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most citedAnomalous singularity of the solution of the vector Dyson equation in the critical case

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math-ph2024

Loschmidt Echo for Deformed Wigner Matrices

László Erdős, Joscha Henheik, Oleksii Kolupaiev

We consider two Hamiltonians that are close to each other, , and analyze the time-decay of the corresponding Loschmidt echo $\mathfrak{M}(t) := |\langle ψ_0, \mat…

math.PR2024

Eigenvector decorrelation for random matrices

Giorgio Cipolloni, László Erdős, Joscha Henheik +1

We study the sensitivity of the eigenvectors of random matrices, showing that even small perturbations make the eigenvectors almost orthogonal. More precisely, we consider two defo…