Doklady Mathematics

Article	Citations
On Tautochronic Motions	142
On the Determinism of Paths on Substitution Complexes	27
A Note on Borsuk’s Problem in Minkowski Spaces	20
On Solvability of a Pursuit Game with Nonlinear Dynamics in Hilbert Space	14
Invariants of Seventh-Order Homogeneous Dynamical Systems with Dissipation	12
Individual Stability of Pareto Equilibrium of Threats and Counterthreats in a Coalition Differential Game without Side Payments	12
One-Armed Bandit Problem and the Mirror Descent Algorithm	10
The Software System LingvoDoc and the Possibilities It Offers for Documentation and Analysis of Ob-Ugric Languages	10
Two-Colorings of Normed Spaces with No Long Monochromatic Unit Arithmetic Progressions	9
On Procedures for Testing the Equivalence of Distribution Tails	9
Scheduling in Multiagent Systems Using Reinforcement Learning	9
Quasi-Normal Forms in the Problem of Vibrations of Pedestrian Bridges	9
On Asymptotics of Attractors of the Navier–Stokes System in Anisotropic Medium with Small Periodic Obstacles	9
On Analogues of Herbrand’s and Harrop’s Theorems for the Joint Logic of Problems and Propositions QHC	8
Numerical-Statistical Investigation of Superexponential Growth of Mean Particle Flow with Multiplication in a Homogeneous Random Medium	7
Search for Optimal Architecture of Physics-Informed Neural Networks Using Differential Evolution Algorithm	7
Mathematics of Accelerated Expansion of the Universe and Lobachevsky Space	7
Semiproducts, Products, and Modal Predicate Logics: Some Examples	7
To Birman–Krein–Vishik Theory	7
Where Semantics Meets Space: A Layer-Wise Analysis of Frozen Encoders for Efficient Polyp Segmentation	6
Enhancing Time-Series Modeling with Stochastic Differential Equation Discovery: An Evolutionary Approach	6
Perron’s Method in the Dirichlet Problem for the Soft Laplacian on a Stratified Set	6
Scene Graph Forecasting Using Neural Network-Based Methods	6
Onboard Instance Segmentation of Railway Infrastructure and Obstacles for Autonomous Train Systems	6
ExtraSAGA: Variance Reduction Hybrid Method for Variational Inequalities	6

Theoretically Justified Contrastive Self-Supervised Methods for Continuous Dependent Data	6
Loss Function Dynamics and Landscape for Deep Neural Networks Trained with Quadratic Loss	5
Mind and Motion Aligned: A Joint Evaluation IsaacSim Benchmark for Task Planning and Low-Level Policies in Mobile Manipulation	5
Integral Estimates of Derivatives of Rational Functions in Hölder Domains	5
Connectedness of Prym Eigenform Loci in Genus 5	5
Opinion Formation in the Presence of Hidden Internal Opinions and Possibility of Influencing Them	5
ESGify: Automated Classification of Environmental, Social, and Corporate Governance Risks	5
eco4cast: Bridging Predictive Scheduling and Cloud Computing for Reduction of Carbon Emissions for ML Models Training	5
Accounting for Phase Limitations During Intense Acceleration of a Mobile Robot and Its Motion in Drift Mode	5
TOMMANO—Virtualised Network Functions Management in Cloud Environment based on the TOSCA Standard	5
Deriving Hydrodynamic Equations for a Hamiltonian “Field–Lattice” System	5
Intransitively Winning Chess Players’ Positions	5
1-Dimensional Topological Invariants to Estimate Loss Surface Non-Convexity	5
An Inverse Problem for a Semilinear Wave Equation	4
Do we Benefit from the Categorization of the News Flow in the Stock Price Prediction Problem?	4
On Optimal Rotation of a Rigid Body by Applying Internal Forces	4
Upper Bound for the Competitive Facility Location Problem with Demand Uncertainty	4
Generating Survival Interpretable Trajectories and Data	4
On Kernels of Invariant Schrödinger Operators with Point Interactions. Grinevich–Novikov Conjecture	4
eco2AI: Carbon Emissions Tracking of Machine Learning Models as the First Step Towards Sustainable AI	4
On Condensations onto σ-Compact Spaces	4
Asymmetric Dynamic Resource Management Problem with Different Regimes	4
On the Structure of Laplacian Characteristic Polynomial of Circulant Graphs	4
NP-Completeness of Hanabi Game with Minimal Parameters	4
Construction of an Artificial Neural Network for Solving the Incompressible Navier–Stokes Equations	4
