{"id":"https://openalex.org/W4388420597","doi":"https://doi.org/10.1137/22m1531361","title":"Determinantal Coulomb Gas Ensembles with a Class of Discrete Rotational Symmetric Potentials","display_name":"Determinantal Coulomb Gas Ensembles with a Class of Discrete Rotational Symmetric Potentials","publication_year":2023,"publication_date":"2023-11-06","ids":{"openalex":"https://openalex.org/W4388420597","doi":"https://doi.org/10.1137/22m1531361"},"language":"en","primary_location":{"id":"doi:10.1137/22m1531361","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1531361","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/A5079281559","display_name":"Sung\u2010Soo Byun","orcid":"https://orcid.org/0000-0002-2405-2089"},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Sung-Soo Byun","raw_affiliation_strings":["Department of Mathematical Sciences, Seoul National University, Seoul, 151-747, Republic of Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Seoul National University, Seoul, 151-747, Republic of Korea","institution_ids":["https://openalex.org/I139264467"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055428107","display_name":"Meng Yang","orcid":"https://orcid.org/0000-0001-6112-5091"},"institutions":[{"id":"https://openalex.org/I4396570619","display_name":"Great Bay University","ror":"https://ror.org/01hdgge16","country_code":null,"type":"education","lineage":["https://openalex.org/I4396570619"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Meng Yang","raw_affiliation_strings":["Department of Mathematics, School of Sciences, Great Bay University, Dongguan, Guangdong, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, School of Sciences, Great Bay University, Dongguan, Guangdong, China","institution_ids":["https://openalex.org/I4396570619"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5079281559"],"corresponding_institution_ids":["https://openalex.org/I139264467"],"apc_list":null,"apc_paid":null,"fwci":3.687,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.94400291,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"55","issue":"6","first_page":"6867","last_page":"6897"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":1.0,"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"}},{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter 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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9983000159263611,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.674458920955658},{"id":"https://openalex.org/keywords/random-matrix","display_name":"Random matrix","score":0.6339271664619446},{"id":"https://openalex.org/keywords/coulomb","display_name":"Coulomb","score":0.5807421803474426},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.5645231008529663},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.5148767232894897},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4674934446811676},{"id":"https://openalex.org/keywords/uniqueness","display_name":"Uniqueness","score":0.42223870754241943},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.3833215832710266},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.3517439365386963},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3015894293785095},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.22563716769218445},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19856256246566772}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.674458920955658},{"id":"https://openalex.org/C64812099","wikidata":"https://www.wikidata.org/wiki/Q176604","display_name":"Random matrix","level":3,"score":0.6339271664619446},{"id":"https://openalex.org/C9342510","wikidata":"https://www.wikidata.org/wiki/Q25406","display_name":"Coulomb","level":3,"score":0.5807421803474426},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.5645231008529663},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.5148767232894897},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4674934446811676},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.42223870754241943},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.3833215832710266},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3517439365386963},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3015894293785095},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.22563716769218445},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19856256246566772},{"id":"https://openalex.org/C147120987","wikidata":"https://www.wikidata.org/wiki/Q2225","display_name":"Electron","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/22m1531361","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1531361","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/G5913984989","display_name":null,"funder_award_id":"SSTF-BA1401-51","funder_id":"https://openalex.org/F4320328437","funder_display_name":"Samsung Science and Technology Foundation"},{"id":"https://openalex.org/G7706173318","display_name":null,"funder_award_id":"29369","funder_id":"https://openalex.org/F4320310490","funder_display_name":"Villum