Contents

Doklady Mathematics


Vol. 104, No. 3, 2021


Mathematics

On Stable Random Variables with a Complex Stability Index

I. A. Alexeev p. 317  abstract

Uniqueness of a Probability Solution to the Kolmogorov Equation with a Diffusion Matrix Satisfying Dini’s Condition

V. I. Bogachev and S. V. Shaposhnikov p. 322  abstract

On the Spectrum of a Non-Self-Adjoint Quasiperiodic Operator

D. I. Borisov and A. A. Fedotov p. 326  abstract

Local Marchenko–Pastur Law for Sparse Rectangular Random Matrices

F. Götze, D. A. Timushev and A. N. Tikhomirov p. 332  abstract

On the Maximal Cut in a Random Hypergraph

P. A. Zakharov and D. A. Shabanov p. 336  abstract

Properties of an Aggregated Quasi-Gasdynamic System of Equations for a Homogeneous Gas Mixture

A. A. Zlotnik and A. S. Fedchenko p. 340  abstract

On a Family of Complex-Valued Stochastic Processes

Academician of the RAS I. A. Ibragimov, N. V. Smorodina and M. M. Faddeev p. 347  abstract

Proof of Stability in the Brower–Paul Problem

A. P. Ivanov p. 351  abstract

Dependence of the Dynamics of a Model of Coupled Oscillators on the Number of Oscillators

A. A. Kashchenko p. 355  abstract

Construction of Families of Equations to Describe Irregular Solutions in the Fermi–Pasta–Ulam Problem

S. A. Kashchenko p. 360  abstract

Mathematical Structures Related to the Description of Quantum States

Academician of the RAS V. V. Kozlov and O. G. Smolyanov p. 365  abstract

Application of the CABARET Scheme for Calculating Discontinuous Solutions of a Hyperbolic System of Conservation Laws

V. V. Ostapenko and V. A. Kolotilov p. 369  abstract

Hybrid Grid-Characteristic Schemes for Arctic Seismic Problems

Corresponding Member of the RAS I. B. Petrov, V. I. Golubev and E. K. Guseva p. 374  abstract

Mathematical Modeling of Neo-Hookean Material Growth

Corresponding Member of the RAS P. I. Plotnikov p. 380  abstract

Phaseless Problem of Determination of Anisotropic Conductivity in Electrodynamic Equations

Corresponding Member of the RAS V. G. Romanov p. 385  abstract

Quotients of Severi–Brauer Surfaces

A. S. Trepalin p. 390  abstract

Tensor Invariants of Geodesic, Potential, and Dissipative Systems on Tangent Bundles of Two-Dimensional Manifolds

M. V. Shamolin p. 394  abstract


Control Processes

Trajectory of an Observer Tracking the Motion of an Object around a Convex Set in ${{\mathbb{R}}^{3}}$

Academicain of the RAS V. I. Berdyshev p. 399  abstract