Some work on random matrix theory and random graphs.
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wigner.py: shows the convergence of large random matrices eigenvalues distribution to Wigner semi-circle law : also an histogram of spacings between eigenvalues of 2x2 matrices (Wigner surmise) -
wishart.py: shows the convergence of dispersion matrices eigenvalues to the Marcenko-Pastur distribution. -
random-graphs.py: Random graph models (Erdös-Renyi, Watts-Strogatz, Barabasi-Albert, k-regular). -
spike.py: Marcenko-Pastur histograms and bulk/outlier eigenvalues for some dimensions (spike model). -
kesten-mckay.py: Spectrum of$k$ -regular graphs, convergence of Kesten-McKay statistics to Wigner, Alon-Boppan bound for$\lambda_2$ .