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 2021-04-01 to 2025-04-01.)

Article	Citations
Wegner Estimate for Random Divergence-Type Operators Monotone in the Randomness	19
From Auto-Bäcklund Transformations to Auto-Bäcklund Transformations, and Torqued ABS Equations	9
Phase Transitions and Percolation at Criticality in Enhanced Random Connection Models	9
Limit Theorems for Multi-group Curie–Weiss Models via the Method of Moments	9
Sharpness of the Phase Transition for the Orthant Model	8
The Zeros of the Partition Function of the Pinning Model	7
Renormalization in Combinatorially Non-Local Field Theories: The Hopf Algebra of 2-Graphs	6
Extensions and Generalizations of Lattice Gelfand–Dickey Hierarchy	6
Fundamental solutions and Hadamard states for a scalar field with arbitrary boundary conditions on an asymptotically AdS spacetimes	6
Sums of Two-Parameter Deformations of Multiple Polylogarithms	5
A Lax Formulation of a Generalized q-Garnier System	5
Convergence of Discrete Period Matrices and Discrete Holomorphic Integrals for Ramified Coverings of the Riemann Sphere	5
Box and Ball System with Numbered Boxes	4
Regularising Transformations for Complex Differential Equations with Movable Algebraic Singularities	4
Consistency of the Bäcklund Transformation for the Spin Calogero–Moser System	4
On the Integrability of a Four-Prototype Rössler System	4
Surgery Transformations and Spectral Estimates of $$\delta $$ Beam Operators	4
On the KPZ Scaling and the KPZ Fixed Point for TASEP	4
Density of States and Lifshitz Tails for Discrete 1D Random Dirac Operators	4
Index of Bipolar Surfaces to Otsuki Tori	4
Integrable System on Minimal Nilpotent Orbit	4
Limiting Spectral Distribution of Random Self-Adjoint Quantum Channels	4
Convergence and an Explicit Formula for the Joint Moments of the Circular Jacobi $$\beta $$-Ensemble Characteristic Polynomial	3
Topological Decompositions of the Pauli Group and their Influence on Dynamical Systems	3
Relative Entropy of Fermion Excitation States on the CAR Algebra	3

The BCS Critical Temperature at High Density	3
Braided Hopf algebras and gauge transformations	3
Lipschitz-Type Estimate for the Frog Model with Bernoulli Initial Configuration	3
The 16th Hilbert Problem for Discontinuous Piecewise Linear Differential Systems Separated by the Algebraic Curve $$y=x^{n}$$	3
On the Integrable Structure of Deformed Sine Kernel Determinants	3
New Condition on Uniqueness of Gibbs Measure for Models with Uncountable Set of Spin Values on a Cayley Tree	3
On Quantum Optimal Transport	2
Lusztig Factorization Dynamics of the Full Kostant–Toda Lattices	2
Bilinear Equation and Additional Symmetries for an Extension of the Kadomtsev–Petviashvili Hierarchy	2
On Real Hyperelliptic Solutions of Focusing Modified KdV Equation	2
Recurrence Relations for the Generalized Laguerre and Charlier Orthogonal Polynomials and Discrete Painlevé Equations on the $$D_{6}^{(1)}$$ Sakai Surface	2
The Inverse Spectral Map for Dimers	2
Frobenius Manifolds on Orbits Spaces	2
On the Global Minimum of the Energy–Momentum Relation for the Polaron	2
Elliptic Solutions of the Toda Lattice with Constraint of Type B and Deformed Ruijsenaars–Schneider System	2
Nonrelativistic Limit of Generalized MIT Bag Models and Spectral Inequalities	2
On the Prequantisation Map for 2-Plectic Manifolds	2
Some Non-periodic p-Adic Generalized Gibbs Measures for the Ising Model on a Cayley Tree of Order k	2
Kahan Discretizations of Skew-Symmetric Lotka-Volterra Systems and Poisson Maps	2
Involutions of Halphen Pencils of Index 2 and Discrete Integrable Systems	2
Levi–Civita Connections on Quantum Spheres	2
Multicritical Schur Measures and Higher-Order Analogues of the Tracy–Widom Distribution	2
Tau-Function of the Multi-component CKP Hierarchy	2
Propagation of Chaos and Residual Dependence in Gibbs Measures on Finite Sets	1
Generating Function of q- and Elliptic Multiple Polylogarithms of Hurwitz Type	1
Factorization Problems on Rational Loop Groups, and the Poisson Geometry of Yang-Baxter Maps	1
Discrete, Continuous and Asymptotic for a Modified Singularly Gaussian Unitary Ensemble and the Smallest Eigenvalue of Its Large Hankel Matrices	1
Conjugate Frobenius Manifold and Inversion Symmetry	1
Weyl’s Laws and Connes’ Integration Formulas for Matrix-Valued $$L\!\log \!L$$-Orlicz Potentials	1
Equality of Magnetization and Edge Current for Interacting Lattice Fermions at Positive Temperature	1
Gauge Symmetries and Renormalization	1
Constant Mean Curvature Surfaces Based on Fundamental Quadrilaterals	1
Matrix Solutions of the Cubic Szegő Equation on the Real Line	1
Prolongations of Convenient Lie Algebroids	1
Quasi-free Isomorphisms of Second Quantization Algebras and Modular Theory	1
Complex Creation Operator and Planar Automorphic Functions	1
Discrete mKdV Equation via Darboux Transformation	1
Stem and topological entropy on Cayley trees	1
Trees and Superintegrable Lotka–Volterra Families	1
Iterated Foldings of Discrete Spaces and Their Limits: Candidates for the Role of Brownian Map in Higher Dimensions	1
A Comparison of Two Quantum Distances	1
Umbilicity and the First Stability Eigenvalue of a Subclass of CMC Hypersurfaces Immersed in Certain Einstein Manifolds	1
On the Resolvent of H+A$$^{*}$$+A	1
Asymptotic Behavior of Density in the Boundary-Driven Exclusion Process on the Sierpinski Gasket	1
Gibbs Measures for HC-Model with a Cuountable Set of Spin Values on a Cayley Tree	1
A Microlocal Investigation of Stochastic Partial Differential Equations for Spinors with an Application to the Thirring Model	1
Slit-Strip Ising Boundary Conformal Field Theory 1: Discrete and Continuous Function Spaces	1
Møller Maps for Dirac Fields in External Backgrounds	1