We suggest a method of studying the joint probability density (JPD) of an eigenvalue and the
associated 'non-orthogonality overlap factor'(also known as the 'eigenvalue condition …

A bstract We describe a novel technique that renders theories of N axions tractable, and
more generally can be used to efficiently analyze a large class of periodic potentials of …

This paper presents a novel approach for automatic, preliminary detection of damage in
concrete structures using ground-based terrestrial laser scanners. The method is based on …

The statistics of the smallest eigenvalue of Wishart–Laguerre ensemble is important from
several perspectives. The smallest eigenvalue density is typically expressible in terms of …

We derive exact results for gap probabilities, as well as densities of extreme eigenvalues for
six complex random matrix ensembles of fundamental importance. These are Gauss …

A bstract We compute individual distributions of low-lying eigenvalues of massive chiral
random matrix ensembles by the Nyström-type quadrature method for evaluating the …

We apply QCD-inspired techniques to study nonrelativistic N-component degenerate
fermions with attractive interactions. By analyzing the singular-value spectrum of the fermion …

The correlated Wishart model provides the standard benchmark when analyzing time series
of any kind. Unfortunately, the real case, which is the most relevant one in applications …

We consider a parameter dependent ensemble of two real random matrices with Gaussian
distribution. It describes the transition between the symmetry class of the chiral Gaussian …

In the first part of this dissertation we study theories with several hundred (N) axion fields
which are subject to a broad class of periodic potentials. We develop a new technique …