{"id":"https://openalex.org/W2274535864","doi":"https://doi.org/10.1007/s00454-016-9844-9","title":"Stability Inequalities for Projections of Convex Bodies","display_name":"Stability Inequalities for Projections of Convex Bodies","publication_year":2016,"publication_date":"2016-11-22","ids":{"openalex":"https://openalex.org/W2274535864","doi":"https://doi.org/10.1007/s00454-016-9844-9","mag":"2274535864"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-016-9844-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-016-9844-9","pdf_url":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102833837","display_name":"Alexander Koldobsky","orcid":"https://orcid.org/0000-0002-9963-1894"},"institutions":[{"id":"https://openalex.org/I76835614","display_name":"University of Missouri","ror":"https://ror.org/02ymw8z06","country_code":"US","type":"education","lineage":["https://openalex.org/I76835614"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alexander Koldobsky","raw_affiliation_strings":["Department of Mathematics, University of Missouri, Columbia, MO, 65211, USA"],"raw_orcid":"https://orcid.org/0000-0002-9963-1894","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Missouri, Columbia, MO, 65211, USA","institution_ids":["https://openalex.org/I76835614"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5102833837"],"corresponding_institution_ids":["https://openalex.org/I76835614"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.0281,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.73787171,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"57","issue":"1","first_page":"152","last_page":"163"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9998000264167786,"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":0.9998000264167786,"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/T11335","display_name":"Prion Diseases and Protein Misfolding","score":0.9495000243186951,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9417999982833862,"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/combinatorics","display_name":"Combinatorics","score":0.7835965752601624},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6800410747528076},{"id":"https://openalex.org/keywords/convex-body","display_name":"Convex body","score":0.6340200901031494},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5653132796287537},{"id":"https://openalex.org/keywords/hyperplane","display_name":"Hyperplane","score":0.551618754863739},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5036060214042664},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4755663275718689},{"id":"https://openalex.org/keywords/dilation","display_name":"Dilation (metric space)","score":0.46063363552093506},{"id":"https://openalex.org/keywords/nabla-symbol","display_name":"Nabla symbol","score":0.45762404799461365},{"id":"https://openalex.org/keywords/physical-constant","display_name":"Physical constant","score":0.41277217864990234},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3785012662410736},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.27425703406333923},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.18668889999389648},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.1651734709739685}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7835965752601624},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6800410747528076},{"id":"https://openalex.org/C134912446","wikidata":"https://www.wikidata.org/wiki/Q5166516","display_name":"Convex body","level":4,"score":0.6340200901031494},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5653132796287537},{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.551618754863739},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5036060214042664},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4755663275718689},{"id":"https://openalex.org/C2780757906","wikidata":"https://www.wikidata.org/wiki/Q5276676","display_name":"Dilation (metric space)","level":2,"score":0.46063363552093506},{"id":"https://openalex.org/C54207081","wikidata":"https://www.wikidata.org/wiki/Q937750","display_name":"Nabla symbol","level":3,"score":0.45762404799461365},{"id":"https://openalex.org/C53105687","wikidata":"https://www.wikidata.org/wiki/Q173227","display_name":"Physical constant","level":2,"score":0.41277217864990234},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3785012662410736},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.27425703406333923},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.18668889999389648},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.1651734709739685},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","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":2,"locations":[{"id":"doi:10.1007/s00454-016-9844-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-016-9844-9","pdf_url":null,"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"},{"id":"pmh:oai:edoc.mpg.de:734223","is_oa":false,"landing_page_url":"http://edoc.mpg.de/734223","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discrete &amp; Computational Geometry, v.57, 152-163 (2017)","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3416852516","display_name":null,"funder_award_id":"DMS-1265155","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320322434","display_name":"Max-Planck-Gesellschaft","ror":"https://ror.org/01hhn8329"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W934596661","https://openalex.org/W1487151840","https://openalex.org/W1571966798","https://openalex.org/W1604027237","https://openalex.org/W1985709807","https://openalex.org/W2007621985","https://openalex.org/W2022802080","https://openalex.org/W2025475361","https://openalex.org/W2028933814","https://openalex.org/W2084183060","https://openalex.org/W2087867172","https://openalex.org/W2094771743","https://openalex.org/W2496348922","https://openalex.org/W2963561402","https://openalex.org/W3099523897","https://openalex.org/W4213292367"],"related_works":["https://openalex.org/W2229925025","https://openalex.org/W1539596337","https://openalex.org/W33469805","https://openalex.org/W2949537367","https://openalex.org/W2254594481","https://openalex.org/W1984292378","https://openalex.org/W2256648883","https://openalex.org/W86984613","https://openalex.org/W2037515146","https://openalex.org/W2605938142"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
