{"id":"https://openalex.org/W7204843385","doi":"https://doi.org/10.48550/arxiv.2608.27880","title":"Precise universal edge asymptotics for planar $\u03b2=2$ Coulomb gases with radial external fields","display_name":"Precise universal edge asymptotics for planar $\u03b2=2$ Coulomb gases with radial external fields","publication_year":2026,"publication_date":"2026-08-28","ids":{"openalex":"https://openalex.org/W7204843385","doi":"https://doi.org/10.48550/arxiv.2608.27880"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.27880","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.27880","pdf_url":"https://arxiv.org/pdf/2608.27880","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2608.27880","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5148771261","display_name":"Yutao Ma","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ma, Yutao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5123118206","display_name":"Xujia Meng","orcid":"https://orcid.org/0009-0009-9965-8569","observed_orcids":["https://orcid.org/0009-0009-9965-8569"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Meng, Xujia","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9994999766349792,"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":0.9994999766349792,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":9.999999747378752e-05,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.0,"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/extremal-statistics","display_name":"extremal statistics","score":0.7549999952316284},{"id":"https://openalex.org/keywords/spectral-radius","display_name":"spectral radius","score":0.996999979019165},{"id":"https://openalex.org/keywords/berry-esseen-bounds","display_name":"Berry-Esseen bounds","score":0.9369999766349792},{"id":"https://openalex.org/keywords/gumbel-distribution","display_name":"Gumbel distribution","score":0.9890000224113464},{"id":"https://openalex.org/keywords/large-deviations","display_name":"large deviations","score":0.9070000052452087},{"id":"https://openalex.org/keywords/moderate-deviations","display_name":"moderate deviations","score":0.9950000047683716},{"id":"https://openalex.org/keywords/point-processes","display_name":"point processes","score":0.460999995470047}],"concepts":[{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.697700023651123},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6360999941825867},{"id":"https://openalex.org/C9342510","wikidata":"https://www.wikidata.org/wiki/Q25406","display_name":"Coulomb","level":3,"score":0.6121000051498413},{"id":"https://openalex.org/C137610916","wikidata":"https://www.wikidata.org/wiki/Q1096862","display_name":"Gumbel distribution","level":3,"score":0.5968999862670898},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.5216000080108643},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5138999819755554},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5120999813079834},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4607999920845032},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.37720000743865967},{"id":"https://openalex.org/C75438885","wikidata":"https://www.wikidata.org/wiki/Q3403615","display_name":"Large deviations theory","level":2,"score":0.357699990272522},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.337799996137619},{"id":"https://openalex.org/C205147927","wikidata":"https://www.wikidata.org/wiki/Q752718","display_name":"Asymptotic analysis","level":2,"score":0.31940001249313354},{"id":"https://openalex.org/C11683690","wikidata":"https://www.wikidata.org/wiki/Q752726","display_name":"Asymptotic expansion","level":2,"score":0.3005000054836273},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.27070000767707825},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.2535000145435333}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.27880","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.27880","pdf_url":"https://arxiv.org/pdf/2608.27880","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"doi:10.48550/arxiv.2608.27880","doi":"https://doi.org/10.48550/arxiv.2608.27880","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.27880","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2608.27880","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.27880","pdf_url":"https://arxiv.org/pdf/2608.27880","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G7611008738","display_name":null,"funder_award_id":"12571149","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204843385.pdf","grobid_xml":"https://content.openalex.org/works/W7204843385.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W2001504669","https://openalex.org/W2079788937","https://openalex.org/W2782804273","https://openalex.org/W3194663507","https://openalex.org/W4389115841","https://openalex.org/W4389760801","https://openalex.org/W4416400818","https://openalex.org/W4416552236","https://openalex.org/W7106700094","https://openalex.org/W7223412510"],"related_works":["https://openalex.org/W2073488922","https://openalex.org/W2963401709","https://openalex.org/W6884763995","https://openalex.org/W2765642896","https://openalex.org/W4327991967","https://openalex.org/W2782804273","https://openalex.org/W2908443982","https://openalex.org/W6947976889","https://openalex.org/W7125590443","https://openalex.org/W2952577289"],"abstract_inverted_index":{"We":[0],"investigate":[1],"the":[2,15,19,31,55,71],"extremal":[3],"statistics":[4,62],"of":[5,60],"planar":[6],"$\u03b2=2$":[7],"Coulomb":[8],"gases":[9],"with":[10,34],"radial":[11],"external":[12],"fields.":[13],"For":[14],"rightmost":[16],"eigenvalue":[17],"and":[18,57],"spectral":[20],"radius,":[21],"we":[22,49],"establish":[23],"sharp":[24,51],"Berry--Esseen":[25],"bounds":[26],"for":[27,54,70],"their":[28],"convergence":[29],"to":[30],"Gumbel":[32],"distribution,":[33],"explicit":[35],"rates":[36],"\\[":[37],"\\frac{25\\log\\log":[38],"n}{4e\\log":[39],"n}":[40],"\\quad\\text{and}\\quad":[41],"\\frac{2\\log\\log":[42],"n}{e\\log":[43],"n},":[44],"\\]":[45],"respectively.":[46],"In":[47],"addition,":[48],"derive":[50],"asymptotic":[52],"equivalences":[53],"large":[56],"moderate":[58],"deviations":[59],"both":[61],"across":[63],"all":[64],"relevant":[65],"scales.":[66],"Analogous":[67],"results":[68],"hold":[69],"smallest":[72],"modulus.":[73]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-01T00:00:00"}