4 papers · 1 filter
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…
Cusp Universality for Correlated Random Matrices
László Erdős, Joscha Henheik, Volodymyr Riabov
For correlated real symmetric or complex Hermitian random matrices, we prove that the local eigenvalue statistics at any cusp singularity are universal. Since the density of states…
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…