Fonden"},{"id":"https://openalex.org/G7848157103","display_name":null,"funder_award_id":"SP083201","funder_id":"https://openalex.org/F5450473328","funder_display_name":"Korea Institute for Advanced Study"},{"id":"https://openalex.org/G8828000396","display_name":null,"funder_award_id":"NNF20OC0064428","funder_id":"https://openalex.org/F4320325957","funder_display_name":"Novo Nordisk Fonden"},{"id":"https://openalex.org/G981443286","display_name":null,"funder_award_id":"NRF-2019R1A5A1028324","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"}],"funders":[{"id":"https://openalex.org/F4320310490","display_name":"Villum Fonden","ror":"https://ror.org/007ww2d15"},{"id":"https://openalex.org/F4320315859","display_name":"POSCO TJ Park Foundation","ror":"https://ror.org/0375ste74"},{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"},{"id":"https://openalex.org/F4320325957","display_name":"Novo Nordisk Fonden","ror":"https://ror.org/04txyc737"},{"id":"https://openalex.org/F4320328437","display_name":"Samsung Science and Technology Foundation","ror":null},{"id":"https://openalex.org/F5450473328","display_name":"Korea Institute for Advanced Study","ror":"https://ror.org/041hz9568"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W239831600","https://openalex.org/W653764947","https://openalex.org/W1727104724","https://openalex.org/W1777675546","https://openalex.org/W1975558060","https://openalex.org/W1978864992","https://openalex.org/W1981257234","https://openalex.org/W2006730257","https://openalex.org/W2032948607","https://openalex.org/W2038634038","https://openalex.org/W2044069631","https://openalex.org/W2071588920","https://openalex.org/W2078946133","https://openalex.org/W2093691150","https://openalex.org/W2094768273","https://openalex.org/W2102591969","https://openalex.org/W2461866526","https://openalex.org/W2527794494","https://openalex.org/W2766749190","https://openalex.org/W2781849824","https://openalex.org/W2798277711","https://openalex.org/W2799228354","https://openalex.org/W2954686215","https://openalex.org/W2962720530","https://openalex.org/W2964143667","https://openalex.org/W2979933847","https://openalex.org/W3017000404","https://openalex.org/W3046515490","https://openalex.org/W3083195046","https://openalex.org/W3097201983","https://openalex.org/W3099826041","https://openalex.org/W3102303334","https://openalex.org/W3103595745","https://openalex.org/W3104129809","https://openalex.org/W3105744614","https://openalex.org/W3120109909","https://openalex.org/W3153196939","https://openalex.org/W3189040172","https://openalex.org/W3198210311","https://openalex.org/W4281674100","https://openalex.org/W4308989323","https://openalex.org/W4309595412","https://openalex.org/W4319437824","https://openalex.org/W4381683003"],"related_works":["https://openalex.org/W571281153","https://openalex.org/W2949403936","https://openalex.org/W4301247218","https://openalex.org/W3023806604","https://openalex.org/W2952139525","https://openalex.org/W2129818458","https://openalex.org/W2934566931","https://openalex.org/W4288376261","https://openalex.org/W2027924279","https://openalex.org/W4300858755"],"abstract_inverted_index":{".We":[0],"consider":[1],"determinantal":[2],"Coulomb":[3,133],"gas":[4,134],"ensembles":[5],"with":[6,95],"a":[7,25,90],"class":[8,92],"of":[9,17,24,36,68,93,118],"discrete":[10],"rotational":[11],"symmetric":[12],"potentials":[13,94],"whose":[14],"droplets":[15],"consist":[16],"several":[18],"disconnected":[19],"components.":[20],"Under":[21],"the":[22,29,33,37,42,48,63,66,69,72,79,99,103,109,115,119,129],"insertion":[23],"point":[26],"charge":[27],"at":[28,41],"origin,":[30],"we":[31,51,101],"derive":[32,114],"asymptotic":[34,116],"behavior":[35],"correlation":[38],"kernels":[39],"both":[40],"macro-":[43],"and":[44,87,124],"microscopic":[45,73],"scales.":[46],"At":[47,71],"macroscopic":[49],"scale,":[50,74],"use":[52,102],"these":[53],"results":[54],"to":[55,78,113,128],"show":[56],"that":[57],"there":[58],"are":[59],"strong":[60],"correlations":[61],"among":[62],"particles":[64],"on":[65,108],"boundary":[67],"droplets.":[70,97],"this":[75],"gives":[76],"rise":[77],"universal":[80],"edge":[81],"scaling":[82],"limit":[83],"established":[84],"by":[85],"Hedenmalm":[86],"Wennman":[88],"for":[89],"general":[91],"connected":[96],"For":[98],"proofs,":[100],"nonlinear":[104],"steepest":[105],"descent":[106],"method":[107],"matrix":[110],"Riemann\u2013Hilbert":[111],"problem":[112],"behaviors":[117],"associated":[120],"planar":[121],"orthogonal":[122],"polynomials":[123],"their":[125],"norms":[126],"up":[127],"first":[130],"subleading":[131],"terms.Keywordsdeterminantal":[132],"ensemblesedge":[135],"universalitylemniscate":[136],"archipelagogeneralized":[137],"Christoffel\u2013Darboux":[138],"formulaorthogonal":[139],"polynomialparabolic":[140],"cylinder":[141],"functionMSC":[142],"codes60B2042C0534M5082B21":[143]},"counts_by_year":[{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
