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 2021-03-01 to 2025-03-01.)

Article	Citations
Wegner Estimate for Random Divergence-Type Operators Monotone in the Randomness	19
Limit Theorems for Multi-group Curie–Weiss Models via the Method of Moments	9
Phase Transitions and Percolation at Criticality in Enhanced Random Connection Models	9
Sharpness of the Phase Transition for the Orthant Model	9
Sticky Brownian Motions and a Probabilistic Solution to a Two-Point Boundary Value Problem	9
Fundamental solutions and Hadamard states for a scalar field with arbitrary boundary conditions on an asymptotically AdS spacetimes	8
The Zeros of the Partition Function of the Pinning Model	8
Extensions and Generalizations of Lattice Gelfand–Dickey Hierarchy	8
Renormalization in Combinatorially Non-Local Field Theories: The Hopf Algebra of 2-Graphs	7
Sums of Two-Parameter Deformations of Multiple Polylogarithms	6
Convergence of Discrete Period Matrices and Discrete Holomorphic Integrals for Ramified Coverings of the Riemann Sphere	6
A Lax Formulation of a Generalized q-Garnier System	6
Surgery Transformations and Spectral Estimates of $$\delta $$ Beam Operators	5
Box and Ball System with Numbered Boxes	5
Density of States and Lifshitz Tails for Discrete 1D Random Dirac Operators	5
Regularising Transformations for Complex Differential Equations with Movable Algebraic Singularities	4
Relative Entropy of Fermion Excitation States on the CAR Algebra	4
The 16th Hilbert Problem for Discontinuous Piecewise Linear Differential Systems Separated by the Algebraic Curve $$y=x^{n}$$	4
Consistency of the Bäcklund Transformation for the Spin Calogero–Moser System	4
Limiting Spectral Distribution of Random Self-Adjoint Quantum Channels	4
On the Integrability of a Four-Prototype Rössler System	4
Convergence and an Explicit Formula for the Joint Moments of the Circular Jacobi $$\beta $$-Ensemble Characteristic Polynomial	4
Index of Bipolar Surfaces to Otsuki Tori	4
Integrable System on Minimal Nilpotent Orbit	4
On the KPZ Scaling and the KPZ Fixed Point for TASEP	4

Non-Abelian Evolution Systems with Conservation Laws	4
Lipschitz-Type Estimate for the Frog Model with Bernoulli Initial Configuration	3
From Auto-Bäcklund Transformations to Auto-Bäcklund Transformations, and Torqued ABS Equations	3
On Quantum Optimal Transport	3
Frobenius Manifolds on Orbits Spaces	3
Braided Hopf algebras and gauge transformations	3
On the Integrable Structure of Deformed Sine Kernel Determinants	3
Manin Involutions for Elliptic Pencils and Discrete Integrable Systems	3
Topological Decompositions of the Pauli Group and their Influence on Dynamical Systems	3
The BCS Critical Temperature at High Density	3
New Condition on Uniqueness of Gibbs Measure for Models with Uncountable Set of Spin Values on a Cayley Tree	3
Lax Pairs for the Discrete Reduced Nahm Systems	3
Kahan Discretizations of Skew-Symmetric Lotka-Volterra Systems and Poisson Maps	2
Involutions of Halphen Pencils of Index 2 and Discrete Integrable Systems	2
Elliptic Solutions of the Toda Lattice with Constraint of Type B and Deformed Ruijsenaars–Schneider System	2
Levi–Civita Connections on Quantum Spheres	2
Tau-Function of the Multi-component CKP Hierarchy	2
Discrete mKdV Equation via Darboux Transformation	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
Multicritical Schur Measures and Higher-Order Analogues of the Tracy–Widom Distribution	2
Gibbs Measures for HC-Model with a Cuountable Set of Spin Values on a Cayley Tree	2
Nonrelativistic Limit of Generalized MIT Bag Models and Spectral Inequalities	2
The Inverse Spectral Map for Dimers	2
On the Global Minimum of the Energy–Momentum Relation for the Polaron	2
Some Non-periodic p-Adic Generalized Gibbs Measures for the Ising Model on a Cayley Tree of Order k	2
Umbilicity and the First Stability Eigenvalue of a Subclass of CMC Hypersurfaces Immersed in Certain Einstein Manifolds	2
On the Prequantisation Map for 2-Plectic Manifolds	2
Asymptotic Behavior of Density in the Boundary-Driven Exclusion Process on the Sierpinski Gasket	2
Factorization Problems on Rational Loop Groups, and the Poisson Geometry of Yang-Baxter Maps	1
Two-Term Asymptotics of the Exchange Energy of the Electron Gas on Symmetric Polytopes in the High-Density Limit	1
KdV and mKdV Hierarchies and Schur Q-functions	1
Slit-Strip Ising Boundary Conformal Field Theory 1: Discrete and Continuous Function Spaces	1
Iterated Foldings of Discrete Spaces and Their Limits: Candidates for the Role of Brownian Map in Higher Dimensions	1
A Microlocal Investigation of Stochastic Partial Differential Equations for Spinors with an Application to the Thirring Model	1
Quasi-free Isomorphisms of Second Quantization Algebras and Modular Theory	1
Stem and topological entropy on Cayley trees	1
On the Resolvent of H+A$$^{*}$$+A	1
Møller Maps for Dirac Fields in External Backgrounds	1
Cover Times of the Massive Random Walk Loop Soup	1
Constant Mean Curvature Surfaces Based on Fundamental Quadrilaterals	1
A Comparison of Two Quantum Distances	1
Integrable Systems of Finite Type from F-Cohomological Field Theories Without Unit	1
Trees and Superintegrable Lotka–Volterra Families	1
Weyl’s Laws and Connes’ Integration Formulas for Matrix-Valued $$L\!\log \!L$$-Orlicz Potentials	1
Complex Creation Operator and Planar Automorphic Functions	1
Conjugate Frobenius Manifold and Inversion Symmetry	1
Cluster Expansion for the Ising Model in the Canonical Ensemble	1
On Tsallis and Kaniadakis Divergences	1

Equivariant Spectral Triples for Homogeneous Spaces of the Compact Quantum Group $$U_q(2)$$	1
Solitons for the Modified Camassa-Holm Equation and their Interactions Via Dressing Method	1
Gauge Symmetries and Renormalization	1
Generating Function of q- and Elliptic Multiple Polylogarithms of Hurwitz Type	1
Equality of Magnetization and Edge Current for Interacting Lattice Fermions at Positive Temperature	1
Discrete, Continuous and Asymptotic for a Modified Singularly Gaussian Unitary Ensemble and the Smallest Eigenvalue of Its Large Hankel Matrices	1
Prolongations of Convenient Lie Algebroids	1