95 citations · 482 across the 12 of their papers we have counts for
15 papers · 1 filter
Scattering in quantum dots via noncommutative rational functions
László Erdős, Torben Krüger, Yuriy Nemish
In the customary random matrix model for transport in quantum dots with internal degrees of freedom coupled to a chaotic environment via channels, the density of t…
Cusp Universality for Random Matrices I: Local Law and the Complex Hermitian Case
László Erdős, Torben Krüger, Dominik Schröder
For complex Wigner-type matrices, i.e. Hermitian random matrices with independent, not necessarily identically distributed entries above the diagonal, we show that at any cusp sing…
Local laws for polynomials of Wigner matrices
László Erdős, Torben Krüger, Yuriy Nemish
We consider general self-adjoint polynomials in several independent random matrices whose entries are centered and have the same variance. We show that under certain conditions the…
Correlated Random Matrices: Band Rigidity and Edge Universality
Johannes Alt, László Erdős, Torben Krüger +1
We prove edge universality for a general class of correlated real symmetric or complex Hermitian Wigner matrices with arbitrary expectation. Our theorem also applies to internal ed…
Power law decay for systems of randomly coupled differential equations
Laszlo Erdos, Torben Krüger, David Renfrew
We consider large random matrices with centered, independent entries but possibly different variances. We compute the normalized trace of for functions anal…
Location of the spectrum of Kronecker random matrices
Johannes Alt, Laszlo Erdos, Torben Krüger +1
For a general class of large non-Hermitian random block matrices we prove that there are no eigenvalues away from a deterministic set with very high probability. This…
Random Matrices with Slow Correlation Decay
László Erdős, Torben Krüger, Dominik Schröder
We consider large random matrices with a general slowly decaying correlation among its entries. We prove universality of the local eigenvalue statistics and optimal local laws for…
Local inhomogeneous circular law
Johannes Alt, Laszlo Erdos, Torben Krüger
We consider large random matrices with centered, independent entries which have comparable but not necessarily identical variances. Girko's circular law asserts that the spectr…
Local law for random Gram matrices
Johannes Alt, László Erdős, Torben Krüger
We prove a local law in the bulk of the spectrum for random Gram matrices , a generalization of sample covariance matrices, where is a large matrix with independent, cent…
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…