{"id":"https://openalex.org/W4400611679","doi":"https://doi.org/10.1007/978-3-031-50507-2","title":"Convexity from the Geometric Point of View","display_name":"Convexity from the Geometric Point of View","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4400611679","doi":"https://doi.org/10.1007/978-3-031-50507-2"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-50507-2","doi":"https://doi.org/10.1007/978-3-031-50507-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-50507-2","pdf_url":null,"source":{"id":"https://openalex.org/S4210186069","display_name":"Cornerstones","issn_l":"2197-182X","issn":["2197-182X","2197-1838"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cornerstones","raw_type":"book"},"volume":null,"type":"book","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/A5034554000","display_name":"Vitor Balestro","orcid":"https://orcid.org/0000-0002-4833-5454","observed_orcids":["https://orcid.org/0000-0002-4833-5454"]},"institutions":[{"id":"https://openalex.org/I161127581","display_name":"Universidade Federal Fluminense","ror":"https://ror.org/02rjhbb08","country_code":"BR","type":"education","lineage":["https://openalex.org/I161127581"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Vitor Balestro","raw_affiliation_strings":["Institute of Mathematics and Statistics, Fluminense Federal University, Niter\u00f3i, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Statistics, Fluminense Federal University, Niter\u00f3i, Brazil","institution_ids":["https://openalex.org/I161127581"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040806028","display_name":"Horst Martini","orcid":"https://orcid.org/0000-0002-1726-4163","observed_orcids":["https://orcid.org/0000-0002-1726-4163"]},"institutions":[{"id":"https://openalex.org/I2610724","display_name":"Chemnitz University of Technology","ror":"https://ror.org/00a208s56","country_code":"DE","type":"education","lineage":["https://openalex.org/I2610724"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Horst Martini","raw_affiliation_strings":["Faculty of Mathematics, Chemnitz University of Technology, Chemnitz, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Chemnitz University of Technology, Chemnitz, Germany","institution_ids":["https://openalex.org/I2610724"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075003461","display_name":"Ralph Costa Teixeira","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I161127581","display_name":"Universidade Federal Fluminense","ror":"https://ror.org/02rjhbb08","country_code":"BR","type":"education","lineage":["https://openalex.org/I161127581"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Ralph Teixeira","raw_affiliation_strings":["Institute of Mathematics and Statistics, Fluminense Federal University, Niter\u00f3i, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Statistics, Fluminense Federal University, Niter\u00f3i, Brazil","institution_ids":["https://openalex.org/I161127581"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.4363,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.96428571,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.8359000086784363,"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":0.8359000086784363,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.05090000107884407,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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":0.028300000354647636,"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/convexity","display_name":"convexity","score":0.953000009059906},{"id":"https://openalex.org/keywords/convex-sets","display_name":"convex sets","score":0.953000009059906},{"id":"https://openalex.org/keywords/convex-functions","display_name":"convex functions","score":0.7480000257492065},{"id":"https://openalex.org/keywords/convex-geometry","display_name":"convex geometry","score":0.7139999866485596},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"convex analysis","score":0.42100000381469727}],"concepts":[{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.8211765289306641},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5845078825950623},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3986789584159851},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36063265800476074},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.31463822722435},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.13240450620651245},{"id":"https://openalex.org/C106159729","wikidata":"https://www.wikidata.org/wiki/Q2294553","display_name":"Financial economics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-50507-2","doi":"https://doi.org/10.1007/978-3-031-50507-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-50507-2","pdf_url":null,"source":{"id":"https://openalex.org/S4210186069","display_name":"Cornerstones","issn_l":"2197-182X","issn":["2197-182X","2197-1838"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cornerstones","raw_type":"book"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7151765486","https://openalex.org/W4388320829","https://openalex.org/W4411976294","https://openalex.org/W7134137161","https://openalex.org/W3081972293","https://openalex.org/W4376623487","https://openalex.org/W7099701365","https://openalex.org/W2478806823","https://openalex.org/W4233828938","https://openalex.org/W4411976316"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":1}],"updated_date":"2026-09-22T06:50:58.402377","created_date":"2024-07-14T00:00:00"}