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 2021-09-01 to 2025-09-01.)

Article	Citations
On Semiclassical Asymptotics for Nonlocal Equations	41
A Series of Spectral Gaps for the Ganeshan–Pixley–Das Sarma Model	33
Maslov Rank Distributions for the Analysis of Two-Dimensional and Quasi-Two-Dimensional Turbulent Flows	33
Trace of the Resolvent of the Laplace Operator on a Metric Graph	28
Complete Integrability of a New Class of Hamiltonian Hydrodynamic Type Systems	24
Analytical Complexity and Signal Coding	24
Double-Deck Structure in a Fluid Flow Induced by a Uniformly Rotating Disk with Small Irregularities: the Nonsymmetric Case	18
Caricature of Hydrodynamics for the Harmonic Crystal Coupled to a Klein–Gordon Field	15
Properties of Chebyshev Generalized Rational Fractions in $$L_1$$	15
Bounds for the Kolmogorov Widths of the Sobolev Weighted Classes with Conditions on the Zero and Highest Derivatives	14
Coincidence of the Dimensions of First Countable Spaces with a Countable Network	13
Generalization of Spivey’s Recurrence Relation	12
The Thom Isomorphism in Gauge-Equivariant $$K$$-Theory of $$C^*$$-Bundles	10
Continuity Criteria for Locally Bounded Automorphisms of Central Extensions of Perfect Lie Groups	9
Uniformly and Locally Convex Asymmetric Spaces	9
Solarity and Proximinality in Generalized Rational Approximation in Spaces $$C(Q)$$ and $$L^p$$	9
Boundary-Value Problem for Singularly Perturbed Integro-Differential Equation with Singularly Perturbed Neumann Boundary Condition	8
Functional-Difference Equations and Their Link with Perturbations of the Mehler Operator	8
Pólya–Carlson Dichotomy for Dynamical Zeta Functions and a Twisted Burnside–Frobenius Theorem	6
Local Dynamics of Two-Component Parabolic Systems of Schröedinger Type	6
Stokes Phenomenon and Spectral Locus in a Problem of Singular Perturbation Theory	6
Integrable Hamiltonian Systems on the Symplectic Realizations of $$\textbf{e}(3)^*$$	5
Index of Inönü–Wigner Contractions of Semisimple Lie Algebras	5
On the Riccati Difference Equation and Continued Fractions	5
$$\mathbb{Z}_{2}-$$Graded Lie Algebra of Quaternions and Superconformal Algebra in $$D=4$$ Dimensions	5

Some Identities Involving Degenerate Stirling Numbers Associated with Several Degenerate Polynomials and Numbers	5
Spectral Analysis for Some Multifractional Gaussian Processes	5
On Perturbation of Thresholds in Essential Spectrum under Coexistence of Virtual Level and Spectral Singularity	5
A Metric Graph for Which the Number of Possible End Positions of a Random Walk Grows Minimally	5
On Degenerate Orbits of Real Lie Algebras in Multidimensional Complex Spaces	4
Natural Volume Forms on Pseudo-Finslerian Manifolds with $$m$$th Root Metrics	4
Normal Ordering Associated with $$\lambda$$-Whitney Numbers of the First Kind in $$\lambda$$-Shift Algebra	4
Exponential Localization for Eigensections of the Bochner–Schrödinger operator	4
On the Homogenization of Nonlocal Convolution Type Operators	4
On the Correspondence between the Variational Principles in the Eulerian and Lagrangian Descriptions	4
Quantization of Nonsmooth Curves and the Semiclassical Spectrum of the One-Dimensional Schrödinger Operator with a Localized Perturbation of the Potential	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	3
Quasi-Classical Asymptotics Describing the Electron-Hole Interaction and the Klein Effect for the (2+1)-Dirac Equation in Abruptly Varying Fields	3
Degenerate Whitney Numbers of First and Second Kind of Dowling Lattices	3
Periodic Cyclic Cocycles on the Boutet de Monvel Symbol Algebra	3
Inner Transition Layer in Solutions of the Discrete Painlevé II Equation	3
Existence and Asymptotic Stability of Solutions for Periodic Parabolic Problems in Tikhonov-Type Reaction–Diffusion–Advection Systems with KPZ Nonlinearities	3
The General Kastler–Kalau–Walze Type Theorem for the $$J$$-Twist $$D_{J}$$ of the Dirac Operator	3
Real Semiclassical Approximation for the Asymptotics of Jacobi Polynomials Given by a Difference Equation	3
Classification of Singularities of Smooth Functions with a Finite Cyclic Symmetry Group	3
Rectilinear Vortex Thread in a Radially Nonhomogeneous Bingham Solid	3
On the Regularity of the Solution for Incompressible 3D Navier–Stokes Equation with Periodic Boundary Conditions	3
Moment Representations of Fully Degenerate Bernoulli and Degenerate Euler Polynomials	2
On the Inverse Semigroup of Bimodules over a $$C^*$$-Algebra	2
Method of Potential Operators for Interaction Problems on Unbounded Hypersurfaces in $$\mathbb{R}^{n}$$ for Dirac Operators	2
Semiclassical Asymptotics on Stratified Manifolds	2
The Generalized Zhang’s Operator and Kastler–Kalau–Walze Type Theorems	2
On Exceptional Quadrics	2
On the Absence of a Propagation Front in the Cauchy Problem for a Certain Integro-Differential Equation with a Rabotnov Kernel	2
Trajectory Symbols and the Fredholm Property of Boundary Value Problems for Differential Operators with Shifts	2
Exact Asymptotics of the Fundamental Solution of a Degenerate Parabolic Equation with a Small Parameter	2
Hamiltonian Systems with a Functional Parameter in the Form of a Potential	2
On the Domain of Constancy of the Sign of a Harmonic Function in the Unit Disk with Additional Conditions on the Boundary	2
Semiclassical Asymptotics and Particle-Antiparticle Interactions for the Dirac Equations with Abruptly Varying 4-Potential	2
Magneto-Dimensional Resonance on Curved Surfaces	2
Probabilistic Degenerate Laguerre Polynomials with Random Variables	2
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
Asymptotics of Long Nonlinear Propagating Waves in a One-Dimensional Basin with Gentle Shores	2
On the Instability of Monotone Traveling-Wave Solutions for a Generalized Korteweg–de Vries–Burgers Equation	2
A Version of the Weyl Complete Reducibility Theorem for Not Necessarily Continuous Representations of Connected Lie Groups	2