{"id":"https://openalex.org/W2599553067","doi":"https://doi.org/10.1007/s00454-019-00067-0","title":"On the Number of Flats Tangent to Convex Hypersurfaces in Random Position","display_name":"On the Number of Flats Tangent to Convex Hypersurfaces in Random Position","publication_year":2019,"publication_date":"2019-03-08","ids":{"openalex":"https://openalex.org/W2599553067","doi":"https://doi.org/10.1007/s00454-019-00067-0","mag":"2599553067"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-019-00067-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-019-00067-0","pdf_url":null,"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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1702.06518","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053482747","display_name":"Khazhgali Kozhasov","orcid":"https://orcid.org/0000-0001-5358-5928"},"institutions":[{"id":"https://openalex.org/I138549579","display_name":"Scuola Internazionale Superiore di Studi Avanzati","ror":"https://ror.org/004fze387","country_code":"IT","type":"education","lineage":["https://openalex.org/I138549579"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Khazhgali Kozhasov","raw_affiliation_strings":["SISSA, Trieste, Italy","SISSA, Trieste, (Italy)"],"affiliations":[{"raw_affiliation_string":"SISSA, Trieste, Italy","institution_ids":["https://openalex.org/I138549579"]},{"raw_affiliation_string":"SISSA, Trieste, (Italy)","institution_ids":["https://openalex.org/I138549579"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005178662","display_name":"Antonio Lerario","orcid":"https://orcid.org/0000-0002-5986-1353"},"institutions":[{"id":"https://openalex.org/I138549579","display_name":"Scuola Internazionale Superiore di Studi Avanzati","ror":"https://ror.org/004fze387","country_code":"IT","type":"education","lineage":["https://openalex.org/I138549579"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Antonio Lerario","raw_affiliation_strings":["SISSA, Trieste, Italy","SISSA, Trieste, (Italy)"],"affiliations":[{"raw_affiliation_string":"SISSA, Trieste, Italy","institution_ids":["https://openalex.org/I138549579"]},{"raw_affiliation_string":"SISSA, Trieste, (Italy)","institution_ids":["https://openalex.org/I138549579"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5053482747"],"corresponding_institution_ids":["https://openalex.org/I138549579"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.3323,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.46499006,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"63","issue":"1","first_page":"229","last_page":"254"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11830","display_name":"Point processes and geometric inequalities","score":0.9990000128746033,"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":0.9990000128746033,"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":0.9958000183105469,"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/T12351","display_name":"Geometry and complex manifolds","score":0.9911999702453613,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6795740127563477},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.637111485004425},{"id":"https://openalex.org/keywords/general-position","display_name":"General position","score":0.6143994331359863},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.5759206414222717},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5409951210021973},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47145065665245056},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.43658193945884705},{"id":"https://openalex.org/keywords/tangent-space","display_name":"Tangent space","score":0.43202853202819824},{"id":"https://openalex.org/keywords/tangent","display_name":"Tangent","score":0.4213820695877075},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.39673423767089844},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.3026384115219116},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.11241728067398071}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6795740127563477},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.637111485004425},{"id":"https://openalex.org/C150397156","wikidata":"https://www.wikidata.org/wiki/Q591310","display_name":"General position","level":2,"score":0.6143994331359863},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.5759206414222717},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5409951210021973},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47145065665245056},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.43658193945884705},{"id":"https://openalex.org/C157157409","wikidata":"https://www.wikidata.org/wiki/Q909601","display_name":"Tangent space","level":2,"score":0.43202853202819824},{"id":"https://openalex.org/C138187205","wikidata":"https://www.wikidata.org/wiki/Q131251","display_name":"Tangent","level":2,"score":0.4213820695877075},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.39673423767089844},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3026384115219116},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11241728067398071},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00454-019-00067-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-019-00067-0","pdf_url":null,"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"},{"id":"pmh:oai:arXiv.org:1702.06518","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1702.06518","pdf_url":"https://arxiv.org/pdf/1702.06518","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:2599553067","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1702.06518","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1702.06518","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1702.06518","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1702.06518","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1702.06518","pdf_url":"https://arxiv.org/pdf/1702.06518","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.4399999976158142,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1028062054","https://openalex.org/W1718023260","https://openalex.org/W1980261256","https://openalex.org/W2015837655","https://openalex.org/W2062461628","https://openalex.org/W2136557947","https://openalex.org/W2138620492","https://openalex.org/W2572219509","https://openalex.org/W2580722032","https://openalex.org/W2592405575","https://openalex.org/W2594233670","https://openalex.org/W2764399096","https://openalex.org/W2963558003","https://openalex.org/W4206190532","https://openalex.org/W6603562897"],"related_works":["https://openalex.org/W2964295908","https://openalex.org/W2963558003","https://openalex.org/W1676793118","https://openalex.org/W2978078294","https://openalex.org/W2949393036","https://openalex.org/W2888009571","https://openalex.org/W2079285442","https://openalex.org/W3653823","https://openalex.org/W2306404966","https://openalex.org/W2321465376","https://openalex.org/W2964068385","https://openalex.org/W2886326260","https://openalex.org/W3033067952","https://openalex.org/W1976440443","https://openalex.org/W2167025208","https://openalex.org/W2963932763","https://openalex.org/W146189958","https://openalex.org/W2377863955","https://openalex.org/W1971939063","https://openalex.org/W2600350570"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}