SovietRxiv · Open Access in English
Rediscovering the Soviet scientific archive, in English
25357 full-text translations 14926 English PDFs 22539 abstracts
Showing 50 of 25357 papers
This paper reports an experimental search for low-lying collective electronic excitations in benzene predicted near 1.04 eV and 1.68 eV. Using very long optical path lengths in liquid benzene and selected derivatives, the authors recorded absorption spectra in the near infrared and visible regions, …
This paper studies stabilization as time tends to infinity for solutions of the heat equation in the generalized Cauchy problem with initial data in the distribution space \(S'_{1/2}(R^n)\). It defines a generalized spherical limiting mean for the initial functional and shows that, when this mean ex…
The paper proposes a new application of nonstoichiometric semiconductor compounds as in situ sensors for measuring the partial vapor pressure of components during technological processes such as crystal growth and purification. The authors argue that, for compounds with a homogeneity range, changes …
This paper studies sequential estimation plans for basic Markov processes, focusing on first-entry stopping rules and the extent to which such plans are determined by properties of their stopping times. For binomial and multinomial schemes, Poisson processes, and Brownian motion with unknown drift, …
This paper investigates the angular and frequency dependence of the effective reflection coefficient of sound signals reflected from a rough ocean surface, together with amplitude fluctuations of the reflected pulses. Measurements were made from a single drifting vessel using a submerged transmitter…
The paper studies the relationship between the Teichmüller metric on the space of marked compact Riemann surfaces of genus p and invariant metrics on the Siegel upper half-plane induced by the period matrix map. It proves that the maximal normalized invariant Finsler metric on the Siegel space gives…
This paper examines why quartz crystal terminations become asymmetric or distorted, focusing on the combined effects of crystal orientation in the gravitational field and silica supersaturation in the growth solution. The authors compare natural quartz crystals, using gamma irradiation of polished s…
This paper studies power stability of finite difference approximations for time-dependent mixed problems with constant coefficients, using the spectral framework of Godunov and Ryabenkii for families of evolution operators. It introduces generalized eigenvalues of the characteristic equation and ana…
This note studies the evasion version of a linear differential game in which one controlled object seeks to avoid coincidence with another under nonanticipative choice of controls. For the system defined by a constant matrix and convex compact control sets, the authors formulate a sufficient geometr…
This paper examines a special case in the crystallographic reconstruction of a point basic system from its vector system, when only one multiple peak is available rather than two. The authors adapt the earlier decomposition algorithm, showing that the second stage yields groups of parallelograms ins…
This paper derives the probability of a nonradiative electronic transition with charge redistribution for a molecule or complex embedded in a polar liquid. Treating the medium as a continuous dielectric described by a frequency dependent permittivity, the authors formulate the problem using a Hamilt…
The paper studies the Dirichlet problem for uniformly elliptic second order equations in divergence form whose lower order coefficients may be discontinuous and unbounded, but belong to mixed norm spaces rather than ordinary Lebesgue classes. It develops embedding and interpolation estimates for mix…
The paper reports an X-ray crystallographic determination of synthetic calcium chondrodite, Ca5[SiO4]2(OH)2, obtained under hydrothermal conditions relevant to calcium silicate hydration products. Using 500 nonzero reflections, Patterson analysis, electron-density synthesis, and least-squares refine…
This paper examines the anomalous low-temperature plasticity of near-surface layers in diamond-lattice semiconductor crystals, especially silicon, under concentrated “soft indentation” loading through a plastic metal gasket. Using previously established stress calculations and experimental criteria …
This paper studies generalized Gaussian stationary processes whose spectra have asymptotic power-law behavior, focusing on analytic descriptions of the associated Hilbert spaces with reproducing kernels. Using canonical representations for multiplicity-one processes and Wiener-Hopf type equations, i…
A variational procedure is presented for analyzing poorly resolved symmetric isotropic EPR spectra by comparing experimental and theoretical correlation functions in Fourier space. The method uses an analytical expression for the Fourier transform of spectra with Lorentzian and Gaussian line-shape c…
