Random matrix theory is a wide and growing field with a variety of concepts, results, and
techniques and a vast range of applications in mathematics and the related sciences. The …

We consider N× N random matrices of the form H= W+ V where W is a real symmetric
Wigner matrix and V a random or deterministic, real, diagonal matrix whose entries are …

This paper is concerned with Hermite-Padé rational approximants of analytic functions and
their connection with multiple orthogonal polynomial ensembles of random matrices. Results …

We present a gravitational theory that interpolates between JT gravity, and a gravity theory
with a fixed boundary Hamiltonian. For this, we consider a matrix integral with the insertion …

We present a generalization of multiple orthogonal polynomials of types I and II, which we
call multiple orthogonal polynomials of mixed type. Some basic properties are formulated …

Multiple orthogonal polynomials are traditionally studied because of their connections to
number theory and approximation theory. In recent years they were found to be connected to …

We investigate the asymptotic zero distribution of Heine-Stieltjes polynomials–polynomial
solutions of second order differential equations with complex polynomial coefficients. In the …

We analyze the left-tail asymptotics of deformed Tracy–Widom distribution functions
describing the fluctuations of the largest eigenvalue in invariant random matrix ensembles …

We consider N*N random matrices of the form H=W+V where W is a real symmetric or
complex Hermitian Wigner matrix and V is a random or deterministic, real, diagonal matrix …

Let S be a positivity‐preserving symmetric linear operator acting on bounded functions. The
nonlinear equation with a parameter z in the complex upper half‐plane ℍ has a unique …