{"id":"https://openalex.org/W2037586226","doi":"https://doi.org/10.1007/s00454-012-9468-7","title":"Estimating Support Functions of Random Polytopes via Orlicz Norms","display_name":"Estimating Support Functions of Random Polytopes via Orlicz Norms","publication_year":2012,"publication_date":"2012-10-09","ids":{"openalex":"https://openalex.org/W2037586226","doi":"https://doi.org/10.1007/s00454-012-9468-7","mag":"2037586226"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-012-9468-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-012-9468-7","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs00454-012-9468-7.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%2Fs00454-012-9468-7.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034866938","display_name":"David Alonso\u2013Guti\u00e9rrez","orcid":"https://orcid.org/0000-0003-1256-3671"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"David Alonso-Guti\u00e9rrez","raw_affiliation_strings":["Department of Mathematical and Statistical Sciences, University of Alberta, 505 Central Academic Building, Edmonton, T6G 2G1, Canada","University of Alberta"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical and Statistical Sciences, University of Alberta, 505 Central Academic Building, Edmonton, T6G 2G1, Canada","institution_ids":["https://openalex.org/I154425047"]},{"raw_affiliation_string":"University of Alberta","institution_ids":["https://openalex.org/I154425047"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032929787","display_name":"Joscha Prochno","orcid":"https://orcid.org/0000-0002-0750-2850"},"institutions":[{"id":"https://openalex.org/I154425047","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27","country_code":"CA","type":"education","lineage":["https://openalex.org/I154425047"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Joscha Prochno","raw_affiliation_strings":["Department of Mathematical and Statistical Sciences, University of Alberta, 505 Central Academic Building, Edmonton, T6G 2G1, Canada","University of Alberta"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical and Statistical Sciences, University of Alberta, 505 Central Academic Building, Edmonton, T6G 2G1, Canada","institution_ids":["https://openalex.org/I154425047"]},{"raw_affiliation_string":"University of Alberta","institution_ids":["https://openalex.org/I154425047"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5034866938"],"corresponding_institution_ids":["https://openalex.org/I154425047"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.5272,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.88061648,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"49","issue":"3","first_page":"558","last_page":"588"},"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/T11564","display_name":"Mathematical Inequalities and Applications","score":0.9872000217437744,"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.958899974822998,"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/polytope","display_name":"Polytope","score":0.9114162921905518},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8528335094451904},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.65873783826828},{"id":"https://openalex.org/keywords/convex-body","display_name":"Convex body","score":0.6058619022369385},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5873820185661316},{"id":"https://openalex.org/keywords/convex-polytope","display_name":"Convex polytope","score":0.5774965286254883},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.5639458298683167},{"id":"https://openalex.org/keywords/expected-value","display_name":"Expected value","score":0.4905235171318054},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.4660201072692871},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3263248801231384},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.21445739269256592},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.174929678440094},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12101146578788757},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.12051254510879517},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.08321061730384827}],"concepts":[{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.9114162921905518},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8528335094451904},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.65873783826828},{"id":"https://openalex.org/C134912446","wikidata":"https://www.wikidata.org/wiki/Q5166516","display_name":"Convex body","level":4,"score":0.6058619022369385},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5873820185661316},{"id":"https://openalex.org/C110943637","wikidata":"https://www.wikidata.org/wiki/Q4129097","display_name":"Convex polytope","level":5,"score":0.5774965286254883},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.5639458298683167},{"id":"https://openalex.org/C141042865","wikidata":"https://www.wikidata.org/wiki/Q200125","display_name":"Expected value","level":2,"score":0.4905235171318054},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.4660201072692871},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3263248801231384},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.21445739269256592},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.174929678440094},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12101146578788757},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.12051254510879517},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.08321061730384827}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00454-012-9468-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-012-9468-7","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs00454-012-9468-7.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:repositori.uji.es:10234/89829","is_oa":false,"landing_page_url":"http://hdl.handle.net/10234/89829","pdf_url":null,"source":{"id":"https://openalex.org/S4306400303","display_name":"Repositori UJI (Universitat Jaume I)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I10902133","host_organization_name":"Universitat Jaume I","host_organization_lineage":["https://openalex.org/I10902133"],"host_organization_lineage_names":[],"type":"repository"},"license":"public-domain","license_id":"https://openalex.org/licenses/public-domain","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1007/s00454-012-9468-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-012-9468-7","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs00454-012-9468-7.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":[{"id":"https://metadata.un.org/sdg/10","score":0.4399999976158142,"display_name":"Reduced inequalities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320319946","display_name":"University of Alberta","ror":"https://ror.org/0160cpw27"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2037586226.pdf","grobid_xml":"https://content.openalex.org/works/W2037586226.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W846112684","https://openalex.org/W1487151840","https://openalex.org/W1526489138","https://openalex.org/W1532254187","https://openalex.org/W1580157800","https://openalex.org/W1599297873","https://openalex.org/W1607203414","https://openalex.org/W1906827836","https://openalex.org/W1969372199","https://openalex.org/W1972194652","https://openalex.org/W1975428227","https://openalex.org/W1976595094","https://openalex.org/W1996295872","https://openalex.org/W1998348709","https://openalex.org/W2005314985","https://openalex.org/W2011872347","https://openalex.org/W2029752624","https://openalex.org/W2036483997","https://openalex.org/W2044092891","https://openalex.org/W2062821186","https://openalex.org/W2077458243","https://openalex.org/W2088597097","https://openalex.org/W2089673856","https://openalex.org/W2119417700","https://openalex.org/W2220712716","https://openalex.org/W2263647176","https://openalex.org/W2336216304","https://openalex.org/W2481825374","https://openalex.org/W2496539891","https://openalex.org/W2504355181","https://openalex.org/W2540484073","https://openalex.org/W2963401100","https://openalex.org/W2963777405","https://openalex.org/W4237818943","https://openalex.org/W4239504071","https://openalex.org/W4291439952"],"related_works":["https://openalex.org/W4287022798","https://openalex.org/W2884061808","https://openalex.org/W2901329027","https://openalex.org/W2341883566","https://openalex.org/W4301271320","https://openalex.org/W2952186610","https://openalex.org/W1967098823","https://openalex.org/W1990911204","https://openalex.org/W2076059647","https://openalex.org/W2980284914"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
