f random matrices and the moments of the Riemann zeta-function (and other L-functions) along the so-called critical line. That line of research stimulated interest in general correlation properties of the characteristic polynomials of RMT ensembles . Ideas coming from the field of numerical matrix analysis lead to a fruitful and promising enrichment of the Random Matrix theory by "beta-ensembles" due to Dumitriu and Edelman  with a continuous positive parameter beta characterizing the statistics of their eigenvalues, the three discrete values beta=1,2 and 4 corresponding to the classical Orthogonal, Unitary, and Symplectic RMT ensembles. Apart from that, a steady growth of attention to various aspects of random matrix ensembles of non-Hermitian matrices with eigenvalues scattered in the complex plane  is to be mentioned, extending and generalizing early works by Ginibre  and Girko . Among other actively researched topics deserve mentioning works on singular values distributions and eigenvalues of random covariance matrices , important, in particular, for applications in quantum information context  and for the analysis of multivariate data in time series appearing in financial mathematics . Actively investigated were also random matrix ensembles with multifractal eigenvectors and/or the so-called critical eigenvalue statistics , ensembles of heavy-tailed random matrices , of sparse random matrices , and of Euclidean random matrices , as well as random matrices in external source and coupled in a chain . Increasingly important role in many RMT developments continue to play Harish-Chandra-Itzykson-Zuber integration formula  and its extensions, as well as the Selberg Integral, see  for a recent review.
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