1nd University & Department of Geometry, Bolyai Institute  University of Szeged","institution_ids":["https://openalex.org/I227486990","https://openalex.org/I106118109"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5073258078"],"corresponding_institution_ids":["https://openalex.org/I106118109","https://openalex.org/I168635309"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.4509,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.60665982,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"53","issue":"1-2","first_page":"71","last_page":"82"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9743000268936157,"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":0.9743000268936157,"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/mathematics","display_name":"Mathematics","score":0.889026403427124},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.8016774654388428},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.7329849004745483},{"id":"https://openalex.org/keywords/spheres","display_name":"SPHERES","score":0.7117074728012085},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.6289757490158081},{"id":"https://openalex.org/keywords/convex-polytope","display_name":"Convex polytope","score":0.5564318299293518},{"id":"https://openalex.org/keywords/mixed-volume","display_name":"Mixed volume","score":0.5494595170021057},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4734511077404022},{"id":"https://openalex.org/keywords/convex-body","display_name":"Convex body","score":0.47008776664733887},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.34758687019348145},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.3335348069667816},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3197048008441925},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.2592761516571045},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.16631662845611572},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.045850276947021484}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.889026403427124},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.8016774654388428},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.7329849004745483},{"id":"https://openalex.org/C72422203","wikidata":"https://www.wikidata.org/wiki/Q7392545","display_name":"SPHERES","level":2,"score":0.7117074728012085},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.6289757490158081},{"id":"https://openalex.org/C110943637","wikidata":"https://www.wikidata.org/wiki/Q4129097","display_name":"Convex polytope","level":5,"score":0.5564318299293518},{"id":"https://openalex.org/C44550424","wikidata":"https://www.wikidata.org/wiki/Q4424496","display_name":"Mixed volume","level":5,"score":0.5494595170021057},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4734511077404022},{"id":"https://openalex.org/C134912446","wikidata":"https://www.wikidata.org/wiki/Q5166516","display_name":"Convex body","level":4,"score":0.47008776664733887},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.34758687019348145},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.3335348069667816},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3197048008441925},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.2592761516571045},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.16631662845611572},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.045850276947021484},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10998-006-0022-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-006-0022-3","pdf_url":null,"source":{"id":"https://openalex.org/S106707257","display_name":"Periodica Mathematica Hungarica","issn_l":"0031-5303","issn":["0031-5303","1588-2829"],"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":"Periodica Mathematica Hungarica","raw_type":"journal-article"},{"id":"pmh:oai:repozitorij.upr.si:IzpisGradiva.php?id=8380","is_oa":true,"landing_page_url":"https://repozitorij.upr.si/IzpisGradiva.php?id=8380","pdf_url":null,"source":{"id":"https://openalex.org/S4377196486","display_name":"Repository of the University of Primorsk (University of Primorska)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118905719","host_organization_name":"University of Primorska","host_organization_lineage":["https://openalex.org/I118905719"],"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":null,"raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:repozitorij.upr.si:IzpisGradiva.php?id=8380","is_oa":true,"landing_page_url":"https://repozitorij.upr.si/IzpisGradiva.php?id=8380","pdf_url":null,"source":{"id":"https://openalex.org/S4377196486","display_name":"Repository of the University of Primorsk (University of Primorska)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118905719","host_organization_name":"University of Primorska","host_organization_lineage":["https://openalex.org/I118905719"],"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":null,"raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[{"display_name":"Climate action","score":0.5400000214576721,"id":"https://metadata.un.org/sdg/13"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W2027107806","https://openalex.org/W2049798553","https://openalex.org/W2111572882"],"related_works":["https://openalex.org/W2020521118","https://openalex.org/W3106007480","https://openalex.org/W2371177213","https://openalex.org/W3111547680","https://openalex.org/W4287551976","https://openalex.org/W4214974112","https://openalex.org/W2984552095","https://openalex.org/W1965966273","https://openalex.org/W1995892550","https://openalex.org/W2747480770"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
