OOIR: Observatory of International Research

Papers

(The median citation count of Russian Journal of Mathematical Physics is 1. 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 2022-08-01 to 2026-08-01.)

Article	Citations
On Semiclassical Asymptotics for Nonlocal Equations	53
Trace of the Resolvent of the Laplace Operator on a Metric Graph	43
A Series of Spectral Gaps for the Ganeshan–Pixley–Das Sarma Model	42
Maslov Rank Distributions for the Analysis of Two-Dimensional and Quasi-Two-Dimensional Turbulent Flows	34
Canonical Form of the Inertia Tensor for Rigid Bodies on the Lobachevskii Plane and in a Pseudo-Euclidean Space	33
Double-Deck Structure in a Fluid Flow Induced by a Uniformly Rotating Disk with Small Irregularities: the Nonsymmetric Case	25
Caricature of Hydrodynamics for the Harmonic Crystal Coupled to a Klein–Gordon Field	23
Solarity and Proximinality in Generalized Rational Approximation in Spaces $$C(Q)$$ and $$L^p$$	21
Coincidence of the Dimensions of First Countable Spaces with a Countable Network	17
Analytical Complexity and Signal Coding	17
Visually Smooth Non-Congruent Flat Simply Connected Domains That Are Numerically Dirichlet–Neumann Isospectral	16
Properties of Chebyshev Generalized Rational Fractions in $$L_1$$	14
The Thom Isomorphism in Gauge-Equivariant $$K$$-Theory of $$C^*$$-Bundles	13
Generalization of Spivey’s Recurrence Relation	12
On the Reconstruction from the Imaginary Part for Radiation Solutions in Two Dimensions	10
Stokes Phenomenon and Spectral Locus in a Problem of Singular Perturbation Theory	9
Singularities of Landau–Ginzburg Models for Complete Intersections and Derived Categories	9
Index of Inönü–Wigner Contractions of Semisimple Lie Algebras	9
Atiyah–Bott–Lefschetz Formula on Manifolds with Periodic Ends	8
Boundary-Value Problem for Singularly Perturbed Integro-Differential Equation with Singularly Perturbed Neumann Boundary Condition	8
On the Riccati Difference Equation and Continued Fractions	6
Functional-Difference Equations and Their Link with Perturbations of the Mehler Operator	6
On Perturbation of Thresholds in Essential Spectrum under Coexistence of Virtual Level and Spectral Singularity	6
Internal Transition Layer in Reaction-Diffusion System in Bounded Domains	6
A Formula of Atiyah–Bott–Lefschetz Type and Its Application to Operators with a Finite Group of Shifts	6

