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SemicirclelawonshortscalesanddelocalizationforWignerrandommatricesLas SemicirclelawonshortscalesanddelocalizationforWignerrandommatricesLas

SemicirclelawonshortscalesanddelocalizationforWignerrandommatricesLas - PDF document

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SemicirclelawonshortscalesanddelocalizationforWignerrandommatricesLas - PPT Presentation

WIGNERENSEMBLEHhjkisahermitianNNmatrixN1hjk1pNxjkiyjkjkhjjs2NxjjwherexjkyjkjkandxjjareindependentwithdistributionsxjkyjkdegxdxNormalizationExjk0Ex2jk12Examplegxx2i ID: 425625

WIGNERENSEMBLEH=(hjk)isahermitianNNmatrix N1.hjk=1pN(xjk+iyjk);(jk);hjj=s2Nxjjwherexjk;yjk(jk)andxjjareindependentwithdistributionsxjk;yjkd:=eg(x)dx;Normalization:Exjk=0 Ex2jk=12.Example:g(x)=x2i

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