1 citations · 1 across the 3 of their papers we have counts for
7 papers
Norm Convergence Rate for Multivariate Quadratic Polynomials of Wigner Matrices
Jacob Fronk, Torben Krüger, Yuriy Nemish
We study Hermitian non-commutative quadratic polynomials of multiple independent Wigner matrices. We prove that, with the exception of some specific reducible cases, the limiting s…
Mesoscopic Spectral CLT for Block Correlated Random Matrices
Torben Krüger, Yuriy Nemish
For random matrices with block correlation structure we show that the fluctuations of linear eigenvalue statistics are Gaussian on all mesoscopic scales with universal variance whi…
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…
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…
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…
Local law for the product of independent non-Hermitian matrices with independent entries
Yuriy Nemish
We consider products of independent square non-Hermitian random matrices. More precisely, let X(1),...,X(n) be random matrices with independent entries (real or complex with indepe…
No outliers in the spectrum of the product of independent non-Hermitian random matrices with independent entries
Yuriy Nemish
We consider products of independent square random non-Hermitian matrices. More precisely, let and let be independent random matrices with ind…