2 citations · 3 across the 8 of their papers we have counts for
10 papers
Beyond normal fluctuations in local laws for Wigner matrices
László Erdős, Oleksii Kolupaiev
We identify non-Gaussian corrections to the central limit theorem for the global and local laws, i.e. for Stieltjes transform of the empirical eigenvalue distribution of a large re…
The non-Hermitian minor process
Giorgio Cipolloni, László Erdős, Oleksii Kolupaiev
We show that the log-determinant of leading principal minors of large non-Hermitian random matrices converges in distribution to a 2+1 dimensional Gaussian field, which is logarith…
The eigenvalues of i.i.d. matrices are hyperuniform
Giorgio Cipolloni, László Erdős, Oleksii Kolupaiev
We prove that the point process of the eigenvalues of real or complex non-Hermitian matrices with independent, identically distributed entries is hyperuniform: the variance of…
Spectral independence of almost fully correlated random matrices
Oleksii Kolupaiev
We study the joint spectral properties of two coupled random matrices and , which are either real symmetric or complex Hermitian. The entries of these matrices e…
Law of fractional logarithm for random matrices
Zhigang Bao, Giorgio Cipolloni, László Erdős +2
We prove the Paquette-Zeitouni law of fractional logarithm (LFL) for the extreme eigenvalues [arXiv:1505.05627] in full generality, and thereby verify a conjecture from [arXiv:1505…
Decorrelation transition in the Wigner minor process
Zhigang Bao, Giorgio Cipolloni, László Erdős +2
We consider the Wigner minor process, i.e. the eigenvalues of an Wigner matrix together with the eigenvalues of all its minors, , $n\le N…
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…
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…
Gaussian fluctuations in the Equipartition Principle for Wigner matrices
Giorgio Cipolloni, László Erdős, Joscha Henheik +1
The total energy of an eigenstate in a composite quantum system tends to be distributed equally among its constituents. We identify the quantum fluctuation around this equipartitio…
Anomalous singularity of the solution of the vector Dyson equation in the critical case
Oleksii Kolupaiev
We consider the solution of the vector Dyson equation in the case when has a block staircase structure with different critical zero blocks below the strictl…