OOIR: Observatory of International Research

Papers

(The TQCC of Russian Journal of Mathematical Physics 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 2021-11-01 to 2025-11-01.)

Article	Citations
Maslov Rank Distributions for the Analysis of Two-Dimensional and Quasi-Two-Dimensional Turbulent Flows	41
On Semiclassical Asymptotics for Nonlocal Equations	41
Trace of the Resolvent of the Laplace Operator on a Metric Graph	36
Coincidence of the Dimensions of First Countable Spaces with a Countable Network	31
A Series of Spectral Gaps for the Ganeshan–Pixley–Das Sarma Model	31
Bounds for the Kolmogorov Widths of the Sobolev Weighted Classes with Conditions on the Zero and Highest Derivatives	26
Properties of Chebyshev Generalized Rational Fractions in $$L_1$$	21
The Thom Isomorphism in Gauge-Equivariant $$K$$-Theory of $$C^*$$-Bundles	19
Caricature of Hydrodynamics for the Harmonic Crystal Coupled to a Klein–Gordon Field	16
Analytical Complexity and Signal Coding	15
Visually Smooth Non-Congruent Flat Simply Connected Domains That Are Numerically Dirichlet–Neumann Isospectral	13
Solarity and Proximinality in Generalized Rational Approximation in Spaces $$C(Q)$$ and $$L^p$$	13
Double-Deck Structure in a Fluid Flow Induced by a Uniformly Rotating Disk with Small Irregularities: the Nonsymmetric Case	12
Generalization of Spivey’s Recurrence Relation	12
Boundary-Value Problem for Singularly Perturbed Integro-Differential Equation with Singularly Perturbed Neumann Boundary Condition	10
On the Reconstruction from the Imaginary Part for Radiation Solutions in Two Dimensions	9
Uniformly and Locally Convex Asymmetric Spaces	9
Functional-Difference Equations and Their Link with Perturbations of the Mehler Operator	8
Index of Inönü–Wigner Contractions of Semisimple Lie Algebras	8
Stokes Phenomenon and Spectral Locus in a Problem of Singular Perturbation Theory	8
On the Riccati Difference Equation and Continued Fractions	7
Integrable Hamiltonian Systems on the Symplectic Realizations of $$\textbf{e}(3)^*$$	7
$$\mathbb{Z}_{2}-$$Graded Lie Algebra of Quaternions and Superconformal Algebra in $$D=4$$ Dimensions	6
On Perturbation of Thresholds in Essential Spectrum under Coexistence of Virtual Level and Spectral Singularity	6
Quantization of Nonsmooth Curves and the Semiclassical Spectrum of the One-Dimensional Schrödinger Operator with a Localized Perturbation of the Potential	5

Some Identities Involving Degenerate Stirling Numbers Associated with Several Degenerate Polynomials and Numbers	5
Exponential Localization for Eigensections of the Bochner–Schrödinger operator	5
On Degenerate Orbits of Real Lie Algebras in Multidimensional Complex Spaces	5
Double-Deck Structure of the Boundary Layer in the Flow Around a Small Localized Irregularity on a Curved Surface	5
Natural Volume Forms on Pseudo-Finslerian Manifolds with $$m$$th Root Metrics	5
A Metric Graph for Which the Number of Possible End Positions of a Random Walk Grows Minimally	5
Inverse Resonance Problem for Jacobi Operators on a Half-Lattice	4
Periodic Cyclic Cocycles on the Boutet de Monvel Symbol Algebra	4
Degenerate Whitney Numbers of First and Second Kind of Dowling Lattices	4
On the Homogenization of Nonlocal Convolution Type Operators	4
Geometry of Inhomogeneous Poisson Brackets, Multicomponent Harry Dym Hierarchies, and Multicomponent Hunter–Saxton Equations	4
Normal Ordering Associated with $$\lambda$$-Whitney Numbers of the First Kind in $$\lambda$$-Shift Algebra	4
On the Regularity of the Solution for Incompressible 3D Navier–Stokes Equation with Periodic Boundary Conditions	4
The General Kastler–Kalau–Walze Type Theorem for the $$J$$-Twist $$D_{J}$$ of the Dirac Operator	4
Classification of Singularities of Smooth Functions with a Finite Cyclic Symmetry Group	3
Probabilistic Degenerate Laguerre Polynomials with Random Variables	3
Exact Asymptotics of the Fundamental Solution of a Degenerate Parabolic Equation with a Small Parameter	3
Real Semiclassical Approximation for the Asymptotics of Jacobi Polynomials Given by a Difference Equation	3
Existence and Asymptotic Stability of Solutions for Periodic Parabolic Problems in Tikhonov-Type Reaction–Diffusion–Advection Systems with KPZ Nonlinearities	3
Rectilinear Vortex Thread in a Radially Nonhomogeneous Bingham Solid	3
On the Inverse Semigroup of Bimodules over a $$C^*$$-Algebra	3
Moment Representations of Fully Degenerate Bernoulli and Degenerate Euler Polynomials	3
Inner Transition Layer in Solutions of the Discrete Painlevé II Equation	3
Remarks on an Integral Equation of Landau–Lifschitz Type	3
On the Absence of a Propagation Front in the Cauchy Problem for a Certain Integro-Differential Equation with a Rabotnov Kernel	3
Trajectory Symbols and the Fredholm Property of Boundary Value Problems for Differential Operators with Shifts	3
Quasi-Classical Asymptotics Describing the Electron-Hole Interaction and the Klein Effect for the (2+1)-Dirac Equation in Abruptly Varying Fields	3
Radius Constants for Cesàro Operator of Analytic and Harmonic Functions in the Unit Disk	3
Continuity Criterion for Locally Bounded Endomorphisms of Connected Reductive Lie Groups	2
Abelian Theorems for the Wavelet Transform in Terms of the Fractional Hankel Transform	2
Semiclassical Asymptotics on Stratified Manifolds	2
Semiclassical Asymptotics and Particle-Antiparticle Interactions for the Dirac Equations with Abruptly Varying 4-Potential	2
Asymptotics of the Whispering Gallery-Type in the Eigenproblem for the Laplacian in a Domain of Revolution Diffeomorphic To a Solid Torus	2
Method of Potential Operators for Interaction Problems on Unbounded Hypersurfaces in $$\mathbb{R}^{n}$$ for Dirac Operators	2
Hamiltonian Systems with a Functional Parameter in the Form of a Potential	2
On Exceptional Quadrics	2
Asymptotic Solutions of the Cauchy Problem for the Nonlinear Shallow Water Equations in a Basin with a Gently Sloping Beach	2
The Generalized Zhang’s Operator and Kastler–Kalau–Walze Type Theorems	2
Asymptotics of Long Nonlinear Propagating Waves in a One-Dimensional Basin with Gentle Shores	2
Magneto-Dimensional Resonance on Curved Surfaces	2
A Version of the Weyl Complete Reducibility Theorem for Not Necessarily Continuous Representations of Connected Lie Groups	2
On the Domain of Constancy of the Sign of a Harmonic Function in the Unit Disk with Additional Conditions on the Boundary	2
On the Instability of Monotone Traveling-Wave Solutions for a Generalized Korteweg–de Vries–Burgers Equation	2