This paper studies pseudodifferential operators on smooth compact Riemannian manifolds with boundary, acting on Bessel potential spaces of sections of Hermitian vector bundles. It defines boundary indicators as families of Wiener-Hopf operators, formulates fitted boundary problems and related equipm…
This paper examines the relationship between crustal structure and the upper mantle, especially the depth and geophysical expression of the asthenosphere, using magnetovariational observations together with seismic, heat-flow, gravity, radioactivity, and geological data. Drawing on observations from…
This note defines a class of strictly hyperbolic difference operators intended to preserve key properties of strictly hyperbolic differential operators on sequences of grids. Using Fourier representations on the grid, it formulates homogeneity, regularity, and root separation conditions analogous to…
The paper develops an algorithm for constructing higher order approximations in the averaging method for systems of ordinary differential equations with a small parameter and a periodic right hand side. By successive changes of variables, each remainder is shown to satisfy an equation of the same st…
This paper examines long centrifugal waves that propagate on the free surface of a gas vortex in an axisymmetric translational and rotational flow of an incompressible liquid. Building on a theoretical relation between the critical axial flow velocity and the wave propagation velocity, the study rep…
This paper studies nonlinear problems in antenna synthesis, focusing on determining a current distribution from a prescribed bearing characteristic satisfying a nonlinear integral equation involving shifted squared Fourier transforms. It proves uniqueness of the solution in the class of square integ…
The paper studies uniform structures of borderings on completely regular spaces, a concept related to Smirnov’s characterization of compact extensions with controlled remainder dimension. It defines such structures by axioms analogous to uniform structures of open covers, proves that the subfamily o…
This note studies Sobolev type problems for pseudodifferential equations when boundary conditions are imposed on a submanifold that is not the boundary of the ambient manifold and has multidimensional singularities. The argument localizes the problem near the singular submanifold, applies a Fourier …
This paper studies a class of two-player differential games in which one player observes the opponent’s phase coordinates only after a fixed delay. It formulates the guaranteed payoff for the delayed-information player and derives a first-order Hamilton-Jacobi type equation with terminal conditions …
This paper investigates x-ray excited luminescence of trivalent rare earth ions in yttrium aluminum garnet crystals grown by the Czochralski method, contrasting this excitation with conventional optical pumping of rare earth absorption bands. Steady x-ray excitation produced intense luminescence fro…
This note studies stability of closed, possibly discontinuous, Phi-minus operators between locally convex spaces under compact and precompact perturbations. It establishes sufficient conditions under which a perturbation of a Phi-minus operator remains Phi-minus, extending earlier results for Fréche…
The paper presents algorithms for the square assignment problem, seeking one matrix element in each row and column with minimum total sum. It introduces a vector adjustment framework in which selected row bases are maintained as minimal relative to column potentials, and an iteration reduces the num…
This paper studies crossed products of type II1 factors by finite groups of outer automorphisms, with emphasis on preservation of approximate finiteness for hyperfinite factors. It proves that if a separably acting type II1 factor is approximately finite, then its crossed product by a finite outer a…
This paper studies the computational power of probabilistic Turing machines relative to deterministic machines in problems of enumeration and function computation. It proves that, for sets whose complements are universal in suitable recursion-theoretic senses, probabilistic machines can, with arbitr…
This paper studies positive, or bounded below, solutions of evolutionary hypoelliptic equations, stated primarily for uniformly Petrovskii parabolic equations of arbitrary order with real variable coefficients. Using auxiliary functions, Green’s formulas, interior and boundary estimates, and invaria…
The paper reports an X-ray crystallographic determination of the rare-earth sodium titanosilicate mineral tundrite from the Lovozero massif, addressing uncertainties in its composition and structural formula. Using three-dimensional Patterson, electron-density, weighted synthesis, and difference syn…
