Includes bibliographical references.

Local inverse scattering problem as a tool of perturbation analysis for resonance systems;The continuous theory of dislocations for a material containing dislocations to one Burgers vector only;Spectral problems of high-order recurrences;On the multi-fractal spectrum of the whole-plane L�evy-Loewner evolution;Asymptotic behavior of large eigenvalues of a modified Jaynes-Cummings model;Fourier integrals and a new representation of Maslov's canonical operator near caustics;Inverse uniqueness results for one-dimensional weighted Dirac operators;Spectral loci of Sturm-Liouville operators with polynomial potentials;The central limit theorem for linear eigenvalue statistics of the sum of independent random matrices of rank one;On the spectrum of nonself-adjoint Zakharov-Shabat operators on mathbb {R} Homogenized model of oscillations of elastic medium with small caverns filled with viscous incompressible fluid;Double scaling limit in the Painlev�e IV equation and asymptotics of the Okamoto polynomials;Recovering a potential of the Sturm-Liouville problem from finite sets of spectral data;High-velocity estimates, inverse scattering and topological effects