OOIR: Observatory of International Research

Papers

(The TQCC of Doklady Mathematics is 2. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-03-01 to 2024-03-01.)

Article	Citations
eco2AI: Carbon Emissions Tracking of Machine Learning Models as the First Step Towards Sustainable AI	15
Topological Modeling of Integrable Systems by Billiards: Realization of Numerical Invariants	15
Young Duality and Aggregation of Balances	11
Random Quantization of Hamiltonian Systems	9
Simulation of Seismic Waves in Anisotropic Media	9
On the Existence of a Global Solution of a Hyperbolic Problem	9
Classical Solutions of Hyperbolic Equations with Nonlocal Potentials	9
Force Evolutionary Billiards and Billiard Equivalence of the Euler and Lagrange Cases	9
Increased Integrability of the Gradient of the Solution to the Zaremba Problem for the Poisson Equation	9
Composition Operators on Weighted Sobolev Spaces and the Theory of $${{\mathcal{Q}}_{p}}$$-Homeomorphisms	9
Schrödinger Quantization of Infinite-Dimensional Hamiltonian Systems with a Nonquadratic Hamiltonian Function	7
Arithmetic Properties of Euler-Type Series with a Liouvillian Polyadic Parameter	7
Application of Pretrained Large Language Models in Embodied Artificial Intelligence	7
On L2-Dissipativity of a Linearized Explicit Finite-Difference Scheme with Quasi-Gasdynamic Regularization for the Barotropic Gas Dynamics System of Equations	7
On the Finiteness of the Number of Expansions into a Continued Fraction of $$\sqrt f $$ for Cubic Polynomials over Algebraic Number Fields	7
On the Generalized Gardner Problem for Phase-Locked Loops in Electrical Grids	7
On Global Classical Solutions of Hyperbolic Differential-Difference Equations	7
Uniqueness of Solutions of Initial-Boundary Value Problems for Parabolic Systems with Dini-Continuous Coefficients in Domains on the Plane	7
New Cases of Integrable Odd-Order Systems with Dissipation	6
Productive Education in Mathematical Schools	6
Many-Dimensional Zaremba Problem for an Inhomogeneous p-Laplace Equation	6
On the Zakharov–L’vov Stochastic Model for Wave Turbulence	6
Solution of the Fracture Detection Problem by Machine Learning Methods	6
Application of a Numerical-Asymptotic Approach to the Problem of Restoring the Parameters of a Local Stationary Source of Anthropogenic Pollution	6
On the Motion, Amplification, and Blow-up of Fronts in Burgers-Type Equations with Quadratic and Modular Nonlinearity	6

Estimate of the Number of Edges in Subgraphs of a Johnson Graph	6
On the Problem of Periodicity of Continued Fraction Expansions of $$\sqrt f $$for Cubic Polynomials over Number Fields	6
Combined Monotone Bicompact Scheme of Higher Order Accuracy in Domains of Influence of Nonstationary Shock Waves	6
Uniqueness of Solutions to Initial Boundary Value Problems for Parabolic Systems in Plane Bounded Domains with Nonsmooth Lateral Boundaries	6
Hidden Boundary of Global Stability in a Counterexample to the Kapranov Conjecture on the Pull-In Range	5
Jacobi Stability of a Many-Body System with Modified Potential	5
Sub-Riemannian Engel Sphere	5
An Inverse Problem for a Semilinear Wave Equation	5
The Second Boundary Value Problem for Differential-Difference Equations	5
3D Filtering of Images Corrupted by Additive-Multiplicative Noise	5
Explicit Solutions for a Series of Optimization Problems with 2-Dimensional Control via Convex Trigonometry	5
Modeling of Radiative Heat Conduction on High-Performance Computing Systems	5
Bicompact Finite-Difference Scheme for Maxwell’s Equations in Layered Media	5
Dependence of the Dynamics of a Model of Coupled Oscillators on the Number of Oscillators	4
Differential Equations in Banach Algebras	4
Phaseless Problem of Determination of Anisotropic Conductivity in Electrodynamic Equations	4
Exact Solutions of Incompressible Navier–Stokes Equations in the Case of Oil and Gas Industrial Problems	4
Properties of an Aggregated Quasi-Gasdynamic System of Equations for a Homogeneous Gas Mixture	4
OntoMathPRO: An Ontology of Mathematical Knowledge	4
Two-Level Regression Method Using Ensembles of Trees with Optimal Divergence	4
Application of Special Function Spaces to the Study of Nonlinear Integral Equations Arising in Equilibrium Spatial Logistic Dynamics	4
On the Existence and Structure of Universal Functions	4
Minimal Self-Similar Peano Curve of Genus 5 × 5	4
Efficient Approximation of the Capacitated Vehicle Routing Problem in a Metric Space of an Arbitrary Fixed Doubling Dimension	4
Planning and Learning in Multi-Agent Path Finding	4
Problem of Determining the Anisotropic Conductivity in Electrodynamic Equations	4
Problem of Acoustic Diagnostics of a Damaged Zone	4
Accuracy of MUSCL-Type Schemes in Shock Wave Calculations	4
On Dividing Sets into Parts of Smaller Diameter	4
Nonlocal Problems with Generalized Samarskii–Ionkin Condition for Some Classes of Nonstationary Differential Equations	3
Optimal Control and “Strange” Term Arising from Homogenization of the Poisson Equation in the Perforated Domain with the Robin-type Boundary Condition in the Critical Case	3
On Optimal Rotation of a Rigid Body by Applying Internal Forces	3
Classical Solutions of the First Boundary Value Problem for Parabolic Systems on the Plane	3
Computers as a Novel Mathematical Reality: I. A Personal Account	3
Regular Boundary Value Problems for the Dirac Operator	3
On the Maximal Cut in a Random Hypergraph	3
On the Periodicity Problem for the Continued Fraction Expansion of Elements of Hyperelliptic Fields with Fundamental S-Units of Degree at Most 11	3
Integral Estimates of Derivatives of Rational Functions in Hölder Domains	3
Stability Analysis of Artificial Ice Islands by Methods of Mathematical Modeling	3
Plans’ Periodicity Theorem for Jacobian of Circulant Graphs	3
Quantum Graphs with Small Edges: Holomorphy of Resolvents	3
Uniqueness of a Probability Solution to the Kolmogorov Equation with a Diffusion Matrix Satisfying Dini’s Condition	3
Analogues of Classical Goodness-of-Fit Tests for Distribution Tails	3
Representation of Synthesizable Differentiation-Invariant Subspaces of the Schwartz Space	3
Mathematical Modeling of the Consumer Loan Market in Russia under Sanctions	2
Group Structures on Algebraic Varieties	2
Optimization of Oscillations of Mechanical Systems	2
The Kolmogorov Problem on Uniqueness of Probability Solutions of a Parabolic Equation	2
On the Homogenization of an Optimal Control Problem in a Domain Perforated by Holes of Critical Size and Arbitrary Shape	2
Operator Spectrum Transformation in Hartree–Fock and Kohn–Sham Equations	2

