A. D. Ventsel, M. I. Freidlin. Small random perturbations of a dynamic system in a stable equilibrium position . . . 506
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Submitted 1969-01-01 | RussiaRxiv: ru-196901.46047 | Translated from Russian

Abstract

Full Text

A. D. Ventsel, M. I. Freidlin. Small random perturbations of a dynamic system in a stable equilibrium position . . . 506
S. N. Kruzhkov. Linear and non-linear parabolic systems on a plane . . . 510
V. E. Liantse. On the perturbation of a continuous spectrum . . . 514
G. A. Margulis. On the arithmetic discrete groups . . . 518
A. J. Khelemskii. Relations between the structure of some nilpotent associative algebras and the structure of their ideals . . . 521

CYBERNETICS AND THE REGULATION THEORY

V. P. Zarovnyi. Decoding selftune automata . . . 525
S. J. Zaslavskii, K. A. Ivanov-Muromskii. Automatic forecast of the course of diseases by means of digital computers . . . 528

AERODYNAMICS

N. R. Sibgatullin. Non-linear relativistic waves in spercompressed gas . . . 531

THEORY OF ELASTICITY

V. A. Babeshko. Asymptotic properties of solutions to certain integral equations . . . 535

PHYSICS

M. D. Bondarenko, A. V. Gnatovskii, M. S. Soskin. A holographic method for the transformation of coherent light fields . . . 538
F. V. Bunkin, I. I. Tugov. The possibility of electron-positron pair production in vacuum when laser radiation is focussed . . . 541
M. M. Denisov. Induced transitions of a relativistic electron in a homogeneous magnetic field . . . 545
M. M. Myshliaev, V. I. Nikitenko. High temperature creep of single silicon crystals . . . 549
V. E. Pafomov. Electron-positron pair study . . . 552
S. I. Pekar. Chemical lasers of high pressure and light-stimulated chemical reactions . . . 555

TECHNICAL PHYSICS

E. S. Golovina, V. S. Chaplygina, L. L. Kotova. Self-diffusion of carbon . . . 558
E. A. Zhurakovskii, N. N. Vasilenko. X-Ray emission \(K_{\alpha}\)-band of nitrogen in nitrides of IV, V and VI-group transition metals . . . 562
I. V. Telegina, E. V. Kolontsova. Small-angle scattering of X-ray by single lithium fluoride crystals irradiated by neutrons . . . 566

CRYSTALLOGRAPHY

N. E. Filonenko, T. P. Nikitina, N. M. Kamentseva. Sectorial growth of cubic boron nitride crystals . . . 569

CORRECTIONS

In my article (M. S. Rozovskii, “Compilation of single-axis regular gear mechanisms by means of combinatorial schemes”), published in DAN, vol. 184, No. 5, 1969, on p. 1066, line 26 from the bottom, instead of the printed: “Let \(ps\) be the output immediately preceding \(pq\),” it should read “Let \(ps\) be the output immediately following \(pq\).”

M. Rozovskii

In the article by E. A. Anfert’eva and N. G. Chudakov, “On minima of norm functions in imaginary quadratic fields,” published in DAN, vol. 183, No. 2, 1968, on p. 255, formula (2) should read

\[ L(s,\chi)L(s,X) = \frac{1}{2} \sum_{\nu=1}^{h} \sum_{x,y}^{\prime} \frac{\chi\!\left(Q_{\nu}(x,y)\right)}{Q_{\nu}^{s}(x,y)} = \]

\[ = L(2s,\chi^{2}) \sum_{\nu=1}^{h} \chi(a_{\nu})a_{\nu}^{-s} + \sum_{\nu=1}^{h} a_{\nu}^{-s}\Phi_{\nu}\!\left(\frac{b_{\nu}}{2a_{\nu}}\right). \tag{2} \]

Submitted for typesetting 30/IV-1969. T-07088. Signed for printing 17/VI-1969. Print run 1470 copies.
Order 2184. Paper format \(70\times108^{1}/_{16}\). Conventional printed sheets 22.4+4 inserts. Paper sheets 8. Publisher’s accounting sheets 22.8.
2nd printing house of the “Nauka” Publishing House. Moscow, Shubinskii Lane, 10.

Submission history

A. D. Ventsel, M. I. Freidlin. Small random perturbations of a dynamic system in a stable equilibrium position . . . 506