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math.PR2017★ 28 cited
Eigenvectors distribution and quantum unique ergodicity for deformed Wigner matrices
Lucas Benigni
We analyze the distribution of eigenvectors for mesoscopic, mean-field perturbations of diagonal matrices in the bulk of the spectrum. Our results apply to a generalized $N\times N…
math.PR2017★ 8 cited
Hausdorff Dimension of the Record Set of a Fractional Brownian Motion
Lucas Benigni, Clément Cosco, Assaf Shapira +1
We prove that the Hausdorff dimension of the record set of a fractional Brownian motion with Hurst parameter equals .