The theory of matrix models is reviewed from the point of view of its relation to integrable
hierarchies. Discrete 1-matrix, 2-matrix,'conformal'(multicomponent) and Kontsevich models …

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These lecture notes are intended as an introduction to the theory of rational Dunkl operators
and the associated special functions, with an emphasis on positivity and asymptotics. We …

A bstract In this paper, we investigate the effect of supersymmetry on the symmetry
classification of random matrix theory ensembles. We mainly consider the random matrix …

We propose a self-contained description of Vasiliev higher-spin theories with the emphasis
on nonlinear equations. The main sections are supplemented with some additional material …

The Higgs boson spectrum of the next-to-minimal supersymmetric standard model is
examined. The model includes a singlet Higgs field S in addition to the two Higgs doublets …

We propose a finite Chern-Simons matrix model on the plane as an effective description of
fractional quantum Hall fluids of finite extent. The quantization of the inverse filling fraction …

Within a group-theoretical approach to the description of (2+ 1)-dimensional anyons, the
minimal covariant set of linear differential equations is constructed for the fractional spin …

We obtain integral representations for the wave functions of Calogero-type systems,
corresponding to the finite-dimensional Lie algebras, using exact evaluation of the path …

We present a survey of the theory of coherent states (CS) and some of their generalizations,
with emphasis on the mathematical structure, rather than on physical applications. Starting …