Ruadapt: Cost-Effective Large Language Model Lingual Adaptation	4
Extremum Conditions for Constrained Scalar Control of Two Nonsynchronous Oscillators in the Time-Optimal Control Problem	4
On Basic Mathematical Definitions of Digital Technologies and Artificial Intelligence	4
Generalization of the Julia–Carathéodory Theorem to the Case of Several Boundary Fixed Points	4
On the Zaremba Problem for Inhomogeneous p-Laplace Equation with Drift	4
On Convergence of Finite-Difference Shock-Capturing Schemes in Regions of Shock Waves Influence	4
Introductory Words of AI Journey Team	4
On One Differential Game with Payoff Functions of the Germeier Convolution Type	4
Estimate for the Domain of Univalence in the Class of Holomorphic Self-Maps of a Disk with Two Boundary Fixed Points	4
Dynamics of Systems with Unilateral Differential Constraints	4
On Stabilization of an Explicit Difference Scheme for a Nonlinear Parabolic Equation	4
Mathematical Modeling of Plasma Transport in a Helical Magnetic Field	4
On a Paradoxical Property of the Shift Mapping on an Infinite-Dimensional Tori	4
New Formulas for the Inversion of the Radon Transform	4
Three-Level Scheme for Solving the Radiation Diffusion Equation	4
Automation of Input Control of Transistors Using Deep Learning Models and Analysis of Their Latent Space	4
Geometric Deep Learning for Design of Catalysts and Molecules	4
The Price of Anarchy in the Congestion Game with Flow Constraints	4
Construction of Smooth Source–Sink Arcs in the Space of Diffeomorphisms of a Two-Dimensional Sphere	3
Intermediate Asymptotics for Solutions to Equations of Emden–Fowler Type	3
On the Number of Pursuers That Guarantees the Capture of the Evader in a Game on the Graph of Icosahedral Edges	3
Neural Network-Based Coronary Dominance Classification of RCA Angiograms	3
Loss Barcode: A Topological Measure of Escapability in Loss Landscapes	3
Dynamic Models of Competition with Endogenous Network Formation: The Case of Constant Output	3
Machine Learning As a Tool to Accelerate the Search for New Materials for Metal-Ion Batteries	3

On the Atypical Strength Anisotropy of Weakly Cemented Sandstones	3
Bernstein–Riemann Interpolation Formula for Arbitrary Continuous Functions on an Interval	3
An Empirical Scrutinization of Four Crisp Clustering Methods with Four Distance Metrics and One Straightforward Interpretation Rule	3
On a Combinatorial Application of Ultrafilter Theory: A New Construction of Triangle-Free Graphs with Arbitrarily Large Chromatic Number	3
Discriminative Lemmatization of Abbreviations in the Era of LLMs	3
Joint Modeling of Wave Phenomena by Applying the Grid-Characteristic Method and the Discontinuous Galerkin Method	3
Companion Matrix for Composition of Polynomials and Its Application to Knot Theory	3
Harsanyi Extensions and the Cores of Almost Positive Games	3
Stack More LLM’s: Efficient Detection of Machine-Generated Texts via Perplexity Approximation	3
Solutions of Cooperative Differential Games with Partner Sets	3
Exact Estimates of Functions in Sobolev Spaces with Uniform Norm	3
Notes on the Recurrence of Birkhoff Sums	3
Computers as a Novel Mathematical Reality: I. A Personal Account	3
Cooperative Multicriteria Dynamic Games: Application to Transportation Problems	3
Equilibrium in Secure Strategies As a Development of the Concept of Nash Equilibrium	3
Dynamics of a System of Two Equations with a Large Delay	3
Conflict Triangles and Hexamatrix Games	3
Accessible Russian Large Language Models: Open-Source Models and Instructive Datasets for Commercial Applications	3
CRAFT: Cultural Russian-Oriented Dataset Adaptation for Focused Text-to-Image Generation	3
Pairwise Image Matching for Plagiarism Detection	3
Infinite Linear Independence with Constraints on a Subset of Prime Numbers for Values of Euler-Type Series with Polyadic Liouville Parameter	3
On Interpretations of Presburger Arithmetic in Büchi Arithmetics	3
Asymptotic Structure of Eigenvalues and Eigenvectors of Certain Triangular Hankel Matrices	3
Many-Dimensional Zaremba Problem for an Inhomogeneous p-Laplace Equation	2
Erratum to: On Numerical Modeling of Fiber Deformation and Destruction under Impact Load	2
Coalition Pareto-Optimal Solution in a Nontransferable Game	2
