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Showing 1 to 3 of 3 for “"unitary ensemble"”.
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Moderate, large, and superlarge Deviations for extremal Eigenvalues of unitarily invariant Ensembles
… of the largest eigenvalue of the Gaussian Unitary Ensemble converges (after appropriate rescaling) to the Tracy-Widom distribution if the matrix dimension N tends to infinity. The interest in this distribution rose even more when it turned out that it appears not only in the description of …
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On Gaussian Multiplicative Chaos
… matrices sampled from the one-cut-regular unitary ensemble, the absolute powers of the characteristic polynomial, when suitably normalised, converge in distribution to multiplicative chaos on the support of the limiting spectral distribution as the size of the matrix goes to infinity, and …
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Characteristic polynomials of random matrices and their role in an effective theory of strong interactions
… of the field theory lead to random matrix ensembles named chiral Gaussian Unitary Ensemble (chGUE(N)) and extensions thereof. The random matrix ensembles are comparable to the effective theory of QCD in a low-energy regime, where chiral symmetry breaking is predominant and it suffices to …