Doklady Mathematics

Article	Citations
On the Determinism of Paths on Substitution Complexes	148
A Note on Borsuk’s Problem in Minkowski Spaces	29
On Tautochronic Motions	21
Invariants of Seventh-Order Homogeneous Dynamical Systems with Dissipation	14
On Asymptotics of Attractors of the Navier–Stokes System in Anisotropic Medium with Small Periodic Obstacles	12
One-Armed Bandit Problem and the Mirror Descent Algorithm	12
Scheduling in Multiagent Systems Using Reinforcement Learning	10
Two-Colorings of Normed Spaces with No Long Monochromatic Unit Arithmetic Progressions	10
Individual Stability of Pareto Equilibrium of Threats and Counterthreats in a Coalition Differential Game without Side Payments	9
On Procedures for Testing the Equivalence of Distribution Tails	9
Numerical-Statistical Investigation of Superexponential Growth of Mean Particle Flow with Multiplication in a Homogeneous Random Medium	9
Quasi-Normal Forms in the Problem of Vibrations of Pedestrian Bridges	9
Search for Optimal Architecture of Physics-Informed Neural Networks Using Differential Evolution Algorithm	9
The Software System LingvoDoc and the Possibilities It Offers for Documentation and Analysis of Ob-Ugric Languages	8
ExtraSAGA: Variance Reduction Hybrid Method for Variational Inequalities	7
Enhancing Time-Series Modeling with Stochastic Differential Equation Discovery: An Evolutionary Approach	7
On Solvability of a Pursuit Game with Nonlinear Dynamics in Hilbert Space	7
Where Semantics Meets Space: A Layer-Wise Analysis of Frozen Encoders for Efficient Polyp Segmentation	7
On Analogues of Herbrand’s and Harrop’s Theorems for the Joint Logic of Problems and Propositions QHC	7
Scene Graph Forecasting Using Neural Network-Based Methods	7
To Birman–Krein–Vishik Theory	6
Mathematics of Accelerated Expansion of the Universe and Lobachevsky Space	6
Semiproducts, Products, and Modal Predicate Logics: Some Examples	6
Theoretically Justified Contrastive Self-Supervised Methods for Continuous Dependent Data	6
1-Dimensional Topological Invariants to Estimate Loss Surface Non-Convexity	6

Onboard Instance Segmentation of Railway Infrastructure and Obstacles for Autonomous Train Systems	6
Perron’s Method in the Dirichlet Problem for the Soft Laplacian on a Stratified Set	6
ESGify: Automated Classification of Environmental, Social, and Corporate Governance Risks	5
Introductory Words of AI Journey Team	5
Loss Function Dynamics and Landscape for Deep Neural Networks Trained with Quadratic Loss	5
Integral Estimates of Derivatives of Rational Functions in Hölder Domains	5
TOMMANO—Virtualised Network Functions Management in Cloud Environment based on the TOSCA Standard	5
NP-Completeness of Hanabi Game with Minimal Parameters	5
Construction of an Artificial Neural Network for Solving the Incompressible Navier–Stokes Equations	5
On the Structure of Laplacian Characteristic Polynomial of Circulant Graphs	5
Intransitively Winning Chess Players’ Positions	5
Deriving Hydrodynamic Equations for a Hamiltonian “Field–Lattice” System	5
Connectedness of Prym Eigenform Loci in Genus 5	5
On Optimal Rotation of a Rigid Body by Applying Internal Forces	5
Do we Benefit from the Categorization of the News Flow in the Stock Price Prediction Problem?	5
Accounting for Phase Limitations During Intense Acceleration of a Mobile Robot and Its Motion in Drift Mode	5
Mind and Motion Aligned: A Joint Evaluation IsaacSim Benchmark for Task Planning and Low-Level Policies in Mobile Manipulation	5
eco4cast: Bridging Predictive Scheduling and Cloud Computing for Reduction of Carbon Emissions for ML Models Training	5
Opinion Formation in the Presence of Hidden Internal Opinions and Possibility of Influencing Them	5
Estimate for the Domain of Univalence in the Class of Holomorphic Self-Maps of a Disk with Two Boundary Fixed Points	5
An Inverse Problem for a Semilinear Wave Equation	4
Asymmetric Dynamic Resource Management Problem with Different Regimes	4
Equilibrium in Secure Strategies As a Development of the Concept of Nash Equilibrium	4
Generalization of the Julia–Carathéodory Theorem to the Case of Several Boundary Fixed Points	4
Generating Survival Interpretable Trajectories and Data	4
Infinite Linear Independence with Constraints on a Subset of Prime Numbers for Values of Euler-Type Series with Polyadic Liouville Parameter	4
Upper Bound for the Competitive Facility Location Problem with Demand Uncertainty	4
Ruadapt: Cost-Effective Large Language Model Lingual Adaptation	4
On One Differential Game with Payoff Functions of the Germeier Convolution Type	4
Dynamics of Systems with Unilateral Differential Constraints	4
Automation of Input Control of Transistors Using Deep Learning Models and Analysis of Their Latent Space	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
Notes on the Recurrence of Birkhoff Sums	4
Construction of Smooth Source–Sink Arcs in the Space of Diffeomorphisms of a Two-Dimensional Sphere	4
Geometric Deep Learning for Design of Catalysts and Molecules	4
On Stabilization of an Explicit Difference Scheme for a Nonlinear Parabolic Equation	4
The Price of Anarchy in the Congestion Game with Flow Constraints	4
Extremum Conditions for Constrained Scalar Control of Two Nonsynchronous Oscillators in the Time-Optimal Control Problem	4
On the Atypical Strength Anisotropy of Weakly Cemented Sandstones	4
eco2AI: Carbon Emissions Tracking of Machine Learning Models as the First Step Towards Sustainable AI	4
On Kernels of Invariant Schrödinger Operators with Point Interactions. Grinevich–Novikov Conjecture	4
Cooperative Multicriteria Dynamic Games: Application to Transportation Problems	4
On Basic Mathematical Definitions of Digital Technologies and Artificial Intelligence	4
On Condensations onto σ-Compact Spaces	4
On the Zaremba Problem for Inhomogeneous p-Laplace Equation with Drift	4
Loss Barcode: A Topological Measure of Escapability in Loss Landscapes	3
An Empirical Scrutinization of Four Crisp Clustering Methods with Four Distance Metrics and One Straightforward Interpretation Rule	3
Employing Synthetic Canopy Height Model Data to Enhance Tree Identification in High-Resolution Satellite Imagery	3
Computers As a Novel Mathematical Reality: III. Mersenne Numbers and Sums of Divisors	3

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

A Model Zeta Function of the Monoid of Natural Numbers

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