Generalization of the Landau and Becker–Pommerenke Inequalities	2
Introductory Words of AI Journey Team	2
Constructive Combinatorics in Elementary School Mathematics	2
Generating Russian-Language Image Descriptions in Both Formal and Conversational Styles via a Neural-Network Ensemble	2
Operator Spectrum Transformation in Hartree–Fock and Kohn–Sham Equations	2
On Numerical Beamforming for Acoustic Source Identification Based on Supercomputer Simulation Data	2
Multidimensional Cubature Formulas with Superpower Convergence	2
A Stability Estimate in the Source Problem for the Radiative Transfer Equation	2
Rotation Functions of Integrable Billiards As Orbital Invariants	2
SpiderNet: Fully Connected Residual Network for Fraud Detection	2
Dynamic Models of Competition and Cooperation in Cournot Oligopoly Taking into Account the Environmental Impact	2
Sufficient Condition for Polynomial Solvability of Random 3-CNF Formulas	2
Erratum to: Infobusiness As a New Digital Phenomenon in the Socio-Economic Sphere of Russia: Possibilities of Modeling and Regulation	2
Optimization of Physics-Informed Neural Networks for Solving the Nolinear Schrödinger Equation	2
On the Stationary Non-Equilibrium Measures for the “Field–Crystal” System	2
Cluster Validity across Attribute and Network Spaces: Empirical Benchmarks for Attributed Networks Clustering	2
Bernstein Inequality for the Riesz Derivative of Fractional Order Less Than Unity of Entire Functions of Exponential Type	2
Neural Networks for Coordination Analysis	2
Inverse Problem for a Monoid with an Exponential Sequence of Primes	2
Ramond and Neveu–Schwarz Algebras and Narrow Lie Superalgebras	2
Error Bounds for Integro Quadratic Spline Interpolation in the Mean and Superconvergence Points	2
Hiding Backdoors within Event Sequence Data via Poisoning Attacks	2
Mathematical Model of Thermocurrents Based on Calculation of Electrical Resistance and Thermopower As an Integral over Electron Energy	2
A New Spectral Measure of Complexity and Its Capabilities for Detecting Signals in Noise	2
Employing Synthetic Canopy Height Model Data to Enhance Tree Identification in High-Resolution Satellite Imagery	2
Dynamics of a System in the Presence of Invariant Relationships	2
Description of Turbulent Flows Using a Kinetic Model	2
Method for False Extrema Localization in Global Optimization	2
Conservativity Spectra and Joosten–Fernández Model	2
On an Approximation by Band-Limited Functions	2
Digital Ark of Knowledge	2
The Work of a Mathematician As a Prefiguring of Mastering Mathematics by Students: The Role of Experiments	2
On Numerical Modeling of Fiber Deformation and Destruction under Impact Load	2
On Derivation of Equations of Gravitation from the Principle of Least Action, Relativistic Milne–McCrea Solutions, and Lagrange Points	2
Existence and Relaxation of Solutions for a Differential Inclusion with Maximal Monotone Operators and Perturbations	2
Large Language Models in Cyberattacks	2
Aperiodical Isoperimetric Planar Homogenization with Critical Diameter: Universal Non-local Strange Term for a Dynamical Unilateral Boundary Condition	2
A Model Zeta Function of the Monoid of Natural Numbers	2
Analysis of a Growth Model with a CES Production Function	2
Automated System for Analysis of OCT Retina Images Development and Testing	2
Computers As a Novel Mathematical Reality: III. Mersenne Numbers and Sums of Divisors	2
About Minimal Polynomial of Residual Fractions for Algebraic Irrationalities	2
Attack against Layered Defense	2
Zeros of Conic Functions, Fixed Points, and Coincidences	2
Study of Computational Complexity of an Algorithm for Finding the Traffic Flow Wardrop Equilibrium	2
AI Review of Polygraph Screenings	2
Exact Solutions and Reductions of the Nonlinear Schrödinger Equation of General Form	2
Erratum to: Ray Statement of the Acoustic Tomography Problem	2
Approximation of Boundary Condition in Higher Order Grid-Characteristic Schemes	2
Incremental Learning of Topic Models for Finding Trend Topics in Scientific Publications	2
AI Methods in Control of Personalized General Education	2
Arithmetic Properties of Values at Polyadic Liouville Points of Euler-Type Series with Polyadic Liouville Parameter	1