Double-Deck Structure of the Boundary Layer in the Flow Around a Small Localized Irregularity on a Curved Surface	5
Continuously Representable Topological Groups with Indecomposable Representations of Bounded Degree	5
Exponential Localization for Eigensections of the Bochner–Schrödinger operator	5
On an Extremal Gheit Function and Its Applications	5
Monotone Path-Connected Boundedly Weakly Compact Set is a Sun	5
On Degenerate Orbits of Real Lie Algebras in Multidimensional Complex Spaces	5
A Metric Graph for Which the Number of Possible End Positions of a Random Walk Grows Minimally	5
Some Identities Involving Degenerate Stirling Numbers Associated with Several Degenerate Polynomials and Numbers	5
$$\mathbb{Z}_{2}-$$Graded Lie Algebra of Quaternions and Superconformal Algebra in $$D=4$$ Dimensions	5
Remarks on the Determination of the Lorentzian Metric by the Lengths of Geodesics or Null-Geodesics	5
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
Periodic Cyclic Cocycles on the Boutet de Monvel Symbol Algebra	4
Achieving a Travelling Wave in a Hyperbolic Equation	4
Quantization of Branched Coverings Revisited	4
Normal Ordering Associated with $$\lambda$$-Whitney Numbers of the First Kind in $$\lambda$$-Shift Algebra	4
Geometry of Inhomogeneous Poisson Brackets, Multicomponent Harry Dym Hierarchies, and Multicomponent Hunter–Saxton Equations	4
The General Kastler–Kalau–Walze Type Theorem for the $$J$$-Twist $$D_{J}$$ of the Dirac Operator	4
Natural Volume Forms on Pseudo-Finslerian Manifolds with $$m$$th Root Metrics	4
On the Homogenization of Nonlocal Convolution Type Operators	4
On the Local Dynamics of an Equation with Two Large Proportional Delays	4
Semiclassical Asymptotics of the Solution to the Cauchy Problem for the Three-Dimensional Schrödinger Equation with a Point Potential	4
Radius Constants for Cesàro Operator of Analytic and Harmonic Functions in the Unit Disk	3
Remarks on an Integral Equation of Landau–Lifschitz Type	3
Classification of Singularities of Smooth Functions with a Finite Cyclic Symmetry Group	3
Probabilistic Degenerate Laguerre Polynomials with Random Variables	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	3
Existence and Asymptotic Stability of Solutions for Periodic Parabolic Problems in Tikhonov-Type Reaction–Diffusion–Advection Systems with KPZ Nonlinearities	3
Real Semiclassical Approximation for the Asymptotics of Jacobi Polynomials Given by a Difference Equation	3
Continuity Criterion for Locally Bounded Endomorphisms of Connected Reductive Lie Groups	3
Degenerate Whitney Numbers of First and Second Kind of Dowling Lattices	3
Inner Transition Layer in Solutions of the Discrete Painlevé II Equation	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 r-Bell Numbers and Coherent States	3
Rectilinear Vortex Thread in a Radially Nonhomogeneous Bingham Solid	3
An Inverse Spectral Problem for a Special Class of Band Matrices and Bogoyavlensky Lattice	2
Asymptotics of the Cauchy Problem for the One-Dimensional Schrödinger Equation with Rapidly Oscillating Initial Data and Small Addition to the Smooth Potential	2
Semiclassical Asymptotics and Particle-Antiparticle Interactions for the Dirac Equations with Abruptly Varying 4-Potential	2
Hamiltonian Systems with a Functional Parameter in the Form of a Potential	2
A Version of the Weyl Complete Reducibility Theorem for Not Necessarily Continuous Representations of Connected Lie Groups	2
Exact Asymptotics of the Fundamental Solution of a Degenerate Parabolic Equation with a Small Parameter	2
On the Domain of Constancy of the Sign of a Harmonic Function in the Unit Disk with Additional Conditions on the Boundary	2
Localized Chern Character and the index of Elliptic Operators Associated with Discrete Groups	2
Nonself-adjoint Three-Dimensional Operators with Point Interactions Supported by Curves	2
Convexity of Weakly Compact Sets in Normed Linear Spaces	2
Semiclassical Asymptotics on Stratified Manifolds	2
Riemann Theta Function Solutions to a Hierarchy of Integrable Semi-Discrete Equations	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

