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 2021-05-01 to 2025-05-01.)

Article	Citations
From Auto-Bäcklund Transformations to Auto-Bäcklund Transformations, and Torqued ABS Equations	21
Box and Ball System with Numbered Boxes	9
Renormalization in Combinatorially Non-Local Field Theories: The Hopf Algebra of 2-Graphs	9
On the KPZ Scaling and the KPZ Fixed Point for TASEP	9
Limiting Spectral Distribution of Random Self-Adjoint Quantum Channels	8
Kahan Discretizations of Skew-Symmetric Lotka-Volterra Systems and Poisson Maps	7
On the Integrable Structure of Deformed Sine Kernel Determinants	7
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
Topological Decompositions of the Pauli Group and their Influence on Dynamical Systems	6
On Riemann Curvature of Spherically Symmetric Metrics	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
Møller Maps for Dirac Fields in External Backgrounds	5
Limit Theorems for Multi-group Curie–Weiss Models via the Method of Moments	4
Bi-infinite Solutions for KdV- and Toda-Type Discrete Integrable Systems Based on Path Encodings	4
Generating Function of q- and Elliptic Multiple Polylogarithms of Hurwitz Type	4
A $${\mathbb {Z}}_{2}$$-Topological Index for Quasi-Free Fermions	4
On Quantum Optimal Transport	4
Gibbs Measures for HC-Model with a Cuountable Set of Spin Values on a Cayley Tree	4
On the Resolvent of H+A$$^{*}$$+A	4
Solution of the System of Two Coupled First-Order ODEs with Second-Degree Polynomial Right-Hand Sides	4
Some Non-periodic p-Adic Generalized Gibbs Measures for the Ising Model on a Cayley Tree of Order k	4
Asymptotic Behavior of Density in the Boundary-Driven Exclusion Process on the Sierpinski Gasket	4
On the Prequantisation Map for 2-Plectic Manifolds	4

Sharp Interface Limit for a Quasi-linear Large Deviation Rate Function	4
Weyl’s Laws and Connes’ Integration Formulas for Matrix-Valued $$L\!\log \!L$$-Orlicz Potentials	3
Slit-Strip Ising Boundary Conformal Field Theory 1: Discrete and Continuous Function Spaces	3
Factorization Problems on Rational Loop Groups, and the Poisson Geometry of Yang-Baxter Maps	3
Umbilicity and the First Stability Eigenvalue of a Subclass of CMC Hypersurfaces Immersed in Certain Einstein Manifolds	3
Stem and topological entropy on Cayley trees	3
Conjugate Frobenius Manifold and Inversion Symmetry	3
Equivariant Spectral Triples for Homogeneous Spaces of the Compact Quantum Group $$U_q(2)$$	3
Long-Time Asymptotics for the Focusing Hirota Equation with Non-Zero Boundary Conditions at Infinity Via the Deift-Zhou Approach	2
Self-Adjointness of a Class of Multi-Spin–Boson Models with Ultraviolet Divergences	2
A Novel Discrete Integrable System Related to Hyper-Elliptic Curves of Genus Two	2
Convergence and an Explicit Formula for the Joint Moments of the Circular Jacobi $$\beta $$-Ensemble Characteristic Polynomial	2
Fundamental solutions and Hadamard states for a scalar field with arbitrary boundary conditions on an asymptotically AdS spacetimes	2
Sharpness of the Phase Transition for the Orthant Model	2
Long Time Asymptotic Behavior for the Nonlocal mKdV Equation in Solitonic Space–Time Regions	2
J-Trajectories in 4-Dimensional Solvable Lie Group $$\mathrm {Sol}_0^4$$	2
Phase Transitions and Percolation at Criticality in Enhanced Random Connection Models	2
Convergence of Discrete Period Matrices and Discrete Holomorphic Integrals for Ramified Coverings of the Riemann Sphere	2
On Real Hyperelliptic Solutions of Focusing Modified KdV Equation	2
Quasilinear Systems of First Order PDEs with Nonlocal Hamiltonian Structures	2
On Bose–Einstein condensates in the Thomas–Fermi regime	2
Heisenberg Dynamics for Non Self-Adjoint Hamiltonians: Symmetries and Derivations	2
The 16th Hilbert Problem for Discontinuous Piecewise Linear Differential Systems Separated by the Algebraic Curve $$y=x^{n}$$	2
Density of States and Lifshitz Tails for Discrete 1D Random Dirac Operators	2
Involutions of Halphen Pencils of Index 2 and Discrete Integrable Systems	2
Bilinear Equation and Additional Symmetries for an Extension of the Kadomtsev–Petviashvili Hierarchy	1
On the Global Minimum of the Energy–Momentum Relation for the Polaron	1
Consistency of the Bäcklund Transformation for the Spin Calogero–Moser System	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
Sums of Two-Parameter Deformations of Multiple Polylogarithms	1
Wegner Estimate for Random Divergence-Type Operators Monotone in the Randomness	1
Trees and Superintegrable Lotka–Volterra Families	1
Frobenius Manifolds on Orbits Spaces	1
New Condition on Uniqueness of Gibbs Measure for Models with Uncountable Set of Spin Values on a Cayley Tree	1
The Inverse Spectral Map for Dimers	1
A Lax Formulation of a Generalized q-Garnier System	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
A Remark on the Spherical Bipartite Spin Glass	1
Elliptic Solutions of the Toda Lattice with Constraint of Type B and Deformed Ruijsenaars–Schneider System	1
Discrete, Continuous and Asymptotic for a Modified Singularly Gaussian Unitary Ensemble and the Smallest Eigenvalue of Its Large Hankel Matrices	1
Complex Creation Operator and Planar Automorphic Functions	1
Nonrelativistic Limit of Generalized MIT Bag Models and Spectral Inequalities	1
Notions of Fermionic Entropies for Causal Fermion Systems	1
KdV and mKdV Hierarchies and Schur Q-functions	1
Equality of Magnetization and Edge Current for Interacting Lattice Fermions at Positive Temperature	1
The Zeros of the Partition Function of the Pinning Model	1
Propagation of Chaos and Residual Dependence in Gibbs Measures on Finite Sets	1
Discrete mKdV Equation via Darboux Transformation	1