Long-range algebraic correlations in random matrices induce a transition at H=3/4 in eigenvalue statistics from generalized t-distributions with fat tails to the semicircle law, identified via scaling analysis and simulations.
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A renormalization group scheme with running normalization collapses eigenvalue spectra of Wigner and Wishart matrices modified by power-law variance profiles, confirmed via fixed-point equations and simulations.
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Long-Range Correlated Random Matrices
Long-range algebraic correlations in random matrices induce a transition at H=3/4 in eigenvalue statistics from generalized t-distributions with fat tails to the semicircle law, identified via scaling analysis and simulations.
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Renormalization group for spectral collapse in random matrices with power-law variance profiles
A renormalization group scheme with running normalization collapses eigenvalue spectra of Wigner and Wishart matrices modified by power-law variance profiles, confirmed via fixed-point equations and simulations.