{"id":"https://openalex.org/W4410528197","doi":"https://doi.org/10.1137/24m1638136","title":"Quadratically Regularized Optimal Transport: Existence and Multiplicity of Potentials","display_name":"Quadratically Regularized Optimal Transport: Existence and Multiplicity of Potentials","publication_year":2025,"publication_date":"2025-05-20","ids":{"openalex":"https://openalex.org/W4410528197","doi":"https://doi.org/10.1137/24m1638136"},"language":"en","primary_location":{"id":"doi:10.1137/24m1638136","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1638136","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":null,"license_id":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048884547","display_name":"Marcel Nutz","orcid":"https://orcid.org/0000-0003-2936-2315"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Marcel Nutz","raw_affiliation_strings":["Departments of Statistics and Mathematics, Columbia University, New York, NY 10027 USA"],"raw_orcid":"https://orcid.org/0000-0003-2936-2315","affiliations":[{"raw_affiliation_string":"Departments of Statistics and Mathematics, Columbia University, New York, NY 10027 USA","institution_ids":["https://openalex.org/I78577930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5048884547"],"corresponding_institution_ids":["https://openalex.org/I78577930"],"apc_list":null,"apc_paid":null,"fwci":11.3793,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.9851778,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"57","issue":"3","first_page":"2622","last_page":"2649"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9962999820709229,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9962999820709229,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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":0.9943000078201294,"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/mathematics","display_name":"Mathematics","score":0.8413181900978088},{"id":"https://openalex.org/keywords/quadratic-growth","display_name":"Quadratic growth","score":0.8405550718307495},{"id":"https://openalex.org/keywords/multiplicity","display_name":"Multiplicity (mathematics)","score":0.6800248622894287},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5827844142913818},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39411282539367676}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8413181900978088},{"id":"https://openalex.org/C195956108","wikidata":"https://www.wikidata.org/wiki/Q7268362","display_name":"Quadratic growth","level":2,"score":0.8405550718307495},{"id":"https://openalex.org/C156004811","wikidata":"https://www.wikidata.org/wiki/Q2228257","display_name":"Multiplicity (mathematics)","level":2,"score":0.6800248622894287},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5827844142913818},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39411282539367676}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/24m1638136","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1638136","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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G270538545","display_name":null,"funder_award_id":"DMS-2407074","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4852148513","display_name":null,"funder_award_id":"DMS-2106056","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G638795190","display_name":null,"funder_award_id":"DMS-1812661","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W45882642","https://openalex.org/W2010802791","https://openalex.org/W2051326392","https://openalex.org/W2131448432","https://openalex.org/W2314093348","https://openalex.org/W2328523441","https://openalex.org/W2534420330","https://openalex.org/W2559655401","https://openalex.org/W2604272474","https://openalex.org/W2962792820","https://openalex.org/W2977099832","https://openalex.org/W2990138404","https://openalex.org/W3020236566","https://openalex.org/W3124391905","https://openalex.org/W3126543049","https://openalex.org/W3127722265","https://openalex.org/W3217740066","https://openalex.org/W4206471589","https://openalex.org/W4213065535","https://openalex.org/W4233762729","https://openalex.org/W4253577938","https://openalex.org/W4281755449","https://openalex.org/W4287245321","https://openalex.org/W4312075634","https://openalex.org/W4385416937","https://openalex.org/W4403889624"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2084086280","https://openalex.org/W2027198738","https://openalex.org/W2397767885","https://openalex.org/W2062514649","https://openalex.org/W2083114070","https://openalex.org/W237421766","https://openalex.org/W3013712002","https://openalex.org/W1979597421","https://openalex.org/W2004392729"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}