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JOURNALS // Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia // Archive

2020, Volume 493


MATHEMATICS
Stationary spherically symmetric solutions of the Vlasov–Poisson system in the three-dimensional case
J. Batt, E. Jörn, A. L. Skubachevskii
5
Topological modeling of integrable systems by billiards: realization of numerical invariants
V. V. Vedyushkina, V. A. Kibkalo, A. T. Fomenko
9
Zero preservation for a family of multivalued functionals, and applications to the theory of fixed points and coincidences
Yu. N. Zakharyan, T. N. Fomenko
13
On the dimension of the congruence centralizer
Kh. D. Ikramov
18
Geometry of factorization identities for discriminants
E. N. Mikhalkin, V. A. Stepanenko, A. K. Tsikh
21
On the motion, amplification, and blow-up of fronts in Burgers-type equations with quadratic and modular nonlinearity
N. N. Nefedov, O. V. Rudenko
26
On the problem of periodicity of continued fraction expansions of $\sqrt{f}$ for cubic polynomials over number fields
V. P. Platonov, V. S. Zhgoon, M. M. Petrunin
32
Coadjoint orbits of three-step free nilpotent Lie groups and time-optimal control problem
A. V. Podobryaev
38
On Heyde's theorem on the group $\mathbb{R}\times\mathbb{T}$
G. M. Feldman
42
On necessary conditions of probability limit theorems in finite algebras
A. D. Yashunskii
47

INFORMATICS
Methods for calculating zero-level instability of electronic circuits under variations in parameters and external disturbances
V. I. Anisimov, V. N. Gridin
51
Limits for detailed description of problems in continuous media mechanics and numerical algorithm for viscous gas flow simulation
A. E. Lutsky, B. N. Chetverushkin
57
New statistical kernel-projection estimator in the Monte Carlo method
G. A. Mikhailov, N. V. Tracheva, S. A. Uhinov
62
Interference-based logic gates
S. A. Stepanenko
68
Efficient approximation of the capacitated vehicle routing problem in a metric space of an arbitrary fixed doubling dimension
M. Yu. Khachay, Yu. Yu. Ogorodnikov
74
Young duality and aggregation of balances
A. A. Shananin
81

CONTROL PROCESSES
Problem of safely tracking an object avoiding observation in $\mathbb{R}^2$
V. I. Berdyshev
86
Abductive reasoning in explanation problems of an observed effect
S. N. Vassilyev
90
Trajectory optimality conditions for moving object with nonuniform radiation pattern
A. A. Galyaev, P. V. Lysenko, V. P. Yahno
95
Contact geometry in optimal control of thermodynamic processes for gases
A. G. Kushner, V. V. Lychagin, M. Roop
99
Asymptotic efficiency of maximum entropy estimates
Yu. S. Popkov
104
Terminal invariance of jump diffusions
M. M. Khrustalev, K. A. Tsarkov
108


© Steklov Math. Inst. of RAS, 2025