Provides uniform local laws and localization analysis for the general Rosenzweig-Porter model H = H0 + λW, generalizing previous results on deformed Wigner matrices.
Almost optimal bulk regularity conditions in the CLT for Wigner matrices
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Establishes full LDPs for the largest eigenvalue of sub-Gaussian Wigner matrices via finite-N approximation by restricted annealed free energies, identifying a transition from GOE rate function to non-universal rate at the onset of eigenvector localization.
Variance of mesoscopic linear spectral statistics for random quantum graphs coincides with GOE/GUE.
For smooth Wigner matrices the log-determinant and eigenvalue counting fields converge in law to centered Gaussian, logarithmically correlated random elements in every negative Sobolev space H^{-s}.
citing papers explorer
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On a Rosenzweig-Porter-type model
Provides uniform local laws and localization analysis for the general Rosenzweig-Porter model H = H0 + λW, generalizing previous results on deformed Wigner matrices.
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Full large deviation principles for the largest eigenvalue of sub-Gaussian Wigner matrices
Establishes full LDPs for the largest eigenvalue of sub-Gaussian Wigner matrices via finite-N approximation by restricted annealed free energies, identifying a transition from GOE rate function to non-universal rate at the onset of eigenvector localization.
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Mesoscopic Linear Statistics for Two Ensembles of Quantum Graphs
Variance of mesoscopic linear spectral statistics for random quantum graphs coincides with GOE/GUE.
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Sobolev convergence of log-determinants for smooth Wigner matrices
For smooth Wigner matrices the log-determinant and eigenvalue counting fields converge in law to centered Gaussian, logarithmically correlated random elements in every negative Sobolev space H^{-s}.