{"id":"https://openalex.org/W4411920506","doi":"https://doi.org/10.1137/24m1690692","title":"Curvature Exponent of Sub-Finsler Heisenberg Groups","display_name":"Curvature Exponent of Sub-Finsler Heisenberg Groups","publication_year":2025,"publication_date":"2025-07-02","ids":{"openalex":"https://openalex.org/W4411920506","doi":"https://doi.org/10.1137/24m1690692"},"language":"en","primary_location":{"id":"doi:10.1137/24m1690692","is_oa":true,"landing_page_url":"https://doi.org/10.1137/24m1690692","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1137/24m1690692","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5022914554","display_name":"Samu\u00ebl Borza","orcid":"https://orcid.org/0000-0001-7635-1294"},"institutions":[{"id":"https://openalex.org/I129774422","display_name":"University of Vienna","ror":"https://ror.org/03prydq77","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Samu\u00ebl Borza","raw_affiliation_strings":["University of Vienna, Universit\u00e4tsring 1 1010 Vienna, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Vienna, Universit\u00e4tsring 1 1010 Vienna, Austria","institution_ids":["https://openalex.org/I129774422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080628887","display_name":"Mattia Magnabosco","orcid":"https://orcid.org/0000-0002-2109-1461"},"institutions":[{"id":"https://openalex.org/I4210120676","display_name":"Mathematical Institute of the Slovak Academy of Sciences","ror":"https://ror.org/02fhy7464","country_code":"SK","type":"facility","lineage":["https://openalex.org/I207624831","https://openalex.org/I4210120676"]}],"countries":["SK"],"is_corresponding":false,"raw_author_name":"Mattia Magnabosco","raw_affiliation_strings":["Mathematical Institute, University of Oxford, Andrew Wiles Building Radcliffe Observatory Quarter (550) Woodstock Road Oxford OX2 6GG, UK"],"raw_orcid":"https://orcid.org/0000-0002-2109-1461","affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Oxford, Andrew Wiles Building Radcliffe Observatory Quarter (550) Woodstock Road Oxford OX2 6GG, UK","institution_ids":["https://openalex.org/I4210120676"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107748041","display_name":"Tommaso Rossi","orcid":null},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210158291","display_name":"Laboratoire Jacques-Louis Lions","ror":"https://ror.org/04xmteb38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4210158291"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Tommaso Rossi","raw_affiliation_strings":["Sorbonne Universit\u00e9, Laboratoire Jacques-Louis Lions, 4, Pl. Jussieu, 75005 Paris, France"],"raw_orcid":"https://orcid.org/0009-0005-1247-5729","affiliations":[{"raw_affiliation_string":"Sorbonne Universit\u00e9, Laboratoire Jacques-Louis Lions, 4, Pl. Jussieu, 75005 Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210158291"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043124744","display_name":"Kenshiro Tashiro","orcid":"https://orcid.org/0000-0001-6374-2560"},"institutions":[{"id":"https://openalex.org/I142637625","display_name":"Okinawa Institute of Science and Technology Graduate University","ror":"https://ror.org/02qg15b79","country_code":"JP","type":"education","lineage":["https://openalex.org/I142637625"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Kenshiro Tashiro","raw_affiliation_strings":["Okinawa Institute of Science and Technology, 1919-1 Tancha, Onna-son, Kunigami-gun, 904-0495, Okinawa, Japan"],"raw_orcid":"https://orcid.org/0000-0001-6374-2560","affiliations":[{"raw_affiliation_string":"Okinawa Institute of Science and Technology, 1919-1 Tancha, Onna-son, Kunigami-gun, 904-0495, Okinawa, Japan","institution_ids":["https://openalex.org/I142637625"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.463,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.82820769,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"57","issue":"4","first_page":"3561","last_page":"3586"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":1.0,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13080","display_name":"Advanced Differential Geometry Research","score":1.0,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.9954000115394592,"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/T10095","display_name":"Cosmology and Gravitation Theories","score":0.9771999716758728,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8580588698387146},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.731842041015625},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.6860960721969604},{"id":"https://openalex.org/keywords/heisenberg-group","display_name":"Heisenberg group","score":0.6409883499145508},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.559941291809082},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.36244630813598633},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.32535913586616516},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.22446474432945251}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8580588698387146},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.731842041015625},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.6860960721969604},{"id":"https://openalex.org/C127519595","wikidata":"https://www.wikidata.org/wiki/Q1601337","display_name":"Heisenberg group","level":2,"score":0.6409883499145508},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.559941291809082},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.36244630813598633},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32535913586616516},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22446474432945251},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/24m1690692","is_oa":true,"landing_page_url":"https://doi.org/10.1137/24m1690692","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-05429282v1","is_oa":false,"landing_page_url":"https://hal.science/hal-05429282","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Mathematical Analysis, 2025, 57 (4), pp.3561-3586. ⟨10.1137/24M1690692⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1137/24m1690692","is_oa":true,"landing_page_url":"https://doi.org/10.1137/24m1690692","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1603977698","display_name":null,"funder_award_id":"NIF\\R1\\231659","funder_id":"https://openalex.org/F4320320006","funder_display_name":"Royal Society"},{"id":"https://openalex.org/G1632172810","display_name":"Geometry of metric measure spaces and pyramids","funder_award_id":"23K03104","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G2400393726","display_name":"Geometric analysis of sub-Riemannian spaces through interpolation inequalities","funder_award_id":"945655","funder_id":"https://openalex.org/F4320338335","funder_display_name":"H2020 European Research Council"},{"id":"https://openalex.org/G3813273772","display_name":"Geometry of optimal transport theory and gradient flows","funder_award_id":"19H01786","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G4139470045","display_name":"Geometry of spaces with curvature bounded above or below","funder_award_id":"18K03298","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G587004263","display_name":"Efficient quantum control of molecular rotations -- time and controllability","funder_award_id":"ANR-22-CE92-0077","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320006","display_name":"Royal Society","ror":"https://ror.org/03wnrjx87"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"},{"id":"https://openalex.org/F4320338335","display_name":"H2020 European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1968781546","https://openalex.org/W1972444430","https://openalex.org/W2006308315","https://openalex.org/W2007338883","https://openalex.org/W2045049746","https://openalex.org/W2046838141","https://openalex.org/W2082274885","https://openalex.org/W2313083214","https://openalex.org/W2884884876","https://openalex.org/W3045786417","https://openalex.org/W3094141625","https://openalex.org/W4248500611","https://openalex.org/W4249667877","https://openalex.org/W4327981257","https://openalex.org/W4364372472"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2467119940","https://openalex.org/W187158282","https://openalex.org/W2963135356","https://openalex.org/W4297817068","https://openalex.org/W1983151614","https://openalex.org/W4298848304","https://openalex.org/W299247278","https://openalex.org/W4387663351","https://openalex.org/W1607173105"],"abstract_inverted_index":{"International":[0],"audience":[1]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}