{"id":"https://openalex.org/W4416434693","doi":"https://doi.org/10.1063/5.0351290","title":"Large deviations of spectral determinants of matrix-valued random Schr\u00f6dinger operators and Dyson Brownian motion in cubic potentials","display_name":"Large deviations of spectral determinants of matrix-valued random Schr\u00f6dinger operators and Dyson Brownian motion in cubic potentials","publication_year":2026,"publication_date":"2026-10-01","ids":{"openalex":"https://openalex.org/W4416434693","doi":"https://doi.org/10.1063/5.0351290"},"language":"en","primary_location":{"id":"doi:10.1063/5.0351290","doi":"https://doi.org/10.1063/5.0351290","is_oa":true,"landing_page_url":"https://doi.org/10.1063/5.0351290","pdf_url":"https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0351290/21160948/103301_1_5.0351290.pdf","source":{"id":"https://openalex.org/S158241587","display_name":"Journal of Mathematical Physics","issn_l":"0022-2488","issn":["0022-2488","1089-7658","1527-2427"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Physics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0351290/21160948/103301_1_5.0351290.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011588658","display_name":"Yan V. Fyodorov","orcid":"https://orcid.org/0000-0002-4091-892X","observed_orcids":["https://orcid.org/0000-0002-4091-892X"]},"institutions":[{"id":"https://openalex.org/I183935753","display_name":"King's College London","ror":"https://ror.org/0220mzb33","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I183935753"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Yan V. Fyodorov","raw_affiliation_strings":["Department of Mathematics, King\u2019s College London 1 , Strand, London WC2R 2LS,"],"raw_orcid":"https://orcid.org/0000-0002-4091-892X","affiliations":[{"raw_affiliation_string":"Department of Mathematics, King\u2019s College London 1 , Strand, London WC2R 2LS,","institution_ids":["https://openalex.org/I183935753"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113644148","display_name":"Pierre Le Doussal","orcid":"https://orcid.org/0000-0001-6052-1922","observed_orcids":["https://orcid.org/0000-0001-6052-1922"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I2746051580","display_name":"Universit\u00e9 Paris Sciences et Lettres","ror":"https://ror.org/013cjyk83","country_code":"FR","type":"education","lineage":["https://openalex.org/I2746051580"]},{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"other","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]},{"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/I4210129651","display_name":"Laboratoire de Physique de l'Ecole Normale Sup\u00e9rieure","ror":"https://ror.org/03a26mh11","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I2746051580","https://openalex.org/I2800004676","https://openalex.org/I29607241","https://openalex.org/I39804081","https://openalex.org/I4210129651"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Pierre Le Doussal","raw_affiliation_strings":["Laboratoire de Physique de l\u2019\u00c9cole Normale Sup\u00e9rieure, CNRS, ENS and Universit\u00e9 PSL, Sorbonne Universit\u00e9, Universit\u00e9 Paris Cit\u00e9 2 , 75005 Paris,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire de Physique de l\u2019\u00c9cole Normale Sup\u00e9rieure, CNRS, ENS and Universit\u00e9 PSL, Sorbonne Universit\u00e9, Universit\u00e9 Paris Cit\u00e9 2 , 75005 Paris,","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I2746051580","https://openalex.org/I29607241","https://openalex.org/I39804081","https://openalex.org/I4210129651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009249416","display_name":"Alexander Ossipov","orcid":"https://orcid.org/0000-0003-1831-3139","observed_orcids":["https://orcid.org/0000-0003-1831-3139"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alexander Ossipov","raw_affiliation_strings":["Waymo 3 , 40 Bernard Street, London WC1N 1LE,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Waymo 3 , 40 Bernard Street, London WC1N 1LE,","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5011588658","https://openalex.org/A5113644148"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I183935753","https://openalex.org/I204730241","https://openalex.org/I2746051580","https://openalex.org/I29607241","https://openalex.org/I39804081","https://openalex.org/I4210129651"],"apc_list":null,"apc_paid":null,"fwci":1.8277,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.79292841,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"67","issue":"10","first_page":"103301","last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.6323000192642212,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.6323000192642212,"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/T11716","display_name":"Random