• On the joint eigenvalue distribution for the matrix ensembles with non zero mean

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      https://www.ias.ac.in/article/fulltext/pram/015/01/0045-0051

    • Keywords

       

      Randon matrices; new matrix ensembles

    • Abstract

       

      Exact distributions are given for the two-dimensional case when the mean of the off-diagonal element is non-zero. The joint eigenvalue distribution for theN dimensional case, derived using the volume element in the space ofN ×N orthogonal matrices, is checked by rederiving the exact results forN=2. The smooth nature of theN-dimensional joint distribution supports the claim of the method of moments that the single eigenvalue distribution is a smooth function of the ratio of mean-to-mean square deviation.

    • Author Affiliations

       

      Nazakat Ullah1

      1. Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay - 400 005, India
    • Dates

       
  • Pramana – Journal of Physics | News

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