Several Applications of the Moment Method in Band Random Matrix Model
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چکیده
Random matrix theory (RMT) has wide applications in various areas of science. It can be traced back to sample covariance matrices studied by J. Wishart in data analysis in 1920s1930s. In 1951, E. Wigner associated the energy levels of heavy-nuclei atoms with Hermitian matrices with i.i.d entries. To simplify the complex Hamiltonians of heavy-nuclei atoms, Wigner introduced the ensemble of real symmetric random matrices in 1950. The ensemble is now known as real Wigner matrices:
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Several Applications of the Moment Method in Band Random Matrix Model
Random matrix theory (RMT) has wide applications in various areas of science. It can be traced back to sample covariance matrices studied by J. Wishart in data analysis in 1920s1930s. In 1951, E. Wigner associated the energy levels of heavy-nuclei atoms with Hermitian matrices with i.i.d entries. To simplify the complex Hamiltonians of heavy-nuclei atoms, Wigner introduced the ensemble of real ...
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