A general theory is developed for a regenerative EO+ optron with direct electrical and positive optical feedback, removing earlier restrictions on the ampere, lux, and resistance characteristics of its light-emitting diode and photoresistor components. The paper derives conditions for the appearance…
The paper studies when the regularization of elliptic boundary-value problems by potentials is equivalent to the original problem, a question not settled by the construction of regular integral equations alone. For a normally solvable boundary-value problem for a single elliptic equation in an n-dim…
This paper reports experiments on low-frequency plasma noise during turbulent current heating in the toroidal device Vikhr-2, focusing on oscillations at and below the ion plasma frequency. Using electric and magnetic probes, millimeter-wave combination scattering, and modulation analysis of the pla…
This paper develops a homotopy method for computing the index of locally trivial families of Fredholm pseudodifferential structures on compact manifolds with boundary, including elliptic differential boundary-value problems. After formulating augmented and framed pseudodifferential homomorphisms in …
This paper analyzes the spectral composition of induced radiation generated in a laser resonator with frequency-dependent losses. Using stationary rate equations for photon populations and inverted population density, the authors derive conditions for the number of oscillating modes when the resonat…
The paper studies self-adjoint extensions of ordinary differential operators of arbitrary order on a finite interval in a Hilbert space of vector-valued functions, with continuous operator coefficients. It introduces Hermitian relations in a Hilbert space and describes their Cayley transform represe…
This note introduces d-centered systems and d-ends of a topological space as tools for studying ultrafilters, relaxations, and decomposability. It gives several proofs, without the continuum hypothesis, of the existence of ultrafilters with bases of crowded self-dense sets in every nonempty crowded …
The paper develops expansions of arbitrary functions on two-dimensional and three-dimensional Lobachevsky spaces as superpositions of wave eigenfunctions of the Laplace operator. Using spherical and cylindrical means, it derives inversion formulas for expansions in pseudospherical waves in three dim…
The article proposes a general computer based method for predicting disease courses when reliable mechanistic models are unavailable. It represents case histories as sequences of numbered clinical states and stores observed disease variants in a finite directed random graph with statistically estima…
This paper studies three-dimensional diffraction of elastic harmonic waves by an infinite periodic row of identical circular cylindrical cavities in an elastic body. Using longitudinal and transverse wave potentials in cylindrical coordinates, the authors exploit the phase periodicity of an incident…
This paper studies a characteristic criterion for the motion of a machine unit, interpreted as the relative contribution of inertial forces of initial motion compared with those of steady motion. Using the energy equation for the driving link and assumptions on the reduced moment of the acting force…
This paper formulates a continuous theory of scale similarity for nonnegative random fields, motivated by the statistics of turbulent energy dissipation but applicable to analogous quantities such as squared vorticity or squared temperature gradients. Defining subdivision coefficients as ratios of f…
This note treats a mixed boundary value problem in elasticity for an infinite elastic layer twisted by two coaxial circular punches of different radii applied to opposite faces. Using a Hankel integral representation for the single nonzero azimuthal displacement component, the boundary conditions ar…
This paper establishes an analogue of P. Fatou’s boundary theorem for regular quaternion functions in four-dimensional Euclidean space. For a right-regular quaternion function in a star-shaped domain bounded by a Lyapunov hypersurface, satisfying a uniform integral bound on homothetic interior hyper…
This note studies closed form solvability of singular integral equations on a closed contour with kernels satisfying Hölder type regularity and analytic continuation assumptions. It proves that a singular integral operator with a kernel analytic in both variables and normalized on the diagonal is in…
This paper experimentally tests predictions of a chain model for scattering of medium energy ions by crystal surfaces, focusing on argon ions incident on the copper (100) face with the [110] atomic chain in the scattering plane. Energy distributions of scattered 30 keV ions were measured at several …