Matrices and Applications","score":0.35109999775886536,"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":0.0052999998442828655,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/large-deviations","display_name":"large deviations","score":0.9089999794960022},{"id":"https://openalex.org/keywords/spectral-determinant","display_name":"spectral determinant","score":0.890999972820282},{"id":"https://openalex.org/keywords/dyson-brownian-motion","display_name":"Dyson Brownian motion","score":0.972000002861023},{"id":"https://openalex.org/keywords/cubic-potential","display_name":"cubic potential","score":0.9120000004768372},{"id":"https://openalex.org/keywords/rate-function","display_name":"rate function","score":0.699999988079071},{"id":"https://openalex.org/keywords/saddlepoint-approximation","display_name":"saddlepoint approximation","score":0.7670000195503235},{"id":"https://openalex.org/keywords/lyapunov-exponents","display_name":"Lyapunov exponents","score":0.9190000295639038},{"id":"https://openalex.org/keywords/density-of-states","display_name":"density of states","score":0.6840000152587891}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6852999925613403},{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.6506999731063843},{"id":"https://openalex.org/C75438885","wikidata":"https://www.wikidata.org/wiki/Q3403615","display_name":"Large deviations theory","level":2,"score":0.6039000153541565},{"id":"https://openalex.org/C64812099","wikidata":"https://www.wikidata.org/wiki/Q176604","display_name":"Random matrix","level":3,"score":0.593999981880188},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5360999703407288},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5180000066757202},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5099999904632568},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.38269999623298645},{"id":"https://openalex.org/C35958075","wikidata":"https://www.wikidata.org/wiki/Q1425077","display_name":"Spectral theorem","level":3,"score":0.37439998984336853},{"id":"https://openalex.org/C2778114796","wikidata":"https://www.wikidata.org/wiki/Q7575194","display_name":"Spectral gap","level":2,"score":0.34369999170303345},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.32679998874664307},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.32580000162124634},{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.31049999594688416},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.30820000171661377},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.2962999939918518},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.2912999987602234},{"id":"https://openalex.org/C2777577648","wikidata":"https://www.wikidata.org/wiki/Q584537","display_name":"Langevin equation","level":2,"score":0.2831999957561493},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.27160000801086426},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.26969999074935913},{"id":"https://openalex.org/C180188523","wikidata":"https://www.wikidata.org/wiki/Q574576","display_name":"Exponential decay","level":2,"score":0.266400009393692},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2639999985694885},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.26019999384880066},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.25270000100135803},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.2502000033855438}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1063/5.0351290","doi":"https://doi.org/10.1063/5.0351290","is_oa":true,"landing_page_url":"https://doi.org/10.1063/5.0351290","pdf_url":"https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0351290/21160948/103301_1_5.0351290.pdf","source":{"id":"https://openalex.org/S158241587","display_name":"Journal of Mathematical Physics","issn_l":"0022-2488","issn":["0022-2488","1089-7658","1527-2427"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Physics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2511.00954","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2511.00954","pdf_url":"https://arxiv.org/pdf/2511.00954","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":"pmh:oai:kclpure.kcl.ac.uk:openaire/44d6c873-3be2-4ded-99ea-ded84b669be5","doi":null,"is_oa":true,"landing_page_url":"https://kclpure.kcl.ac.uk/portal/en/publications/44d6c873-3be2-4ded-99ea-ded84b669be5","pdf_url":"https://kclpure.kcl.ac.uk/ws/files/389746387/MomentsDetSub_JMathPhys_amended.pdf","source":{"id":"https://openalex.org/S4306400216","display_name":"Research