{"id":"https://openalex.org/W2041032149","doi":"https://doi.org/10.1007/s00454-011-9362-8","title":"A Hyperplane Inequality for Measures of Convex Bodies in \u211d n , n\u22644","display_name":"A Hyperplane Inequality for Measures of Convex Bodies in \u211d n , n\u22644","publication_year":2011,"publication_date":"2011-06-10","ids":{"openalex":"https://openalex.org/W2041032149","doi":"https://doi.org/10.1007/s00454-011-9362-8","mag":"2041032149"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-011-9362-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-011-9362-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-011-9362-8.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/s00454-011-9362-8.pdf","any_repository_has_fulltext":true},"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","University of Missouri, Department of Mathematics, 65211, Columbia, MO, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Missouri, Columbia, MO, 65211, USA","institution_ids":["https://openalex.org/I76835614"]},{"raw_affiliation_string":"University of Missouri, Department of Mathematics, 65211, Columbia, MO, USA#TAB#","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":4.5611,"has_fulltext":true,"cited_by_count":29,"citation_normalized_percentile":{"value":0.9472724,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"47","issue":"3","first_page":"538","last_page":"547"},"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/T11335","display_name":"Prion Diseases and Protein Misfolding","score":0.9467999935150146,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9308000206947327,"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":0.819930911064148},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.780516505241394},{"id":"https://openalex.org/keywords/hyperplane","display_name":"Hyperplane","score":0.7355772256851196},{"id":"https://openalex.org/keywords/convex-body","display_name":"Convex body","score":0.7004901766777039},{"id":"https://openalex.org/keywords/unit-sphere","display_name":"Unit sphere","score":0.6904281973838806},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5596301555633545},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5564873814582825},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.4962015748023987},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.36295247077941895},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.17274746298789978}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.819930911064148},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.780516505241394},{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.7355772256851196},{"id":"https://openalex.org/C134912446","wikidata":"https://www.wikidata.org/wiki/Q5166516","display_name":"Convex body","level":4,"score":0.7004901766777039},{"id":"https://openalex.org/C191948623","wikidata":"https://www.wikidata.org/wiki/Q1307800","display_name":"Unit sphere","level":2,"score":0.6904281973838806},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5596301555633545},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5564873814582825},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.4962015748023987},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.36295247077941895},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.17274746298789978},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00454-011-9362-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-011-9362-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-011-9362-8.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"},{"id":"pmh:oai:edoc.mpg.de:634810","is_oa":false,"landing_page_url":"http://edoc.mpg.de/634810","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.47, 538-547 (2012)","raw_type":"Article"},{"id":"pmh:oai:pure.mpg.de:item_3121940","is_oa":true,"landing_page_url":"http://hdl.handle.net/21.11116/0000-0004-1E30-5","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pure.mpg.de:item_3121940","is_oa":true,"landing_page_url":"https://hdl.handle.net/21.11116/0000-0004-1E30-5","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discrete & Computational Geometry","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s00454-011-9362-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-011-9362-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-011-9362-8.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":[],"awards":[{"id":"https://openalex.org/G5751921140","display_name":"FRG: Collaborative Research: Fourier analytic and probabilistic methods in geometric functional analysis and convexity","funder_award_id":"0652571","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"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2041032149.pdf","grobid_xml":"https://content.openalex.org/works/W2041032149.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W26985254","https://openalex.org/W615000568","https://openalex.org/W638923023","https://openalex.org/W644522774","https://openalex.org/W934596661","https://openalex.org/W1604027237","https://openalex.org/W1970476235","https://openalex.org/W1977287551","https://openalex.org/W1984024149","https://openalex.org/W1984812634","https://openalex.org/W1987970267","https://openalex.org/W1989796976","https://openalex.org/W2006252618","https://openalex.org/W2026114254","https://openalex.org/W2038153565","https://openalex.org/W2059033534","https://openalex.org/W2059748356","https://openalex.org/W2074266175","https://openalex.org/W2076183396","https://openalex.org/W2084878648","https://openalex.org/W2087867172","https://openalex.org/W2098571881","https://openalex.org/W2141935810","https://openalex.org/W2172026658","https://openalex.org/W2314138121","https://openalex.org/W2314241212","https://openalex.org/W2487893106","https://openalex.org/W2530199093","https://openalex.org/W2963561402","https://openalex.org/W4213292367","https://openalex.org/W4241060531","https://openalex.org/W4253558876","https://openalex.org/W4254502176"],"related_works":["https://openalex.org/W2949537367","https://openalex.org/W2254594481","https://openalex.org/W1984292378","https://openalex.org/W2256648883","https://openalex.org/W1970510316","https://openalex.org/W86984613","https://openalex.org/W4308755502","https://openalex.org/W2037515146","https://openalex.org/W3120597765","https://openalex.org/W4287712648"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
