{"id":"https://openalex.org/W4411435053","doi":"https://doi.org/10.1137/24m1640008","title":"The Convergence Rate of Vanishing Viscosity Approximations for Mean Field Games","display_name":"The Convergence Rate of Vanishing Viscosity Approximations for Mean Field Games","publication_year":2025,"publication_date":"2025-06-19","ids":{"openalex":"https://openalex.org/W4411435053","doi":"https://doi.org/10.1137/24m1640008"},"language":"en","primary_location":{"id":"doi:10.1137/24m1640008","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1640008","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/A5058487048","display_name":"Wenpin Tang","orcid":"https://orcid.org/0000-0001-7228-1954"},"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":"Wenpin Tang","raw_affiliation_strings":["Department of Industrial Engineering and Operations Research, Columbia University, New York, NY 10027 USA"],"raw_orcid":"https://orcid.org/0000-0001-7228-1954","affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Operations Research, Columbia University, New York, NY 10027 USA","institution_ids":["https://openalex.org/I78577930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041810986","display_name":"Yuming Paul Zhang","orcid":"https://orcid.org/0000-0002-2371-6840"},"institutions":[{"id":"https://openalex.org/I82497590","display_name":"Auburn University","ror":"https://ror.org/02v80fc35","country_code":"US","type":"education","lineage":["https://openalex.org/I82497590"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yuming Paul Zhang","raw_affiliation_strings":["Department of Mathematics and Statistics, Auburn University, Auburn, AL 36849 USA"],"raw_orcid":"https://orcid.org/0000-0002-2371-6840","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Auburn University, Auburn, AL 36849 USA","institution_ids":["https://openalex.org/I82497590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058487048"],"corresponding_institution_ids":["https://openalex.org/I78577930"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1966304,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"57","issue":"3","first_page":"3217","last_page":"3254"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9993000030517578,"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"}},{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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":0.8795005083084106},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.6083468794822693},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.597938060760498},{"id":"https://openalex.org/keywords/viscosity","display_name":"Viscosity","score":0.5836129188537598},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.5622299909591675},{"id":"https://openalex.org/keywords/approximations-of-\u03c0","display_name":"Approximations of \u03c0","score":0.5149405598640442},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.384765625},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07429865002632141},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.06710156798362732}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8795005083084106},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6083468794822693},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.597938060760498},{"id":"https://openalex.org/C127172972","wikidata":"https://www.wikidata.org/wiki/Q128709","display_name":"Viscosity","level":2,"score":0.5836129188537598},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.5622299909591675},{"id":"https://openalex.org/C193386753","wikidata":"https://www.wikidata.org/wiki/Q1130396","display_name":"Approximations of \u03c0","level":2,"score":0.5149405598640442},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.384765625},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07429865002632141},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.06710156798362732},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/24m1640008","is_oa":false,"landing_page_url":"https://doi.org/10.1137/24m1640008","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":[{"display_name":"Reduced inequalities","score":0.6399999856948853,"id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G2366616776","display_name":null,"funder_award_id":"DMS-2206038","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2763607230","display_name":null,"funder_award_id":"MPS-TSM-00007305","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"},{"id":"https://openalex.org/G5963726892","display_name":null,"funder_award_id":"DMS-2440215","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"},{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"},{"id":"https://openalex.org/F4320309111","display_name":"Columbia University","ror":"https://ror.org/00hj8s172"},{"id":"https://openalex.org/F4320309904","display_name":"Auburn University","ror":"https://ror.org/02v80fc35"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":60,"referenced_works":["https://openalex.org/W644710670","https://openalex.org/W1720106019","https://openalex.org/W1883574466","https://openalex.org/W1970717682","https://openalex.org/W1976517033","https://openalex.org/W1983321045","https://openalex.org/W1988313155","https://openalex.org/W2002767405","https://openalex.org/W2005235452","https://openalex.org/W2008462649","https://openalex.org/W2011000015","https://openalex.org/W2027438381","https://openalex.org/W2028316825","https://openalex.org/W2035299975","https://openalex.org/W2038686546","https://openalex.org/W2051781104","https://openalex.org/W2057470999","https://openalex.org/W2058670636","https://openalex.org/W2059103015","https://openalex.org/W2077098219","https://openalex.org/W2106735571","https://openalex.org/W2118653974","https://openalex.org/W2136949344","https://openalex.org/W2157153211","https://openalex.org/W2222840913","https://openalex.org/W2286590533","https://openalex.org/W2329198374","https://openalex.org/W2398740957","https://openalex.org/W2560681080","https://openalex.org/W2765867214","https://openalex.org/W2794612363","https://openalex.org/W2882987919","https://openalex.org/W2890785407","https://openalex.org/W2962755712","https://openalex.org/W2963248839","https://openalex.org/W2963868111","https://openalex.org/W2963908939","https://openalex.org/W2964013964","https://openalex.org/W2964017073","https://openalex.org/W2964286332","https://openalex.org/W3000939417","https://openalex.org/W3010829033","https://openalex.org/W3020759677","https://openalex.org/W3088624665","https://openalex.org/W3100883980","https://openalex.org/W3103465570","https://openalex.org/W3138825509","https://openalex.org/W3174403913","https://openalex.org/W3175423661","https://openalex.org/W3178011931","https://openalex.org/W3190367256","https://openalex.org/W3203531525","https://openalex.org/W3206822015","https://openalex.org/W3214509501","https://openalex.org/W4225528833","https://openalex.org/W4290975229","https://openalex.org/W4308359804","https://openalex.org/W4312680634","https://openalex.org/W4406806024","https://openalex.org/W4407251660"],"related_works":["https://openalex.org/W1517908938","https://openalex.org/W2340031096","https://openalex.org/W2281834912","https://openalex.org/W1489941249","https://openalex.org/W3123492739","https://openalex.org/W2044020357","https://openalex.org/W1963802308","https://openalex.org/W4226153041","https://openalex.org/W3214543110","https://openalex.org/W2009166380"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
