Vol. 95, No. 1, 2017

Doklady Mathematics

A simultaneous English language translation of this journal is available from Pleiades Publishing, Ltd.
Distributed worldwide by Springer. Doklady Mathematics ISSN 1064-5624.

Mathematics

Hölder Mappings of Carnot Groups and Intrinsic Bases

M. B. Karmanova p. 1 abstract

On the Chromatic Numbers of Low-Dimensional Spaces

D. D. Cherkashin and A. M. Raigorodskii p. 5 abstract

Numerical Algorithms and Fault Tolerance of Hyperexascale Computer Systems

Academician of the RAS B. N. Chetverushkin and Corresponding Member of the RAS M. V. Yakobovskiy p. 7 abstract

Groups of Quotients of Semigroups of Invertible Nonnegative Matrices over Skewfields

E. I. Bunina, A. V. Mikhalev and V. V. Nemiro p. 12 abstract

On the Chromatic Number of a Space with a Forbidden Regular Simplex

A. M. Raigorodskii and A. A. Sagdeev p. 15 abstract

Explicit Integration of the System of Invariant Relations for the Case of M. Adler and P. van Moerbeke

P. E. Ryabov p. 17 abstract

Jacobi Translation and the Inequality of Different Metrics for Algebraic Polynomials on an Interval

V. V. Arestov and M. V. Deikalova p. 21 abstract

Noether Theorems and Quantum Anomalies

J. Gough, T. S. Ratiu and O. G. Smolyanov p. 26 abstract

Infinite Quantum Graphs

A. S. Kostenko, M. M. Malamud, H. Neidhardt and P. Exner p. 31 abstract

Generalized Equilibrium for Conflict Problems with Side Interests of Participants

E. R. Smol’yakov p. 37 abstract

Length-Type Parameters of Finite Groups with Almost Unipotent Automorphisms

E. I. Khukhro and P. Shumyatsky p. 43 abstract

On the Existence of Solutions of Nonlinear Equations

A. V. Arutyunov p. 46 abstract

On the Reduction Property for GLP-Algebras

Corresponding Member of the RAS L. D. Beklemishev p. 50 abstract

On the Fundamental Solution of the Fokker–Planck–Kolmogorov Equation

A. G. Chechkin and A. S. Shamaev p. 55 abstract

Spectra of Short Monadic Sentences about Sparse Random Graphs

M. E. Zhukovskii and A. B. Kupavskii p. 60 abstract

Algebraic Ricci Solitons on Metric Lie Groups with Zero Schouten–Weyl Tensor

P. N. Klepikov and E. D. Rodionov p. 62 abstract

Simulation of Astrophysical Phenomena on the Basis of High-Performance Computations

Academician of the RAS B. N. Chetverushkin, N. D’Ascenzo, A. V. Saveliev and V. I. Saveliev p. 68 abstract

Attractors in Models of Porous Media Flow

A. V. Akhmetzyanov, A. G. Kushner and V. V. Lychagin p. 72 abstract

On the Arkhipov–Karatsuba Multivariate System of Congruences

H. M. Saliba and V. N. Chubarikov p. 76 abstract

On the Whitney Problem for Weighted Sobolev Spaces

A. I. Tyulenev and S. K. Vodop’yanov p. 79 abstract

On the Convergence Condition for the Schwarz Alternating Method for the Two-Dimensional Laplace Equation

E. G. Shifrin p. 84 abstract

Mathematical Physics

Relationship between the Itô–Schrödinger and Hudson–Parthasarathy Equations

O. O. Obrezkov and O. G. Smolyanov p. 87 abstract

Stochastic Volatility in the Dynamics of Complex Homeostatic Systems

Academician of the RAS V. B. Betelin, V. M. Eskov, V. A. Galkin and T. V. Gavrilenko p. 92 abstract

Computer Science

Method for Constructing an External Polyhedral Estimate of the Trajectory Tube for a Nonlinear Dynamic System

A. V. Lotov p. 95 abstract

Control Theory

Necessary Optimality Conditions in an Optimal Control Problem for a Parabolic Equation with Nonlocal Integral Conditions

M. J. Mardanov and R. A. Teymurov p. 99 abstract

Spectral Decompositions for the Solutions of Sylvester, Lyapunov, and Krein Equations

I. B. Yadykin and A. B. Iskakov p. 103 abstract

Errata

Erratum to: “Transformations of Feynman Path Integrals and Generalized Densities of Feynman Pseudomeasures” [Doklady Mathematics 93(3), 282 (2016)]