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Spectral statistics of permutation matrices

We compute the mean two-point spectral form factor and the spectral number variance for permutation matrices of large order. The two-point correlation function is expressed in terms of generalized divisor functions, which are frequently discussed in number theory. Using classical results from number...

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Autori principali: Oren, Idan, Smilansky, Uzy
Natura: Artigo
Lingua:Inglês
Pubblicazione: The Royal Society Publishing. 2014
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Accesso online:https://ncbi.nlm.nih.gov/pmc/articles/PMC3866469/
https://ncbi.nlm.nih.gov/pubmed/24344339
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1098/rsta.2012.0508
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