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 2021-11-01 to 2025-11-01.)

Article	Citations
Box and Ball System with Numbered Boxes	26
On the KPZ Scaling and the KPZ Fixed Point for TASEP	12
Essential Self-Adjointness of the Laplacian on Weighted Graphs: Harmonic Functions, Stability, Characterizations and Capacity	10
Lusztig Factorization Dynamics of the Full Kostant–Toda Lattices	9
Limiting Spectral Distribution of Random Self-Adjoint Quantum Channels	9
On the Integrable Structure of Deformed Sine Kernel Determinants	9
Variation behind Modular Gaussian Curvature and Cyclic Structure	6
Edge Spectrum for Truncated $$\mathbb {Z}_2$$-Insulators	6
Fluctuation Relations Associated to an Arbitrary Bijection in Path Space	6
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
On Riemann Curvature of Spherically Symmetric Metrics	5
Bi-infinite Solutions for KdV- and Toda-Type Discrete Integrable Systems Based on Path Encodings	5
Møller Maps for Dirac Fields in External Backgrounds	5
The Ricci Curvature and the Normalized Ricci Flow on Generalized Wallach Spaces	5
Lattice Gauge Theory and a Random-Medium Ising Model	5
A $${\mathbb {Z}}_{2}$$-Topological Index for Quasi-Free Fermions	5
Sharp Interface Limit for a Quasi-linear Large Deviation Rate Function	4
Limit Theorems for Multi-group Curie–Weiss Models via the Method of Moments	4
Preface to the Special Issue “The Ising model at 100: some modern perspectives”	4
On the Resolvent of H+A$$^{*}$$+A	3
Dynamical Localization and Transport properties of Quantum Walks on the hexagonal lattice	3
Generating Function of q- and Elliptic Multiple Polylogarithms of Hurwitz Type	3
Umbilicity and the First Stability Eigenvalue of a Subclass of CMC Hypersurfaces Immersed in Certain Einstein Manifolds	3
On Quantum Optimal Transport	3

Weyl’s Laws and Connes’ Integration Formulas for Matrix-Valued $$L\!\log \!L$$-Orlicz Potentials	3
Stem and topological entropy on Cayley trees	3
Gibbs Measures for HC-Model with a Cuountable Set of Spin Values on a Cayley Tree	3
Some Non-periodic p-Adic Generalized Gibbs Measures for the Ising Model on a Cayley Tree of Order k	3
Conjugate Frobenius Manifold and Inversion Symmetry	3
Slit-Strip Ising Boundary Conformal Field Theory 1: Discrete and Continuous Function Spaces	2
On Bose–Einstein condensates in the Thomas–Fermi regime	2
Self-Adjointness of a Class of Multi-Spin–Boson Models with Ultraviolet Divergences	2
Phase Transitions and Percolation at Criticality in Enhanced Random Connection Models	2
Fluctuations of Eigenvalues of a Polynomial on Haar Unitary and Finite Rank Matrices	2
Equivariant Spectral Triples for Homogeneous Spaces of the Compact Quantum Group $$U_q(2)$$	2
Heisenberg Dynamics for Non Self-Adjoint Hamiltonians: Symmetries and Derivations	2
Quasilinear Systems of First Order PDEs with Nonlocal Hamiltonian Structures	2
A Novel Discrete Integrable System Related to Hyper-Elliptic Curves of Genus Two	2
Factorization Problems on Rational Loop Groups, and the Poisson Geometry of Yang-Baxter Maps	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
The 16th Hilbert Problem for Discontinuous Piecewise Linear Differential Systems Separated by the Algebraic Curve $$y=x^{n}$$	2
Matrix Solutions of the Cubic Szegő Equation on the Real Line	1
On the Global Minimum of the Energy–Momentum Relation for the Polaron	1
Nonrelativistic Limit of Generalized MIT Bag Models and Spectral Inequalities	1
Notions of Fermionic Entropies for Causal Fermion Systems	1
The Ising model: highlights and perspectives	1
Existence of Abelian BPS Vortices on Surfaces with Neumann Boundary Conditions	1
Geometric Analysis of Ising Models, Part III	1
Equality of Magnetization and Edge Current for Interacting Lattice Fermions at Positive Temperature	1
A Lax Formulation of a Generalized q-Garnier System	1
Trees and Superintegrable Lotka–Volterra Families	1
Propagation of Chaos and Residual Dependence in Gibbs Measures on Finite Sets	1
The Zeros of the Partition Function of the Pinning Model	1
Existence and Uniqueness of Solutions to Backward 2D and 3D Stochastic Convective Brinkman–Forchheimer Equations Forced by Lévy Noise	1
Existence of Schrödinger Evolution with Absorbing Boundary Condition	1
Convergence and an Explicit Formula for the Joint Moments of the Circular Jacobi $$\beta $$-Ensemble Characteristic Polynomial	1
Involutions of Halphen Pencils of Index 2 and Discrete Integrable Systems	1
A Remark on the Spherical Bipartite Spin Glass	1
Discrete, Continuous and Asymptotic for a Modified Singularly Gaussian Unitary Ensemble and the Smallest Eigenvalue of Its Large Hankel Matrices	1
Frobenius Manifolds on Orbits Spaces	1
Elliptic Solutions of the Toda Lattice with Constraint of Type B and Deformed Ruijsenaars–Schneider System	1
Consistency of the Bäcklund Transformation for the Spin Calogero–Moser System	1
KdV and mKdV Hierarchies and Schur Q-functions	1
Cover Times of the Massive Random Walk Loop Soup	1
On Real Hyperelliptic Solutions of Focusing Modified KdV Equation	1
Mean-field behavior of Nearest-Neighbor Oriented Percolation on the BCC Lattice Above 8 + 1 Dimensions	1
The Inverse Spectral Map for Dimers	1