Beyond Familiar Domains: A Study of the Generalization Ability of Machine-Generated Image Detectors	1
Enhancing fMRI Data Decoding with Spatiotemporal Characteristics in Limited Dataset	1

Erratum to: Solution of the Wave Equation for the Control of an Electromagnetoelastic Transducer	1
Methods for Organization of Iteration Loops in Calculating Dynamic Modes of Large Circuits Based on Decomposition	1
Game Problem of Target Approach for a Nonlinear Control System	1
On Integer Imputations of the Core of Totally Balanced Cooperative Games	1
One-Dimensional Finite-Gap Schrödinger Operators As a Limit of Commuting Difference Operators	1
Mathematical Modeling of Nonstationary Problems Related to Laser Thermochemistry of Methane in the Presence of Catalytic Nanoparticles	1
Integro-Differential Equation with a Sum-Difference Kernels and Power Nonlinearity	1
Universal Representations for Well-Logging Data via Ensembling of Self-Supervised Models	1
Inversion Problem for Radon Transforms Defined on Pseudoconvex Sets	1
Getting over Wide Obstacles by a Multi-Legged Robot	1
Potential Game in a Parallel Transportation Network with Symmetric Externalities	1
Classical Problems of Rational Approximation	1
Examples of Differential Systems with Contrasting Combinations of Lyapunov, Perron, and Upper-Limit Properties	1
Intransitive Sets of Financial Strategies with Constant Levels	1
Digital World, Mathematics, and Education	1
Adaptive Control for Two-Agent Opinion Dynamics under Uncertainty	1
Erratum to: JDCEMB: Joint Distillation and Contrastive Learning for Embeddings in Task-Oriented Dialogue Systems	1
A Generalization of the First Beurling–Malliavin Theorem	1
Evaluating the Effectiveness of Large Language Models in Identifying Communicatively Significant Errors in Papers of Students Learning Russian as a Foreign Language	1
On the Boyarsky–Meyers Estimate for the Gradient of the Solution to the Dirichlet Problem for a Second-Order Linear Elliptic Equation with Drift: The Case of Critical Sobolev Exponent	1
MMRFiGN: An Ensemble Graph Segmentation Model for Imbalanced High-Resolution Images Informed by Multicomponent Markov Random Fields	1
On the Concentration of Values of j-Chromatic Numbers of Random Hypergraphs	1
Brain Principles Programming	1
Partial Sums of Zero-Sum Games and Their Applications	1
On the Finiteness of the Set of Generalized Jacobians with Nontrivial Torsion Points over Algebraic Number Fields	1
Nonlocal Problems with Generalized Samarskii–Ionkin Condition for Some Classes of Nonstationary Differential Equations	1
Numerical Solution of Integro-Differential Equations of Viscoelasticity with Kernels of Exponential and Rabotnov Types	1
Productive Education in Mathematical Schools	1
Weakly Saturated Subgraphs of Random Graphs	1
MDS-ViTNet: Improving Saliency Prediction for Eye-Tracking with Vision Transformer	1
A Comparative Analysis of Sustainable Exploitation of Renewable Resources for Different Information Structures	1
On Kantorovich Problems with a Parameter	1
On Linear-Quadratic Differential Games for Fractional-Order Systems	1
Conditional Cost Function and Necessary Optimality Conditions for Infinite Horizon Optimal Control Problems	1
On Nonlinear Kloosterman Sums	1
Artificial Intelligence in Society	1
On the Sizes of k-Subgraphs of the Binomial Random Graph	1
Mathematical Modeling of the Consumer Loan Market in Russia under Sanctions	1
Erratum to: Computer Experiment in Teaching Mathematics	1
Modal Logics with Intersection Modality	1
Thermal Explosion As a Resonance of the Combustion Process	1
Solving Differential Equations with Pretrained Out-of-the-Box Models: The Potential of Small-Scale LLMs	1
Compactification of Spaces of Measures and Pseudocompactness	1
Erratum to: The Software System LingvoDoc and the Possibilities It Offers for Documentation and Analysis of Ob-Ugric Languages	1
Vandermonde Matrix in the General Case	1
On Topological Classification of Regular Denjoy Type Homeomorphisms	1
Railway Infrastructure Detection Based on YOLOv8 with NPU Acceleration	1
Simple Pursuit Problem with Phase Constraints of Two Coordinated Evaders on Time Scales	1
An Exact Quadratic Algorithm for the Shortest Tree Transformation	1
