{"id":"https://openalex.org/W2021939428","doi":"https://doi.org/10.1007/s10998-006-0031-2","title":"Some applications of cross-section measures in Minkowski spaces","display_name":"Some applications of cross-section measures in Minkowski spaces","publication_year":2006,"publication_date":"2006-09-01","ids":{"openalex":"https://openalex.org/W2021939428","doi":"https://doi.org/10.1007/s10998-006-0031-2","mag":"2021939428"},"language":"en","primary_location":{"id":"doi:10.1007/s10998-006-0031-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-006-0031-2","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040806028","display_name":"Horst Martini","orcid":null},"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":true,"raw_author_name":"Horst Martini","raw_affiliation_strings":["Faculty of Mathematics, University of Technology Chemnitz, 09107 Chemnitz, Germany","Faculty of Mathematics, University of Technology Chemnitz"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, University of Technology Chemnitz, 09107 Chemnitz, Germany","institution_ids":["https://openalex.org/I2610724"]},{"raw_affiliation_string":"Faculty of Mathematics, University of Technology Chemnitz","institution_ids":["https://openalex.org/I2610724"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056996942","display_name":"Zokhrab Mustafaev","orcid":"https://orcid.org/0009-0004-4540-4946"},"institutions":[{"id":"https://openalex.org/I52913039","display_name":"University of Houston - Clear Lake","ror":"https://ror.org/01t817z14","country_code":"US","type":"education","lineage":["https://openalex.org/I52913039"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zokhrab Mustafaev","raw_affiliation_strings":["Department of Mathematics, University of Houston-Clear Lake, Houston, TX 77058 USA","Department of Mathematics, University of Houston-Clear Lake"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Houston-Clear Lake, Houston, TX 77058 USA","institution_ids":["https://openalex.org/I52913039"]},{"raw_affiliation_string":"Department of Mathematics, University of Houston-Clear Lake","institution_ids":["https://openalex.org/I52913039"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5040806028"],"corresponding_institution_ids":["https://openalex.org/I2610724"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.4542,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.59948074,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"53","issue":"1-2","first_page":"185","last_page":"197"},"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/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9883999824523926,"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/T11545","display_name":"Advanced Banach Space Theory","score":0.9624000191688538,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/minkowski-space","display_name":"Minkowski space","score":0.8950836658477783},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8754022121429443},{"id":"https://openalex.org/keywords/unit-sphere","display_name":"Unit sphere","score":0.8260477781295776},{"id":"https://openalex.org/keywords/section","display_name":"Section (typography)","score":0.6235275268554688},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6130616664886475},{"id":"https://openalex.org/keywords/ellipsoid","display_name":"Ellipsoid","score":0.5379660129547119},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.5344753861427307},{"id":"https://openalex.org/keywords/unit","display_name":"Unit (ring theory)","score":0.47085756063461304},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4315701723098755},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4252236485481262},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.36521390080451965},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.34437239170074463},{"id":"https://openalex.org/keywords/mathematics-education","display_name":"Mathematics education","score":0.07724776864051819},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.044946879148483276}],"concepts":[{"id":"https://openalex.org/C79464548","wikidata":"https://www.wikidata.org/wiki/Q464794","display_name":"Minkowski space","level":2,"score":0.8950836658477783},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8754022121429443},{"id":"https://openalex.org/C191948623","wikidata":"https://www.wikidata.org/wiki/Q1307800","display_name":"Unit sphere","level":2,"score":0.8260477781295776},{"id":"https://openalex.org/C2780129039","wikidata":"https://www.wikidata.org/wiki/Q1931107","display_name":"Section (typography)","level":2,"score":0.6235275268554688},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6130616664886475},{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.5379660129547119},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.5344753861427307},{"id":"https://openalex.org/C122637931","wikidata":"https://www.wikidata.org/wiki/Q118084","display_name":"Unit (ring theory)","level":2,"score":0.47085756063461304},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4315701723098755},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4252236485481262},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.36521390080451965},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.34437239170074463},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.07724776864051819},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.044946879148483276},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0},{"id":"https://openalex.org/C112698675","wikidata":"https://www.wikidata.org/wiki/Q37038","display_name":"Advertising","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10998-006-0031-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-006-0031-2","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.6100000143051147}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W188629413","https://openalex.org/W649064425","https://openalex.org/W1571966798","https://openalex.org/W1578014057","https://openalex.org/W1974932178","https://openalex.org/W1976233953","https://openalex.org/W2026525595","https://openalex.org/W2026581117","https://openalex.org/W2052343529","https://openalex.org/W2082403728","https://openalex.org/W2146190196","https://openalex.org/W2745372578"],"related_works":["https://openalex.org/W1986006778","https://openalex.org/W2005485125","https://openalex.org/W2390718407","https://openalex.org/W2085363807","https://openalex.org/W2034124193","https://openalex.org/W2379017606","https://openalex.org/W3038930858","https://openalex.org/W2387072865","https://openalex.org/W2804455714","https://openalex.org/W1530081058"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"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"}