72 citations · 152 across the 5 of their papers we have counts for
7 papers
Stability of the Matrix Dyson Equation and Random Matrices with Correlations
Oskari Ajanki, Laszlo Erdos, Torben Krüger
We consider real symmetric or complex hermitian random matrices with correlated entries. We prove local laws for the resolvent and universality of the local eigenvalue statistics i…
Singularities of solutions to quadratic vector equations on complex upper half-plane
Oskari Ajanki, Laszlo Erdos, Torben Krüger
Let be a positivity preserving symmetric linear operator acting on bounded functions. The nonlinear equation with a parameter in the complex upper…
Local spectral statistics of Gaussian matrices with correlated entries
Oskari Ajanki, Laszlo Erdos, Torben Krüger
We prove optimal local law, bulk universality and non-trivial decay for the off-diagonal elements of the resolvent for a class of translation invariant Gaussian random matrix ensem…
Universality for general Wigner-type matrices
Oskari Ajanki, Laszlo Erdos, Torben Krüger
We consider the local eigenvalue distribution of large self-adjoint random matrices with centered independent entries. In contrast to previous…
Quadratic vector equations on complex upper half-plane
Oskari Ajanki, Laszlo Erdos, Torben Krüger
We consider the nonlinear equation with a parameter in the complex upper half plane , where is a positivity preserving symmetric linear ope…
Local semicircle law with imprimitive variance matrix
Oskari Ajanki, Laszlo Erdos, Torben Krüger
We extend the proof of the local semicircle law for generalized Wigner matrices given in [4] to the case when the matrix of variances has an eigenvalue . In particular, this…