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math.PR2022★ 3 cited
Fluctuations of eigenvector overlaps and the Berry conjecture for Wigner matrices
Lucas Benigni, Giorgio Cipolloni
We prove that any finite collection of quadratic forms (overlaps) of general deterministic matrices and eigenvectors of an Wigner matrix has joint Gaussian fluctuations…
math.PR2022★ 1 cited
Largest Eigenvalues of the Conjugate Kernel of Single-Layered Neural Networks
Lucas Benigni, Sandrine Péché
This paper is concerned with the asymptotic distribution of the largest eigenvalues for some nonlinear random matrix ensemble stemming from the study of neural networks. More preci…