OOIR: Observatory of International Research

Papers

(The median citation count of Mathematical Physics Analysis and Geometry is 0. 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 2022-05-01 to 2026-05-01.)

Article	Citations
Essential Self-Adjointness of the Laplacian on Weighted Graphs: Harmonic Functions, Stability, Characterizations and Capacity	11
On the KPZ Scaling and the KPZ Fixed Point for TASEP	11
Limiting Spectral Distribution of Random Self-Adjoint Quantum Channels	11
Lusztig Factorization Dynamics of the Full Kostant–Toda Lattices	8
On the Integrable Structure of Deformed Sine Kernel Determinants	8
Recurrence Relations for the Generalized Laguerre and Charlier Orthogonal Polynomials and Discrete Painlevé Equations on the $$D_{6}^{(1)}$$ Sakai Surface	7
Decay of Connection Probability in High-Dimensional Continuum Percolation	6
Møller Maps for Dirac Fields in External Backgrounds	6
A Microlocal Investigation of Stochastic Partial Differential Equations for Spinors with an Application to the Thirring Model	6
Variation behind Modular Gaussian Curvature and Cyclic Structure	6
Fluctuation Relations Associated to an Arbitrary Bijection in Path Space	6
Edge Spectrum for Truncated $$\mathbb {Z}_2$$-Insulators	6
On Riemann Curvature of Spherically Symmetric Metrics	5
The Ricci Curvature and the Normalized Ricci Flow on Generalized Wallach Spaces	5
On the Structure of Compact Static Vacuum Spaces and Positive Isotropic Curvature	4
Bi-infinite Solutions for KdV- and Toda-Type Discrete Integrable Systems Based on Path Encodings	4
Sharp Interface Limit for a Quasi-linear Large Deviation Rate Function	3
Dynamical Localization and Transport properties of Quantum Walks on the hexagonal lattice	3
Some Non-periodic p-Adic Generalized Gibbs Measures for the Ising Model on a Cayley Tree of Order k	3
Flow Lines on the Moduli Space of Rank 2 Twisted Higgs Bundles	3
Limit Theorems for Multi-group Curie–Weiss Models via the Method of Moments	3
Preface to the Special Issue “The Ising model at 100: some modern perspectives”	3
Generating Function of q- and Elliptic Multiple Polylogarithms of Hurwitz Type	3
On the Resolvent of H+A$$^{*}$$+A	3
Lattice Gauge Theory and a Random-Medium Ising Model	3

Some Results on Calibrated Submanifolds in Euclidean Space of Cohomogeneity One and Two	3
On Quantum Optimal Transport	3
Conjugate Frobenius Manifold and Inversion Symmetry	3
Multidimensional Multiplicative Poisson Vertex Algebras	2
Integrable Deformations of Cluster Maps of Type $$D_{2N}$$	2
Equivariant Spectral Triples for Homogeneous Spaces of the Compact Quantum Group $$U_q(2)$$	2
On Bose–Einstein condensates in the Thomas–Fermi regime	2
Quasilinear Systems of First Order PDEs with Nonlocal Hamiltonian Structures	2
Discrete Nonlinear Schrödinger Type Equations: Solutions and Continuum Limits	2
Fluctuations of Eigenvalues of a Polynomial on Haar Unitary and Finite Rank Matrices	2
Umbilicity and the First Stability Eigenvalue of a Subclass of CMC Hypersurfaces Immersed in Certain Einstein Manifolds	2
Long Time Asymptotic Behavior for the Nonlocal mKdV Equation in Solitonic Space–Time Regions	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
On Compact $$\eta $$-Ricci-Bourguignon Solitons	2
Gibbs Measures for HC-Model with a Cuountable Set of Spin Values on a Cayley Tree	2
Slit-Strip Ising Boundary Conformal Field Theory 1: Discrete and Continuous Function Spaces	2
Parabolic Gap Theorems for the Yang-Mills Energy	2
Non-Gibbsian Multivariate Ewens Probability Distributions on Regular Trees	2
Self-Adjointness of a Class of Multi-Spin–Boson Models with Ultraviolet Divergences	2
On Real Hyperelliptic Solutions of Focusing Modified KdV Equation	1
Complex Abstract Wiener Spaces	1
Geometric Analysis of Ising Models, Part III	1
Consistency of the Bäcklund Transformation for the Spin Calogero–Moser System	1
Existence of Schrödinger Evolution with Absorbing Boundary Condition	1
Notions of Fermionic Entropies for Causal Fermion Systems	1
Classification of Complete Expanding Gradient Weighted Yamabe Solitons	1
Equality of Magnetization and Edge Current for Interacting Lattice Fermions at Positive Temperature	1
Some Properties of the Plaquette Random-Cluster Model	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
Existence and Uniqueness of Solutions to Backward 2D and 3D Stochastic Convective Brinkman–Forchheimer Equations Forced by Lévy Noise	1
Convergence and an Explicit Formula for the Joint Moments of the Circular Jacobi $$\beta $$-Ensemble Characteristic Polynomial	1
The 16th Hilbert Problem for Discontinuous Piecewise Linear Differential Systems Separated by the Algebraic Curve $$y=x^{n}$$	1
Existence of Abelian BPS Vortices on Surfaces with Neumann Boundary Conditions	1
Cover Times of the Massive Random Walk Loop Soup	1
The Zeros of the Partition Function of the Pinning Model	1
Robustness of Topological Phases on Aperiodic Lattices	1
A Remark on the Spherical Bipartite Spin Glass	1
KdV and mKdV Hierarchies and Schur Q-functions	1
Discrete, Continuous and Asymptotic for a Modified Singularly Gaussian Unitary Ensemble and the Smallest Eigenvalue of Its Large Hankel Matrices	0
Analysis of Gibbs Measures and Stability of Dynamical System Linked to (1,1/2)-Mixed Ising Model on $$(m,k)$$-Ary Trees	0
The Inverse Spectral Map for Dimers	0
Gaskets of O(2) Loop-Decorated Random Planar Maps	0
Exploring Metastability in Ising models: critical droplets, energy barriers and exit time	0
Power-law correction in the probability density function of the critical Ising magnetization	0
Fluctuation Moments for Regular Functions of Wigner Matrices	0
Multi-component discrete integrable hierarchy and its Hamiltonian structure	0
q-deformation of random partitions, determinantal structure, and Riemann–Hilbert problem	0
Gauge Transformations and Long-Time Asymptotics for the New Coupled Integrable Dispersionless Equations	0

