{"id":"https://openalex.org/W7223082014","doi":"https://doi.org/10.48550/arxiv.2610.27532","title":"Invariant pseudo-unitary matrix ensembles and local statistics and conductance fluctuations of the DMPK ensemble","display_name":"Invariant pseudo-unitary matrix ensembles and local statistics and conductance fluctuations of the DMPK ensemble","publication_year":2026,"publication_date":"2026-10-20","ids":{"openalex":"https://openalex.org/W7223082014","doi":"https://doi.org/10.48550/arxiv.2610.27532"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.27532","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.27532","pdf_url":"https://arxiv.org/pdf/2610.27532","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/2610.27532","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5159177062","display_name":"Dong Wang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wang, Dong","raw_affiliation_strings":["School of Mathematical Sciences , University of Chinese Academy of Sciences"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences , University of Chinese Academy of Sciences","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005556240","display_name":"Thomas Wolfs","orcid":"https://orcid.org/0000-0002-8573-5502","observed_orcids":["https://orcid.org/0000-0002-8573-5502"]},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Wolfs, Thomas","raw_affiliation_strings":["Department of Mathematics , KTH Royal Institute of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , KTH Royal Institute of Technology","institution_ids":["https://openalex.org/I86987016"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"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":0.9955999851226807,"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":0.9955999851226807,"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":0.002400000113993883,"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":0.0007999999797903001,"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/disordered-quantum-wires","display_name":"disordered quantum wires","score":0.6100000143051147},{"id":"https://openalex.org/keywords/local-statistics","display_name":"local statistics","score":0.4659999907016754},{"id":"https://openalex.org/keywords/conductance-fluctuations","display_name":"conductance fluctuations","score":0.7480000257492065},{"id":"https://openalex.org/keywords/universal-conductance-fluctuations","display_name":"universal conductance fluctuations","score":0.8019999861717224},{"id":"https://openalex.org/keywords/legendre-functions","display_name":"Legendre functions","score":0.800000011920929},{"id":"https://openalex.org/keywords/crossover-regime","display_name":"crossover regime","score":0.375},{"id":"https://openalex.org/keywords/products-of-random-matrices","display_name":"random matrix products","score":0.5600000023841858},{"id":"https://openalex.org/keywords/critical-scaling","display_name":"critical scaling","score":0.3019999861717224},{"id":"https://openalex.org/keywords/asymptotic-expansion","display_name":"asymptotic expansion","score":0.6039999723434448}],"concepts":[{"id":"https://openalex.org/C64812099","wikidata":"https://www.wikidata.org/wiki/Q176604","display_name":"Random matrix","level":3,"score":0.6287999749183655},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6064000129699707},{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.5576000213623047},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.5412999987602234},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.4925000071525574},{"id":"https://openalex.org/C201362023","wikidata":"https://www.wikidata.org/wiki/Q658574","display_name":"Hermite polynomials","level":2,"score":0.4837000072002411},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.4799000024795532},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.46639999747276306},{"id":"https://openalex.org/C121932024","wikidata":"https://www.wikidata.org/wiki/Q5159376","display_name":"Conductance","level":2,"score":0.450300008058548},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4056999981403351},{"id":"https://openalex.org/C122507166","wikidata":"https://www.wikidata.org/wiki/Q628906","display_name":"Crossover","level":2,"score":0.39660000801086426},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.38989999890327454},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.37940001487731934},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.37070000171661377},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.34940001368522644},{"id":"https://openalex.org/C11902944","wikidata":"https://www.wikidata.org/wiki/Q5121662","display_name":"Circular ensemble","level":4,"score":0.33500000834465027},{"id":"https://openalex.org/C109282560","wikidata":"https://www.wikidata.org/wiki/Q4166054","display_name":"Singular value","level":3,"score":0.33329999446868896},{"id":"https://openalex.org/C107706756","wikidata":"https://www.wikidata.org/wiki/Q219637","display_name":"Bessel function","level":2,"score":0.3285999894142151},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.32019999623298645},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.31049999594688416},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.3073999881744385},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2903999984264374},{"id":"https://openalex.org/C68532491","wikidata":"https://www.wikidata.org/wiki/Q1203669","display_name":"Renormalization