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 2021-09-01 to 2025-09-01.)

Article	Citations
Essential Self-Adjointness of the Laplacian on Weighted Graphs: Harmonic Functions, Stability, Characterizations and Capacity	26
Box and Ball System with Numbered Boxes	11
On the KPZ Scaling and the KPZ Fixed Point for TASEP	9
Limiting Spectral Distribution of Random Self-Adjoint Quantum Channels	9
From Auto-Bäcklund Transformations to Auto-Bäcklund Transformations, and Torqued ABS Equations	8
On the Integrable Structure of Deformed Sine Kernel Determinants	8
A Microlocal Investigation of Stochastic Partial Differential Equations for Spinors with an Application to the Thirring Model	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
Variation behind Modular Gaussian Curvature and Cyclic Structure	5
The Ricci Curvature and the Normalized Ricci Flow on Generalized Wallach Spaces	5
Edge Spectrum for Truncated $$\mathbb {Z}_2$$-Insulators	5
On Riemann Curvature of Spherically Symmetric Metrics	5
Møller Maps for Dirac Fields in External Backgrounds	5
Lattice Gauge Theory and a Random-Medium Ising Model	5
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 Quantum Optimal Transport	4
Sharp Interface Limit for a Quasi-linear Large Deviation Rate Function	4
Gibbs Measures for HC-Model with a Cuountable Set of Spin Values on a Cayley Tree	4
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
Weyl’s Laws and Connes’ Integration Formulas for Matrix-Valued $$L\!\log \!L$$-Orlicz Potentials	3
Stem and topological entropy on Cayley trees	3
Factorization Problems on Rational Loop Groups, and the Poisson Geometry of Yang-Baxter Maps	3

Conjugate Frobenius Manifold and Inversion Symmetry	3
Generating Function of q- and Elliptic Multiple Polylogarithms of Hurwitz Type	3
Equivariant Spectral Triples for Homogeneous Spaces of the Compact Quantum Group $$U_q(2)$$	3
On the Resolvent of H+A$$^{*}$$+A	3
Umbilicity and the First Stability Eigenvalue of a Subclass of CMC Hypersurfaces Immersed in Certain Einstein Manifolds	3
Slit-Strip Ising Boundary Conformal Field Theory 1: Discrete and Continuous Function Spaces	3
On Bose–Einstein condensates in the Thomas–Fermi regime	2
Quasilinear Systems of First Order PDEs with Nonlocal Hamiltonian Structures	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
Sharpness of the Phase Transition for the Orthant Model	2
Heisenberg Dynamics for Non Self-Adjoint Hamiltonians: Symmetries and Derivations	2
A Novel Discrete Integrable System Related to Hyper-Elliptic Curves of Genus Two	2
Self-Adjointness of a Class of Multi-Spin–Boson Models with Ultraviolet Divergences	2
The 16th Hilbert Problem for Discontinuous Piecewise Linear Differential Systems Separated by the Algebraic Curve $$y=x^{n}$$	2
On Real Hyperelliptic Solutions of Focusing Modified KdV Equation	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 and an Explicit Formula for the Joint Moments of the Circular Jacobi $$\beta $$-Ensemble Characteristic Polynomial	2
Equality of Magnetization and Edge Current for Interacting Lattice Fermions at Positive Temperature	2
Complex Creation Operator and Planar Automorphic Functions	1
On the Global Minimum of the Energy–Momentum Relation for the Polaron	1
Frobenius Manifolds on Orbits Spaces	1
Notions of Fermionic Entropies for Causal Fermion Systems	1
KdV and mKdV Hierarchies and Schur Q-functions	1
Cover Times of the Massive Random Walk Loop Soup	1
Sums of Two-Parameter Deformations of Multiple Polylogarithms	1
Trees and Superintegrable Lotka–Volterra Families	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
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
The Ising model: highlights and perspectives	1
The Zeros of the Partition Function of the Pinning Model	1
Nonrelativistic Limit of Generalized MIT Bag Models and Spectral Inequalities	1
Propagation of Chaos and Residual Dependence in Gibbs Measures on Finite Sets	1
Matrix Solutions of the Cubic Szegő Equation on the Real Line	1
New Condition on Uniqueness of Gibbs Measure for Models with Uncountable Set of Spin Values on a Cayley Tree	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
Solitons for the Modified Camassa-Holm Equation and their Interactions Via Dressing Method	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