Improving the Quality of Tomographic Images of a Medium Using Irradiation with Pulses of Different Duration	2
Zero Preservation for a Family of Multivalued Functionals, and Applications to the Theory of Fixed Points and Coincidences	2
Densities of distributions of homogeneous functions of Gaussian random vectors	2
Uniqueness and Existence Theorems for Solving Problems of Scattering Electromagnetic Waves by Anisotropic Bodies	2
A Time-Dependent Strange Term Arising in Homogenization of an Elliptic Problem with Rapidly Alternating Neumann and Dynamic Boundary Conditions Specified at the Domain Boundary: The Critical Case	2
On the Period Length of a Functional Continued Fraction over a Number Field	2
Covering Planar Sets	2
Markov Approximations of the Evolution of Quantum Systems	2
On Large Deviations of a Sum of Independent Random Variables with Rapidly Decreasing Distribution Tails	2
Estimation of the Growth of the Degree of Nonconvexity of Reachable Sets in Terms of α-Sets	2
Asymptotic Efficiency of Maximum Entropy Estimates	2
On the Spectrum of a Non-Self-Adjoint Quasiperiodic Operator	2
Constructive Solution of One Vector Equilibrium Problem	2
New Cases of Homogeneous Integrable Systems with Dissipation on Tangent Bundles of Two-Dimensional Manifolds	2
Pólya–Schur Inequality and the Green Energy of a Discrete Charge	2
Forecasting a Cyclical Downturn (Recession) in the US Economy Using a Mathematical Model of Hyman Minsky’s Theory of Financial Instability	2
Problem of Safely Tracking an Object Avoiding Observation in $${{\mathbb{R}}^{2}}$$	2
Coarea Formula for Functions on 2-Step Carnot Groups with Sub-Lorentzian Structure	2
Randomization and Entropy in Machine Learning and Data Processing	2
On the Existence of Focus Singularities in One Model of a Lagrange Top with a Vibrating Suspension Point	2
Periodic Time-Optimal Controls on Two-Step Free-Nilpotent Lie Groups	2
On a Family of Complex-Valued Stochastic Processes	2
Anisotropy-Based Approach to Communication Tuning for a Time-Varying Sensor Network System	2
Optimal Trajectory of an Observer Tracking the Motion of an Object Equipped with a Striking Device	2
Asymptotics of the Number of Threshold Functions and the Singularity Probability of Random {±1}-Matrices	2
On Gaussian Transition Operators	2
One Problem of Extremal Functional Interpolation and the Favard Constants	2
On Oscillation Properties of Self-Adjoint Boundary Value Problems of Fourth Order	2
Generalization of the Landau and Becker–Pommerenke Inequalities	2
On Second-Order Parabolic and Hyperbolic Perturbations of a First-Order Hyperbolic System	2
Modeling Formation and Removal of Limescale in Water Treatment Systems	2
New Problems in the Theory of Transcendental Polyadic Numbers	2
Numerical Analysis of Laminar–Turbulent Transition by Methods of Chaotic Dynamics	2
The Problem of Trajectories Avoiding a Sparse Terminal Set	2
New Cases of Homogeneous Integrable Systems with Dissipation on Tangent Bundles of Three-Dimensional Manifolds	2
On Derivation of Equations of Electrodynamics and Gravitation from the Principle of Least Action, the Hamilton–Jacobi Method, and Cosmological Solutions	2
Kirchhoff Index for Circulant Graphs and Its Asymptotics	2
Mathematical Structures Related to the Description of Quantum States	2
Method for Reduced Basis Discovery in Nonstationary Problems	2
Applications of Zvonkin’s Transform to Stationary Kolmogorov Equations	2
Tensor Invariants of Geodesic, Potential, and Dissipative Systems on Tangent Bundles of Two-Dimensional Manifolds	2