Singularity Confinement and Proliferation of Tau Functions for a General Differential-Difference Sawada-Kotera Equation	0
Hydrodynamical Behavior for the Symmetric Simple Partial Exclusion with Open Boundary	0
Two-sided Bounds on the Point-Wise Spatial Decay of Ground States in the Renormalized Nelson Model with Confining Potentials	0
A Riemann Hilbert Approach to the Study of the Generating Function Associated to the Pearcey Process	0
Heat Kernel on Warped Products	0
Quasi-free Isomorphisms of Second Quantization Algebras and Modular Theory	0
Inequalities for Eigenvalues of the Buckling Problem of the Drifting Laplacian	0
On the Dbar Method and Direct Linearization Approach of the Lattice KdV Type Equations	0
Braided Hopf Algebras and Gauge Transformations II: $$*$$-Structures and Examples	0
Nonrelativistic Limit of Generalized MIT Bag Models and Spectral Inequalities	0
Lipschitz-Type Estimate for the Frog Model with Bernoulli Initial Configuration	0
Deformations of Clarke–Oliveira Instantons on Bryant–Salamon Spin(7)-Manifold	0
Integrable System on Minimal Nilpotent Orbit	0
Propagation of Chaos and Residual Dependence in Gibbs Measures on Finite Sets	0
Complex Creation Operator and Planar Automorphic Functions	0
The Near-Critical Two-Point Function and the Torus Plateau for Weakly Self-avoiding Walk in High Dimensions	0
Integrable Systems of Finite Type from F-Cohomological Field Theories Without Unit	0
Surgery Transformations and Spectral Estimates of $$\delta $$ Beam Operators	0
Invariant Volume Form for 3D QRT Maps	0
Levi–Civita Connections on Quantum Spheres	0
Braided Hopf algebras and gauge transformations	0
Initial-boundary value problems of the coupled Sasa-Satsuma equation on the half-line via the Fokas method	0
Translation-invariant p-adic generalized Gibbs measures for the Ising model with a homogeneous external field on a Cayley tree	0
su(2) symmetry of XX spin chains	0
Analysis for idempotent states on quantum permutation groups	0
Evolution of Discordance	0
Multicritical Schur Measures and Higher-Order Analogues of the Tracy–Widom Distribution	0
Generalized Double Bracket Vector Fields	0
Bispectrality of $$AG_2$$ Calogero–Moser–Sutherland System	0
Gibbs Measures of the Blume–Emery–Griffiths Model on the Cayley Tree	0
Locations of JNR Skyrmions	0
Quasi-Invariant States for Actions of Semidirect Product Groups	0
On the Integrability of a Four-Prototype Rössler System	0
Frobenius Manifolds on Orbits Spaces	0
The Trigonometric-type Hirota–Miwa equation	0
Elliptic Solutions of the Toda Lattice with Constraint of Type B and Deformed Ruijsenaars–Schneider System	0
Matrix Solutions of the Cubic Szegő Equation on the Real Line	0
Contact Process for the Spread of Knowledge	0
A Comparison of Two Quantum Distances	0
Stability of the Classical Catenoid and Darboux–Pöschl–Teller Potentials	0
A phase space localization operator in negative binomial states	0
Almost Ricci Solitons Structures on Riemannian Submanifolds of the Euclidean Space	0
Extensions and Generalizations of Lattice Gelfand–Dickey Hierarchy	0
Prolongations of Convenient Lie Algebroids	0
Topological indices for periodic gapped Hamiltonians and fuzzy tori	0
Classification of $$1+0$$ Two-Dimensional Hamiltonian Operators	0
Tau-Function of the Multi-component CKP Hierarchy	0
Space-Time Fluctuations in a Quasi-static Limit	0
Baker–Akhiezer Specialisation of Joint Eigenfunctions for Hyperbolic Relativistic Calogero–Moser Hamiltonians	0
Gauge Symmetries and Renormalization	0
Discrete Field Theory: Symmetries and Conservation Laws	0
Relative Entropy of Fermion Excitation States on the CAR Algebra	0
Mean-field behavior of the quantum Ising susceptibility and a new lace expansion for the classical Ising model	0
Two-Term Asymptotics of the Exchange Energy of the Electron Gas on Symmetric Polytopes in the High-Density Limit	0
Cohomology of Lie Algebra Morphism Triples and Some Applications	0
On the Global Minimum of the Energy–Momentum Relation for the Polaron	0
Index of Bipolar Surfaces to Otsuki Tori	0
Initial Value Space of the Four Dimensional Painlevé System with $$(A_5+A_1)^{(1)}$$ Symmetry	0
A Lie Group Approach to a Viscoelasticity Model	0
Trees and Superintegrable Lotka–Volterra Families	0