OOIR: Observatory of International Research

Papers

(The TQCC of Russian Journal of Mathematical Physics is 3. 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 2022-05-01 to 2026-05-01.)

Article	Citations
On Semiclassical Asymptotics for Nonlocal Equations	48
Maslov Rank Distributions for the Analysis of Two-Dimensional and Quasi-Two-Dimensional Turbulent Flows	41
Trace of the Resolvent of the Laplace Operator on a Metric Graph	40
Caricature of Hydrodynamics for the Harmonic Crystal Coupled to a Klein–Gordon Field	32
A Series of Spectral Gaps for the Ganeshan–Pixley–Das Sarma Model	32
Solarity and Proximinality in Generalized Rational Approximation in Spaces $$C(Q)$$ and $$L^p$$	25
Coincidence of the Dimensions of First Countable Spaces with a Countable Network	21
Analytical Complexity and Signal Coding	20
Visually Smooth Non-Congruent Flat Simply Connected Domains That Are Numerically Dirichlet–Neumann Isospectral	17
Bounds for the Kolmogorov Widths of the Sobolev Weighted Classes with Conditions on the Zero and Highest Derivatives	17
Properties of Chebyshev Generalized Rational Fractions in $$L_1$$	16
The Thom Isomorphism in Gauge-Equivariant $$K$$-Theory of $$C^*$$-Bundles	12
Generalization of Spivey’s Recurrence Relation	11
Double-Deck Structure in a Fluid Flow Induced by a Uniformly Rotating Disk with Small Irregularities: the Nonsymmetric Case	11
Boundary-Value Problem for Singularly Perturbed Integro-Differential Equation with Singularly Perturbed Neumann Boundary Condition	11
Index of Inönü–Wigner Contractions of Semisimple Lie Algebras	10
Functional-Difference Equations and Their Link with Perturbations of the Mehler Operator	9
A Formula of Atiyah–Bott–Lefschetz Type and Its Application to Operators with a Finite Group of Shifts	8
On the Reconstruction from the Imaginary Part for Radiation Solutions in Two Dimensions	8
Stokes Phenomenon and Spectral Locus in a Problem of Singular Perturbation Theory	8
On Perturbation of Thresholds in Essential Spectrum under Coexistence of Virtual Level and Spectral Singularity	8
Singularities of Landau–Ginzburg Models for Complete Intersections and Derived Categories	8
Internal Transition Layer in Reaction-Diffusion System in Bounded Domains	6
On the Riccati Difference Equation and Continued Fractions	6
$$\mathbb{Z}_{2}-$$Graded Lie Algebra of Quaternions and Superconformal Algebra in $$D=4$$ Dimensions	6

Quantization of Nonsmooth Curves and the Semiclassical Spectrum of the One-Dimensional Schrödinger Operator with a Localized Perturbation of the Potential	5
Double-Deck Structure of the Boundary Layer in the Flow Around a Small Localized Irregularity on a Curved Surface	5
Remarks on the Determination of the Lorentzian Metric by the Lengths of Geodesics or Null-Geodesics	5
On Degenerate Orbits of Real Lie Algebras in Multidimensional Complex Spaces	5
Some Identities Involving Degenerate Stirling Numbers Associated with Several Degenerate Polynomials and Numbers	5
A Metric Graph for Which the Number of Possible End Positions of a Random Walk Grows Minimally	5
Exponential Localization for Eigensections of the Bochner–Schrödinger operator	5
On an Extremal Gheit Function and Its Applications	5
Continuously Representable Topological Groups with Indecomposable Representations of Bounded Degree	5
Quantization of Branched Coverings Revisited	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
Periodic Cyclic Cocycles on the Boutet de Monvel Symbol Algebra	4
Semiclassical Asymptotics of the Solution to the Cauchy Problem for the Three-Dimensional Schrödinger Equation with a Point Potential	4
On the Homogenization of Nonlocal Convolution Type Operators	4
Inverse Resonance Problem for Jacobi Operators on a Half-Lattice	4
Geometry of Inhomogeneous Poisson Brackets, Multicomponent Harry Dym Hierarchies, and Multicomponent Hunter–Saxton Equations	4
Achieving a Travelling Wave in a Hyperbolic Equation	4
Natural Volume Forms on Pseudo-Finslerian Manifolds with $$m$$th Root Metrics	4
The General Kastler–Kalau–Walze Type Theorem for the $$J$$-Twist $$D_{J}$$ of the Dirac Operator	4
Degenerate Whitney Numbers of First and Second Kind of Dowling Lattices	4
On the Local Dynamics of an Equation with Two Large Proportional Delays	4
Radius Constants for Cesàro Operator of Analytic and Harmonic Functions in the Unit Disk	3
Real Semiclassical Approximation for the Asymptotics of Jacobi Polynomials Given by a Difference Equation	3
Exact Asymptotics of the Fundamental Solution of a Degenerate Parabolic Equation with a Small Parameter	3
Continuity Criterion for Locally Bounded Endomorphisms of Connected Reductive Lie Groups	3
Remarks on an Integral Equation of Landau–Lifschitz Type	3
Existence and Asymptotic Stability of Solutions for Periodic Parabolic Problems in Tikhonov-Type Reaction–Diffusion–Advection Systems with KPZ Nonlinearities	3
Quasi-Classical Asymptotics Describing the Electron-Hole Interaction and the Klein Effect for the (2+1)-Dirac Equation in Abruptly Varying Fields	3
On the Absence of a Propagation Front in the Cauchy Problem for a Certain Integro-Differential Equation with a Rabotnov Kernel	3
A Version of the Weyl Complete Reducibility Theorem for Not Necessarily Continuous Representations of Connected Lie Groups	3
Classification of Singularities of Smooth Functions with a Finite Cyclic Symmetry Group	3
Moment Representations of Fully Degenerate Bernoulli and Degenerate Euler Polynomials	3
Rectilinear Vortex Thread in a Radially Nonhomogeneous Bingham Solid	3
Trajectory Symbols and the Fredholm Property of Boundary Value Problems for Differential Operators with Shifts	3
Method of Potential Operators for Interaction Problems on Unbounded Hypersurfaces in $$\mathbb{R}^{n}$$ for Dirac Operators	3
Probabilistic Degenerate Laguerre Polynomials with Random Variables	3
Inner Transition Layer in Solutions of the Discrete Painlevé II Equation	3