Trajectory Symbols and the Fredholm Property of Boundary Value Problems for Differential Operators with Shifts	2
On the Instability of Monotone Traveling-Wave Solutions for a Generalized Korteweg–de Vries–Burgers Equation	2
Asymptotic Multiscale Solutions to Navier–Stokes Equations with Fast Oscillating Perturbations in Boundary Layers	2
Resonances and Scattering by a Periodic Structure	2
Asymptotics of the Transfer Function of the Poincar$$\acute{\text{e}}$$–Steklov Operator for a Functionally Graded Elastic Layer	2
On Relationships between the Spectral Potential of Transfer Operators, $$\boldsymbol t$$-Entropy, Entropy and Topological Pressure	2
Orbits of the Action of the Gauge Group	2
Magneto-Dimensional Resonance on Curved Surfaces	2
On the Absence of a Propagation Front in the Cauchy Problem for a Certain Integro-Differential Equation with a Rabotnov Kernel	2
Method of Potential Operators for Interaction Problems on Unbounded Hypersurfaces in $$\mathbb{R}^{n}$$ for Dirac Operators	2
Abelian Theorems for the Wavelet Transform in Terms of the Fractional Hankel Transform	2
Inverse Semigroups of Metrics on Doubles Related to Certain Subsets	2
Asymptotics of the Whispering Gallery-Type in the Eigenproblem for the Laplacian in a Domain of Revolution Diffeomorphic To a Solid Torus	2
On the Coefficients of the Pearcey Function and Its Derivatives in a Representation of the Canonical Operator near a Cuspidal Caustic	2
On Operator Fields in an Upper Triangular Toeplitz Form	1
McLaughlin’s Inverse Problem for the Fourth-Order Differential Operator	1
Reflexivity for Spaces With Extended Norm	1
Bifurcations of Essential Spectra Generated by a Small Non-Hermitian Hole. II. Eigenvalues and Resonances	1
Action of Reduced Powers on the Homology of Products of Complex Projective Spaces and Products of Lens Spaces	1
To the Justification of the Effectiveness of Future Mathematics in the New Biology	1
Exploring Algebraic and Probabilistic Properties for Degenerate Bivariate Appell Polynomials	1
Integrable Perturbations of Polynomial Hamiltonian Systems	1
On the Homogenization of a Parabolic Equation with a Nonlocal Convolution Type Operator	1
Mapping Graph Homology to $$K$$-Theory of Roe Algebras	1
Trace Formulas for Schrödinger Operators on a Lattice	1
Asymptotics of the Solution of the Initial Boundary Value Problem for the One-Dimensional Klein–Gordon Equation with Variable Coefficients	1
Spivey-Type Recurrence Relations for Degenerate Bell and Dowling Polynomials	1
Short-Wave Solutions of the Wave Equation with Localized Velocity Perturbations Whose Wavelength Is Not Comparable to the Scale of Localized Inhomogeneity. One-Dimensional Case	1
Numerical-Asymptotic Method for Determining Nonlinear Thermal Conductivity Coefficients and Heat Fluxes and Applications in the Assessing the Thermophysical Characteristics of High-Temperature Fuel Co	1
On One Class of Vector Continued Fractions with Operator Elements and the Jacobi–Perron Algorithm	1
Brinkman’s Filtration Law and the Stability of the Water-Over-Vapor Systems in Geothermal Reservoirs	1
Efficient Semiclassical Asymptotics with Simple Caustics in a Boundary Value Problem	1
Keplerian Trajectories and an Asymptotic Solution of the Schrödinger Equation with Repulsive Coulomb Potential and Localized Right-Hand Side	1
Convexity and Concavity of $$\boldsymbol f$$-Potentials (Kolmogorov Means)	1
On Homogenization for Piecewise Locally Periodic Operators	1
Properties of an Operator Describing Acoustic Black Holes	1
Hyperbolic Property of a Linear Volterra Integro-Differential Operator in Problems of Oscillations of a Viscoelastic Rod	1
The Discontinuity Group of a Locally Bounded Homomorphism of a Connected Lie Group into a Connected Lie Group Is Commutative	1
On the Phase Spaces for a Class of Boundary-Degenerate Equations	1
Heterogeneous Stirling Numbers and Heterogeneous Bell Polynomials	1
Multi-Scaled Short-Wave Asymptotic Solution of the Cauchy Problem to One-Dimensional Wave Equation with Smoothed Jump of the Velocity	1
Nonlocal de Sitter $$\sqrt{dS}$$ Gravity Model and Its Applications	1
Extension of Unitary Characters from the Radical of a Connected Locally Compact Group to a One-Dimensional Pure Pseudorepresentation of the Group	1
Identification of the Potential Coefficient in the Schrödinger Equation with Incomplete Initial Conditions from a Boundary Observation	1
Upper Bounds for Steklov Eigenvalues of a Hypersurface of Revolution	1
Extension of Characters from the Radical of a Connected Lie Group to a One-Dimensional Pure Pseudorepresentation of the Group Revisited	1
Abel Integral Equation in the Reconstruction of the Helical Magnetic Field Structure by the Polarized Synchrotron Radiation of AGN Jet	1
Global Asymptotics for Functions of Parabolic Cylinder and Solutions of the Schrödinger Equation with a Potential in the Form of a Nonsmooth Double Well	1
Almost Differentially Nondegenerate Nijenhuis Operators	1
Points of Monotone Connectedness and Solar Properties of Sets	1
Triviality Theorem for Quasirepresentations in Reflexive Banach Spaces	1
Classification of Singularities of the Liouville Foliation of an Integrable Elliptical Billiard with a Potential of Fourth Degree	1