{"id":"https://openalex.org/W1971685915","doi":"https://doi.org/10.1007/s00454-012-9476-7","title":"Asymptotics for Some Combinatorial Characteristics of the Convex Hull of a Poisson Point Process in the Clifford Torus","display_name":"Asymptotics for Some Combinatorial Characteristics of the Convex Hull of a Poisson Point Process in the Clifford Torus","publication_year":2012,"publication_date":"2012-12-13","ids":{"openalex":"https://openalex.org/W1971685915","doi":"https://doi.org/10.1007/s00454-012-9476-7","mag":"1971685915"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-012-9476-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-012-9476-7","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs00454-012-9476-7.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 & 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%2Fs00454-012-9476-7.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087548226","display_name":"Alexander Magazinov","orcid":"https://orcid.org/0000-0002-9406-013X"},"institutions":[{"id":"https://openalex.org/I2801160905","display_name":"Steklov Mathematical Institute","ror":"https://ror.org/03zeg8w71","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2801160905","https://openalex.org/I4210124601"]},{"id":"https://openalex.org/I1313323035","display_name":"Russian Academy of Sciences","ror":"https://ror.org/05qrfxd25","country_code":"RU","type":"funder","lineage":["https://openalex.org/I1313323035"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Alexander Magazinov","raw_affiliation_strings":["Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russian Federation","Steklov Mathematical Institute of Russian Academy of Sciences"],"affiliations":[{"raw_affiliation_string":"Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russian Federation","institution_ids":["https://openalex.org/I2801160905","https://openalex.org/I1313323035"]},{"raw_affiliation_string":"Steklov Mathematical Institute of Russian Academy of Sciences","institution_ids":["https://openalex.org/I2801160905","https://openalex.org/I1313323035"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5087548226"],"corresponding_institution_ids":["https://openalex.org/I1313323035","https://openalex.org/I2801160905"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06598697,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"49","issue":"2","first_page":"200","last_page":"220"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9993000030517578,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9988999962806702,"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":0.8107914328575134},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7631018161773682},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.6171873211860657},{"id":"https://openalex.org/keywords/torus","display_name":"Torus","score":0.6093452572822571},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.5815017819404602},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5492213368415833},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4596402943134308},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.20687702298164368},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18084362149238586}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8107914328575134},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7631018161773682},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.6171873211860657},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.6093452572822571},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.5815017819404602},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5492213368415833},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4596402943134308},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.20687702298164368},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18084362149238586},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00454-012-9476-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-012-9476-7","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs00454-012-9476-7.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 & Computational Geometry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00454-012-9476-7","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-012-9476-7","pdf_url":"https://link.springer.com/content/pdf/10.1007%2Fs00454-012-9476-7.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 & Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3869336218","display_name":null,"funder_award_id":"11-01-00633-a","funder_id":"https://openalex.org/F4320321079","funder_display_name":"Russian Foundation for Basic Research"},{"id":"https://openalex.org/G6239622381","display_name":null,"funder_award_id":"11-01-00633","funder_id":"https://openalex.org/F4320321079","funder_display_name":"Russian Foundation for Basic Research"},{"id":"https://openalex.org/G6471918000","display_name":null,"funder_award_id":"G34.31.0053","funder_id":"https://openalex.org/F4320321079","funder_display_name":"Russian Foundation for Basic Research"}],"funders":[{"id":"https://openalex.org/F4320321079","display_name":"Russian Foundation for Basic Research","ror":"https://ror.org/02mh1ke95"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1971685915.pdf","grobid_xml":"https://content.openalex.org/works/W1971685915.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W9575071","https://openalex.org/W14515589","https://openalex.org/W1521388935","https://openalex.org/W1969165241","https://openalex.org/W2073338849","https://openalex.org/W2187320011","https://openalex.org/W2941876699","https://openalex.org/W3023514161","https://openalex.org/W3043060850"],"related_works":["https://openalex.org/W1487790116","https://openalex.org/W2146447767","https://openalex.org/W3124916295","https://openalex.org/W2022411416","https://openalex.org/W2167530280","https://openalex.org/W2951695430","https://openalex.org/W4248544590","https://openalex.org/W3197597876","https://openalex.org/W1968107836","https://openalex.org/W2038335296"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}