A bstract We present state-of-the-art extractions of the strong coupling based on N 3 LO+
NNLL accurate predictions for the two-jet rate in the Durham clustering algorithm at e+ e …

There are several methods to treat ensembles of random matrices in symmetric spaces,
circular matrices, chiral matrices and others. Orthogonal polynomials and the …

We consider the least singular value of a large random matrix with real or complex iid
Gaussian entries shifted by a constant z∈ ℂ. We prove an optimal lower tail estimate on this …

Topological invariance is a powerful concept in different branches of physics as they are
particularly robust under perturbations. We generalize the ideas of computing the statistics of …

Random matrix theory has been successfully applied to lattice quantum chromodynamics. In
particular, a great deal of progress has been made on the understanding, numerically as …

Correlation functions for matrix ensembles with orthogonal and unitary-symplectic rotation
symmetry are more complicated to calculate than in the unitary case. The supersymmetry …

We analyze Dirac spectra of two-dimensional QCD-like theories both in the continuum and
on the lattice and classify them according to random matrix theories sharing the same global …

We calculate the 'one-point function', meaning the marginal probability density function for
any single eigenvalue, of real and complex Wishart correlation matrices. No explicit …

Supersymmetry is nowadays indispensable for many problems in Random Matrix Theory. It
is presented here with an emphasis on conceptual and structural issues. An introduction to …

We compute the spectral statistics of the sum H of two independent complex Wishart
matrices, each of which is correlated with a different covariance matrix. Random matrix …