Spectrum of a random Schrödinger difference operator

Translated from Matematicheskie Zametki, Vol. 50, No. 3, pp. 81–86, September, 1991.     

Filtering formulas

Translated from algebra i Logika, Vol. 30, No. 6, pp. 693–704, November–December, 1991.     

Inverse monodromy problems in mathematical physics

After a short introduction devoted to the origin of the problem considered from the physical problems of quantum field theory and statistical mechanics, the paper considers the mathematical aspects of the Knizhnik-Zamolodchikov equation theory associated with various root systems and the results connected with the inverse monodromy problem for them. __________ Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 33, Suzdal Conference-2004, Part 1, 2005.     

Magnetic structure of the interface between ferromagnet and antiferromagnet with parallel anisotropy axes

The structure of a spin spiral arising in the vicinity of the interface between a ferromagnet and a compensated antiferromagnet is studied in the case where the anisotropy axes of the layers are parallel to each other, and the evolution of this spiral in an external magnetic field is investigated.     

Narrowband filters based on one-barrier crystallike structures

A method of producing narrowband high-selectivity filters based on resonance tunneling in onebarrier crystallike structures is proposed. Characteristics illustrating the efficiency of the method are presented.     

Charge injection in study of ferroelectric film properties

A model of a capacitor with a two-layer insulator has been considered. The current density exponentially depends on voltage in one of layers and is negligible in the other layer. The dependences of current on the time of voltage action and the charge-voltage characteristics of the two-layer capacitor have been calculated. The results obtained can be used to detect and study charge injection during polarization of ferroelectrics.     

Low-mode tomography of inhomogeneities in a shallow sea

Potentialities of observing spatially localized inhomogeneities by the low-frequency low-mode pulsed diffraction tomography in a shallow sea are analyzed. A numerically simulated model is used to study the procedure of reconstructing the parameters of inhomogeneities by coprocessing the signals of the tomographic projections formed at the multistatic excitation and reception of low-frequency low-mode acoustic pulses.     

Copolymers of acrylic acid with urea

Composition and rheological characteristics of aqueous solutions of acrylic acid/urea copolymers were studied, including the composition dependences of the equivalent conductivity and viscosity.