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math-ph2023★ 2 cited
Prethermalization for Deformed Wigner Matrices
László Erdős, Joscha Henheik, Jana Reker +1
We prove that a class of weakly perturbed Hamiltonians of the form , with being a Wigner matrix, exhibits prethermalization. That is, the time evolution generate…
math.PR2023
Density of Brown measure of free circular Brownian motion
László Erdős, Hong Chang Ji
We consider the Brown measure of the free circular Brownian motion, , with an arbitrary initial condition , i.e. $\boldsymbol…
math.PR2023★ 1 cited
Wegner estimate and upper bound on the eigenvalue condition number of non-Hermitian random matrices
László Erdős, Hong Chang Ji
We consider non-Hermitian random matrices of the form , where is a general deterministic matrix and consists of independent entries with zero mean,…