group","level":2,"score":0.28299999237060547},{"id":"https://openalex.org/C68827188","wikidata":"https://www.wikidata.org/wiki/Q674533","display_name":"Inverse trigonometric functions","level":2,"score":0.27950000762939453},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.27070000767707825},{"id":"https://openalex.org/C116594300","wikidata":"https://www.wikidata.org/wiki/Q908652","display_name":"Legendre transformation","level":2,"score":0.2689000070095062},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.2687999904155731},{"id":"https://openalex.org/C21031990","wikidata":"https://www.wikidata.org/wiki/Q355020","display_name":"Probability measure","level":2,"score":0.26820001006126404},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2637999951839447},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.2572999894618988},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.2556000053882599},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.2556000053882599},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.25049999356269836}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.27532","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.27532","pdf_url":"https://arxiv.org/pdf/2610.27532","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.2610.27532","doi":"https://doi.org/10.48550/arxiv.2610.27532","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.27532","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:2610.27532","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.27532","pdf_url":"https://arxiv.org/pdf/2610.27532","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/G2821607976","display_name":null,"funder_award_id":"12271502","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8106762216","display_name":null,"funder_award_id":"118900M043","funder_id":"https://openalex.org/F4320326972","funder_display_name":"University of Chinese Academy of Sciences"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321133","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35"},{"id":"https://openalex.org/F4320322327","display_name":"Knut och Alice Wallenbergs Stiftelse","ror":"https://ror.org/004hzzk67"},{"id":"https://openalex.org/F4320326972","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7223082014.pdf","grobid_xml":"https://content.openalex.org/works/W7223082014.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W7125770632"],"related_works":["https://openalex.org/W2058478176","https://openalex.org/W2080066909","https://openalex.org/W7026842323","https://openalex.org/W2106718313","https://openalex.org/W2144623066","https://openalex.org/W3212576087","https://openalex.org/W2084989448","https://openalex.org/W2137061851","https://openalex.org/W1995638197","https://openalex.org/W2064390795"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,20,28,42,47,54,58,76,83,95,115,123,134,169,173,177,189,192,209,219,224,229,237,240,246,253,256],"DMPK":[3,170,230],"ensemble,":[4],"which":[5,101],"models":[6],"quantum":[7],"transport":[8],"in":[9,41,82,94,255],"a":[10,152,181,195,202],"disordered":[11],"wire,":[12],"and":[13,50,74,79,97,125,164,221,226],"describe":[14],"its":[15],"limiting":[16,92],"local":[17],"statistics":[18,40,45,52],"as":[19,31,33,172],"number":[21],"of":[22,117,138,142,154,176,180,183,194,198,218,223,239],"particles":[23],"tends":[24,242],"to":[25,114,167,243],"infinity.":[26],"In":[27,57],"metallic":[29,248],"regime,":[30,60],"well":[32],"at":[34,46,53,98],"crossover":[35,87],"I,":[36],"we":[37,61,89,150,213],"obtain":[38,90,214],"sine":[39],"bulk,":[43],"Bessel":[44],"hard":[48,107],"edge":[49,108,127],"Airy":[51],"soft":[55,126],"edge.":[56],"insulating":[59],"prove":[62,227],"localization":[63],"around":[64],"certain":[65],"explicit":[66,91],"deterministic":[67],"positions":[68],"with":[69,130,208],"Gaussian":[70],"fluctuations.":[71],"This":[72,250],"confirms":[73,252],"quantifies":[75],"predicted":[77],"universal":[78,233],"localized":[80],"behavior":[81],"physics":[84,257],"literature.":[85,258],"At":[86],"II,":[88],"kernels":[93,128],"bulk":[96,124],"both":[99],"edges,":[100],"interpolate":[102],"between":[103],"these":[104,148],"regimes.":[105],"The":[106],"kernel":[109],"involves":[110],"Legendre":[111,210],"functions":[112],"and,":[113],"best":[116],"our":[118],"knowledge,":[119],"is":[120,159],"new,":[121],"while":[122],"agree":[129],"those":[131],"derived":[132],"for":[133],"squared":[135],"singular":[136],"values":[137],"critically":[139],"scaled":[140],"products":[141,163],"independent":[143],"Ginibre":[144],"matrices.":[145,186],"To":[146],"explain":[147],"similarities,":[149],"construct":[151],"class":[153],"invariant":[155],"pseudo-unitary":[156],"matrices":[157],"that":[158,228],"closed":[160],"under":[161],"taking":[162],"use":[165],"it":[166],"interpret":[168],"ensemble":[171,197,231],"joint":[174],"density":[175],"spectral":[178],"variables":[179],"product":[182],"such":[184],"random":[185],"More":[187],"generally,":[188],"latter":[190],"takes":[191],"form":[193],"polynomial":[196],"derivative":[199],"type":[200],"involving":[201],"second":[203],"order":[204],"differential":[205],"operator":[206],"compatible":[207],"functions.":[211],"Finally,":[212],"uniform":[215],"asymptotic":[216],"expansions":[217],"mean":[220],"variance":[222,238],"conductance":[225,234,241],"admits":[232],"fluctuations,":[235],"i.e.":[236],"$1/15$":[244],"throughout":[245],"whole":[247],"regime.":[249],"again":[251],"predictions":[254]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-22T00:00:00"}