Infobusiness As a New Digital Phenomenon in the Socio-Economic Sphere of Russia: Possibilities of Modeling and Regulation	1
Application of Metaheuristic Algorithms for Optimization of Recloser Placement in a Power Supply System with Distributed Generation	1
Neural Network Image Classifiers Informed by Factor Analyzers	1
Review of Multimodal Environments for Reinforcement Learning	1
On Quantitative Assessment of Chirality: Right- and Left-Handed Geometric Objects	1
Common Digital Space of Scientific Knowledge as an Integrator of Polythematic Information Resources	1
Algorithmic Properties of Basic Categorial Grammars with Unique Category Assignment	1
Asymptotics for Eigenvalues of Schrödinger Operator with Small Translation and Dirichlet Condition	1
Topological Structure of the Solution Set of a Cauchy Problem for Fractional Differential Inclusions with an Upper Semicontinuous Right-Hand Side	1
Bicompact Schemes for Compressible Navier–Stokes Equations	1
Solvability Analysis of the Nonlinear Integral Equations System Arising in the Logistic Dynamics Model in the Case of Piecewise Constant Kernels	1
Approximation Algorithms with Constant Factors for a Series of Asymmetric Routing Problems	1
Mathematical Modeling of Overcoming the COVID-19 Pandemic and Restoring Economic Growth	1
Refined Mathematical Model of Economic Dynamics under High Inflation and Unstable Development	1
Arithmetic Properties of Polyadic Integers	1
Estimates of Alexandrov’s n-Width of a Compact Set for Some Infinitely Differentiable Periodic Functions	1
Solution of the Multimode Nonlinear Schrödinger Equation Using Physics-Informed Neural Networks	1
The Problem of the Flow of One Type of Non-Newtonian Fluid through the Boundary of a Multiply Connected Domain	1
On Fixed Points of Continuous Mappings Associated with Construction of Artificial Neural Networks	1
SciRus: Tiny and Powerful Multilingual Encoder for Scientific Texts	1
Dual Formulation of the Lemma on Substitution Homomorphisms	1
On Energy Integrals of a Mixed Problem for a B-Hyperbolic Equation	1
FusionBrain: Research Project in Multimodal and Multitask Learning	1
One Condition for Discreteness of the Spectrum and Compactness of the Resolvent of a Nonsectorial Sturm–Liouville Operator on a Semiaxis	1
On Certain Spanning Subgraphs of Random Graphs	1
Nonstationary Venttsel Problem with VMOx Leading Coefficients	1
Expanded Personality As the Main Entity and Subject of Philosophical Analysis: Implications for Education	1
Computers As a Novel Mathematical Reality: IV. The Goldbach Problem	1
Hierarchical Method for Cooperative Multiagent Reinforcement Learning in Markov Decision Processes	1
Suppression of Speckle Noise in Medical Images via Segmentation-Grouping of 3D Objects Using Sparse Contourlet Representation	1
Optimization of Oscillations of Mechanical Systems with Friction	1
On Higher Integrability of the Gradient of Solutions to the Zaremba Problem for p-Laplace Equation	1
Development of Applied Solutions Based on Artificial Intelligence for Technological Security Control	1
Polyadic Liouville Numbers	1
Application of Pretrained Large Language Models in Embodied Artificial Intelligence	1
Study of the Bias in Monte Carlo N-Particle Estimates for Problems with Particle Interaction	1
Regularized Equations for Dynamics of the Heterogeneous Binary Mixtures of the Noble-Abel Stiffened-Gases and Their Application	1
Solvability of the Initial-Boundary Value Problem for the Kelvin–Voigt Fluid Motion Model with Variable Density	1
Computers As a Novel Mathematical Reality: II. Waring’s Problem	1
RuWikiBench: Evaluating Large Language Models Through Replication of Encyclopedia Articles	0
Study of Volterra Integro-Differential Equations by Methods of Semigroup Theory	0
RuSciBench: Open Benchmark for Russian and English Scientific Document Representations	0
Continued Fractions in Hyperelliptic Fields with an Arbitrarily Long Period	0
Representations of Solutions for Volterra Integro-Differential Equations in Hilbert Spaces	0
Principle of Dynamic Balance of Demographic Process and the Limits of World Population Growth	0
Machine Learning to Control Network Powered by Computing Infrastructure	0