OOIR: Observatory of International Research

Papers

(The median citation count of Mathematical Physics Analysis and Geometry 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 2021-06-01 to 2025-06-01.)

Article	Citations
From Auto-Bäcklund Transformations to Auto-Bäcklund Transformations, and Torqued ABS Equations	21
Box and Ball System with Numbered Boxes	11
On the KPZ Scaling and the KPZ Fixed Point for TASEP	11
Limiting Spectral Distribution of Random Self-Adjoint Quantum Channels	9
On the Integrable Structure of Deformed Sine Kernel Determinants	8
Essential Self-Adjointness of the Laplacian on Weighted Graphs: Harmonic Functions, Stability, Characterizations and Capacity	7
Kahan Discretizations of Skew-Symmetric Lotka-Volterra Systems and Poisson Maps	6
Recurrence Relations for the Generalized Laguerre and Charlier Orthogonal Polynomials and Discrete Painlevé Equations on the $$D_{6}^{(1)}$$ Sakai Surface	6
Lusztig Factorization Dynamics of the Full Kostant–Toda Lattices	6
Møller Maps for Dirac Fields in External Backgrounds	5
On Riemann Curvature of Spherically Symmetric Metrics	5
The Ricci Curvature and the Normalized Ricci Flow on Generalized Wallach Spaces	5
A Microlocal Investigation of Stochastic Partial Differential Equations for Spinors with an Application to the Thirring Model	5
Lattice Gauge Theory and a Random-Medium Ising Model	5
Limit Theorems for Multi-group Curie–Weiss Models via the Method of Moments	4
Sharp Interface Limit for a Quasi-linear Large Deviation Rate Function	4
On Quantum Optimal Transport	4
Solution of the System of Two Coupled First-Order ODEs with Second-Degree Polynomial Right-Hand Sides	4
Bi-infinite Solutions for KdV- and Toda-Type Discrete Integrable Systems Based on Path Encodings	4
Gibbs Measures for HC-Model with a Cuountable Set of Spin Values on a Cayley Tree	4
Some Non-periodic p-Adic Generalized Gibbs Measures for the Ising Model on a Cayley Tree of Order k	4
A $${\mathbb {Z}}_{2}$$-Topological Index for Quasi-Free Fermions	4
On the Prequantisation Map for 2-Plectic Manifolds	4
On the Resolvent of H+A$$^{*}$$+A	3
Weyl’s Laws and Connes’ Integration Formulas for Matrix-Valued $$L\!\log \!L$$-Orlicz Potentials	3

Conjugate Frobenius Manifold and Inversion Symmetry	3
Asymptotic Behavior of Density in the Boundary-Driven Exclusion Process on the Sierpinski Gasket	3
Umbilicity and the First Stability Eigenvalue of a Subclass of CMC Hypersurfaces Immersed in Certain Einstein Manifolds	3
Generating Function of q- and Elliptic Multiple Polylogarithms of Hurwitz Type	3
Factorization Problems on Rational Loop Groups, and the Poisson Geometry of Yang-Baxter Maps	3
Stem and topological entropy on Cayley trees	2
Long Time Asymptotic Behavior for the Nonlocal mKdV Equation in Solitonic Space–Time Regions	2
Quasilinear Systems of First Order PDEs with Nonlocal Hamiltonian Structures	2
Phase Transitions and Percolation at Criticality in Enhanced Random Connection Models	2
The 16th Hilbert Problem for Discontinuous Piecewise Linear Differential Systems Separated by the Algebraic Curve $$y=x^{n}$$	2
Equivariant Spectral Triples for Homogeneous Spaces of the Compact Quantum Group $$U_q(2)$$	2
On Bose–Einstein condensates in the Thomas–Fermi regime	2
Convergence and an Explicit Formula for the Joint Moments of the Circular Jacobi $$\beta $$-Ensemble Characteristic Polynomial	2
Sharpness of the Phase Transition for the Orthant Model	2
Density of States and Lifshitz Tails for Discrete 1D Random Dirac Operators	2
A Novel Discrete Integrable System Related to Hyper-Elliptic Curves of Genus Two	2
Slit-Strip Ising Boundary Conformal Field Theory 1: Discrete and Continuous Function Spaces	2
Self-Adjointness of a Class of Multi-Spin–Boson Models with Ultraviolet Divergences	2
J-Trajectories in 4-Dimensional Solvable Lie Group $$\mathrm {Sol}_0^4$$	2
Convergence of Discrete Period Matrices and Discrete Holomorphic Integrals for Ramified Coverings of the Riemann Sphere	2
Heisenberg Dynamics for Non Self-Adjoint Hamiltonians: Symmetries and Derivations	2
Elliptic Solutions of the Toda Lattice with Constraint of Type B and Deformed Ruijsenaars–Schneider System	1
Sums of Two-Parameter Deformations of Multiple Polylogarithms	1
Mean-field behavior of Nearest-Neighbor Oriented Percolation on the BCC Lattice Above 8 + 1 Dimensions	1
Solitons for the Modified Camassa-Holm Equation and their Interactions Via Dressing Method	1
Equality of Magnetization and Edge Current for Interacting Lattice Fermions at Positive Temperature	1
Notions of Fermionic Entropies for Causal Fermion Systems	1
A Lax Formulation of a Generalized q-Garnier System	1
Discrete mKdV Equation via Darboux Transformation	1
Bilinear Equation and Additional Symmetries for an Extension of the Kadomtsev–Petviashvili Hierarchy	1
New Condition on Uniqueness of Gibbs Measure for Models with Uncountable Set of Spin Values on a Cayley Tree	1
Nonrelativistic Limit of Generalized MIT Bag Models and Spectral Inequalities	1
Existence and Uniqueness of Solutions to Backward 2D and 3D Stochastic Convective Brinkman–Forchheimer Equations Forced by Lévy Noise	1
Cover Times of the Massive Random Walk Loop Soup	1
On Real Hyperelliptic Solutions of Focusing Modified KdV Equation	1
KdV and mKdV Hierarchies and Schur Q-functions	1
Consistency of the Bäcklund Transformation for the Spin Calogero–Moser System	1
Frobenius Manifolds on Orbits Spaces	1
On the Global Minimum of the Energy–Momentum Relation for the Polaron	1
The Zeros of the Partition Function of the Pinning Model	1
A Remark on the Spherical Bipartite Spin Glass	1
Involutions of Halphen Pencils of Index 2 and Discrete Integrable Systems	1
Fundamental solutions and Hadamard states for a scalar field with arbitrary boundary conditions on an asymptotically AdS spacetimes	1
Wegner Estimate for Random Divergence-Type Operators Monotone in the Randomness	1
Discrete, Continuous and Asymptotic for a Modified Singularly Gaussian Unitary Ensemble and the Smallest Eigenvalue of Its Large Hankel Matrices	1
The Inverse Spectral Map for Dimers	1