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.
Uniform Hanson-Wright type concentration inequalities for un- bounded entries via the entropy method
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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.