The continuous-time Markov chain (CTMC) is the mathematical workhorse of evolutionary
biology. Learning CTMC model parameters using modern, gradient-based methods requires …

We study the mixing behavior of random Lindblad generators with no symmetries, using the
dynamical map or propagator of the dissipative evolution. In particular, we determine the …

Continuous-time Markovian evolution appears to be manifestly different in classical and
quantum worlds. We consider ensembles of random generators of N-dimensional Markovian …

Abstract We consider N× NN*N non‐Hermitian random matrices of the form X+ A X+A,
where AA is a general deterministic matrix and NX NX consists of independent entries with …

This book is aimed at students in communications and signal processing who want to extend
their skills in the energy area. It describes power systems and why these backgrounds are …

We study the asymptotic behavior of outliers in the spectrum of bounded rank perturbations
of large random matrices. In particular, we consider perturbations of elliptic random matrices …

Given a $ n\times n $ random matrix $ X_n $ with iid entries of unit variance, the circular law
says that the empirical spectral distribution (ESD) of $ X_n/\sqrt {n} $ converges to the …

We consider the Brown measure of free circular Brownian motion $\boldsymbol {a}+\sqrt
{t}\boldsymbol {x} $, where $\boldsymbol {a} $ is a general non-normal operator and …

Symmetric matrices with zero row sums occur in many theoretical settings and in real-life
applications. When the offdiagonal elements of such matrices are iid random variables and …

The triangular elliptic operators are natural extensions of the elliptic deformation of circular
operators. We obtain a Brown measure formula for the sum of a triangular elliptic operator g …