Portal (King's College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I183935753","host_organization_name":"King's College London","host_organization_lineage":["https://openalex.org/I183935753"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Fyodorov, Y, Le Doussal, P & Ossipov, A 2026, 'Large deviations of spectral determinants of matrix-valued random Schr\\\"{o}dinger operators and Dyson Brownian motion in cubic potentials', Journal of Mathematical Physics.","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:HAL:hal-05825130v1","doi":null,"is_oa":true,"landing_page_url":"https://hal.science/hal-05825130","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Mathematical Physics, 2026, 67 (10), pp.103301. ⟨10.1063/5.0351290⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.2511.00954","doi":"https://doi.org/10.48550/arxiv.2511.00954","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2511.00954","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":"doi:10.1063/5.0351290","doi":"https://doi.org/10.1063/5.0351290","is_oa":true,"landing_page_url":"https://doi.org/10.1063/5.0351290","pdf_url":"https://pubs.aip.org/aip/jmp/article-pdf/doi/10.1063/5.0351290/21160948/103301_1_5.0351290.pdf","source":{"id":"https://openalex.org/S158241587","display_name":"Journal of Mathematical Physics","issn_l":"0022-2488","issn":["0022-2488","1089-7658","1527-2427"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320257","host_organization_name":"American Institute of Physics","host_organization_lineage":["https://openalex.org/P4310320257"],"host_organization_lineage_names":["American Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematical Physics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G344983946","display_name":"Random matrices and trapped fermions","funder_award_id":"ANR-17-CE30-0027","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G3469403968","display_name":"Random Hessians and Jacobians: theory and applications","funder_award_id":"EP/V002473/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G7231303525","display_name":null,"funder_award_id":"ANR-17-CE30-0027-01 RaMaTraF","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8967984592","display_name":"Non-Hermitian random matrices: theory and applications","funder_award_id":"UKRI1015","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G9000922276","display_name":null,"funder_award_id":"UKRI1015","funder_id":"https://openalex.org/F4320314731","funder_display_name":"UK Research and Innovation"},{"id":"https://openalex.org/G9000922686","display_name":null,"funder_award_id":"EP/V002473/1","funder_id":"https://openalex.org/F4320314731","funder_display_name":"UK Research and Innovation"}],"funders":[{"id":"https://openalex.org/F4320314731","display_name":"UK Research and Innovation","ror":"https://ror.org/001aqnf71"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320323389","display_name":"Universit\u00e4t Bielefeld","ror":"https://ror.org/02hpadn98"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4416434693.pdf","grobid_xml":"https://content.openalex.org/works/W4416434693.grobid-xml"},"referenced_works_count":71,"referenced_works":["https://openalex.org/W1519287373","https://openalex.org/W1862262791","https://openalex.org/W1862662845","https://openalex.org/W1873500983","https://openalex.org/W1965696457","https://openalex.org/W1970444933","https://openalex.org/W1981868363","https://openalex.org/W1986417812","https://openalex.org/W1992462316","https://openalex.org/W1998109885","https://openalex.org/W1999665906","https://openalex.org/W2014372326","https://openalex.org/W2018340063","https://openalex.org/W2019120894","https://openalex.org/W2023557359","https://openalex.org/W2025251576","https://openalex.org/W2031054802","https://openalex.org/W2032948607","https://openalex.org/W2039164280","https://openalex.org/W2044699574","https://openalex.org/W2045572637","https://openalex.org/W2052076819","https://openalex.org/W2054302975","https://openalex.org/W2080066909","https://openalex.org/W2081106602","https://openalex.org/W2092583264","https://openalex.org/W2095192094","https://openalex.org/W2095393613","https://openalex.org/W2104851764","https://openalex.org/W2107555930","https://openalex.org/W2141734032","https://openalex.org/W2144725193","https://openalex.org/W2160961234","https://openalex.org/W2246388418","https://openalex.org/W2288613903","https://openalex.org/W2322287583","https://openalex.org/W2471430531","https://openalex.org/W2607427903","https://openalex.org/W2611520804","https://openalex.org/W2724512417","https://openalex.org/W2725355617","https://openalex.org/W2808574333","https://openalex.org/W2885630659","https://openalex.org/W2915498087","https://openalex.org/W2922110001","https://openalex.org/W2969786990","https://openalex.org/W2972495296","https://openalex.org/W2991298922","https://openalex.org/W2999272200","https://openalex.org/W3031485000","https://openalex.org/W3046263763","https://openalex.org/W3161311214","https://openalex.org/W3162935280","https://openalex.org/W3174470762","https://openalex.org/W3176404070","https://openalex.org/W3198925828","https://openalex.org/W4281629647","https://openalex.org/W4380288339","https://openalex.org/W4385519465","https://openalex.org/W4401202084","https://openalex.org/W4402526985","https://openalex.org/W4404311004","https://openalex.org/W4404342408","https://openalex.org/W4405173267","https://openalex.org/W4406405867","https://openalex.org/W4408592147","https://openalex.org/W4415994723","https://openalex.org/W4416374053","https://openalex.org/W4417083328","https://openalex.org/W7075994185","https://openalex.org/W7150916931"],"related_works":["https://openalex.org/W3162935280","https://openalex.org/W2169175911","https://openalex.org/W2378010563","https://openalex.org/W7097631943","https://openalex.org/W1670127145","https://openalex.org/W2980421065","https://openalex.org/W2058092920","https://openalex.org/W2963494267","https://openalex.org/W2052076819","https://openalex.org/W2079824381"],"abstract_inverted_index":{"We":[0,154],"study":[1],"the":[2,7,11,43,53,62,96,99,113,156,165,169,175,192,205],"moments":[3],"of":[4,10,42,70,98,117,168,172,204,208],"|det(H\u2212E)|q\u0304":[5],"and":[6,25,31,57,90,127,150,187],"large":[8,29,161,184],"deviations":[9],"corresponding":[12],"reduced":[13],"intensive":[14],"log":[15],"spectral":[16,110,176],"determinant":[17],"e":[18],"for":[19,61,211],"random":[20,71,87],"matrix":[21,105],"operators":[22],"with":[23],"Laplacian":[24],"random-potential":[26],"terms.":[27],"For":[28,194],"N":[30,83,85,100,138,218],"real":[32],"q":[33,195],">":[34],"\u22121,":[35],"we":[36,198],"obtain":[37,200],"a":[38,123,144,148,151,212],"closed":[39],"saddle-point":[40],"characterization":[41],"exponential":[44,166],"growth":[45],"rates":[46],"\u03a3q":[47],"in":[48,122,217],"arbitrary":[49],"dimension.":[50],"This":[51],"yields":[52],"large-deviation":[54],"form":[55],"P(e)\u223cexp{\u2212NLd\u03a6(e)}":[56],"an":[58,201],"explicit":[59],"expression":[60],"rate":[63],"function":[64],"\u03a6(e).":[65],"The":[66,178],"framework":[67],"includes":[68],"Hessians":[69],"elastic":[72,214],"manifolds":[73],"at":[74,137,160,183],"generic":[75],"energy":[76,186],"configurations.":[77],"In":[78],"one":[79],"dimension,":[80],"these":[81],"become":[82],"\u00d7":[84],"matrix-valued":[86],"Schr\u00f6dinger":[88],"operators,":[89],"log|":[91],"det(H":[92],"\u2212":[93],"E)|":[94],"is":[95],"sum":[97],"Lyapunov":[101],"exponents.":[102],"A":[103],"stochastic":[104],"Riccati":[106],"mapping":[107],"relates":[108],"their":[109],"properties":[111],"to":[112],"total":[114,206],"N-particle":[115],"current":[116],"Dyson":[118],"Brownian":[119],"motion":[120],"(DBM)":[121],"cubic":[124],"potential.":[125],"Allez":[126],"Dumaz":[128],"[J.":[129],"Stat.":[130],"Phys.":[131],"160(3),":[132],"681\u2013714":[133],"(2015)]":[134],"showed":[135],"that":[136],"=":[139,196],"\u221e":[140],"this":[141],"model":[142],"has":[143],"sharp":[145],"transition":[146],"between":[147],"current-carrying":[149],"confined":[152],"phase.":[153],"compute":[155],"DBM":[157],"barrier-crossing":[158],"probability":[159],"finite":[162],"N,":[163],"yielding":[164],"tail":[167],"mean":[170],"density":[171],"states":[173],"below":[174],"edge.":[177,193],"barrier":[179],"scales":[180],"as":[181,189],"\u223cN(\u2212E)3/2":[182],"negative":[185],"vanishes":[188],"\u223cN(E*\u2212E)5/4":[190],"near":[191],"1":[197],"also":[199],"independent":[202],"derivation":[203],"complexity":[207],"stationary":[209],"points":[210],"disordered":[213],"string":[215],"embedded":[216],"dimensions.":[219]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2025-11-06T00:00:00"}