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 2022-06-01 to 2026-06-01.)

Article	Citations
On the KPZ Scaling and the KPZ Fixed Point for TASEP	12
Limiting Spectral Distribution of Random Self-Adjoint Quantum Channels	11
Essential Self-Adjointness of the Laplacian on Weighted Graphs: Harmonic Functions, Stability, Characterizations and Capacity	11
Lusztig Factorization Dynamics of the Full Kostant–Toda Lattices	8
On the Integrable Structure of Deformed Sine Kernel Determinants	8
Decay of Connection Probability in High-Dimensional Continuum Percolation	7
Recurrence Relations for the Generalized Laguerre and Charlier Orthogonal Polynomials and Discrete Painlevé Equations on the $$D_{6}^{(1)}$$ Sakai Surface	7
Edge Spectrum for Truncated $$\mathbb {Z}_2$$-Insulators	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
The Ricci Curvature and the Normalized Ricci Flow on Generalized Wallach Spaces	5
Møller Maps for Dirac Fields in External Backgrounds	5
Bi-infinite Solutions for KdV- and Toda-Type Discrete Integrable Systems Based on Path Encodings	4
On Riemann Curvature of Spherically Symmetric Metrics	4
On the Structure of Compact Static Vacuum Spaces and Positive Isotropic Curvature	4
Lattice Gauge Theory and a Random-Medium Ising Model	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
Dubrovin-Frobenius Manifolds and The Extended Weyl Group of Type B	3
Some Results on Calibrated Submanifolds in Euclidean Space of Cohomogeneity One and Two	3
On the Resolvent of H+A$$^{*}$$+A	3
Conjugate Frobenius Manifold and Inversion Symmetry	3
Preface to the Special Issue “The Ising model at 100: some modern perspectives”	3

Limit Theorems for Multi-group Curie–Weiss Models via the Method of Moments	3
On Quantum Optimal Transport	3
Flow Lines on the Moduli Space of Rank 2 Twisted Higgs Bundles	3
Generating Function of q- and Elliptic Multiple Polylogarithms of Hurwitz Type	2
Equivariant Spectral Triples for Homogeneous Spaces of the Compact Quantum Group $$U_q(2)$$	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
Fluctuations of Eigenvalues of a Polynomial on Haar Unitary and Finite Rank Matrices	2
On Bose–Einstein condensates in the Thomas–Fermi regime	2
Integrable Deformations of Cluster Maps of Type $$D_{2N}$$	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
Gibbs Measures for HC-Model with a Cuountable Set of Spin Values on a Cayley Tree	2
Umbilicity and the First Stability Eigenvalue of a Subclass of CMC Hypersurfaces Immersed in Certain Einstein Manifolds	2
Multidimensional Multiplicative Poisson Vertex Algebras	2
Inverse Scattering and Riemann-Hilbert Problems for a Class of High-Dimensional Modified Pavlov Systems	2
A Novel Discrete Integrable System Related to Hyper-Elliptic Curves of Genus Two	2
Equality of Magnetization and Edge Current for Interacting Lattice Fermions at Positive Temperature	1
Quasilinear Systems of First Order PDEs with Nonlocal Hamiltonian Structures	1
Complex Abstract Wiener Spaces	1
Some Properties of the Plaquette Random-Cluster Model	1
KdV and mKdV Hierarchies and Schur Q-functions	1
Notions of Fermionic Entropies for Causal Fermion Systems	1
Mean-field behavior of Nearest-Neighbor Oriented Percolation on the BCC Lattice Above 8 + 1 Dimensions	1
On Real Hyperelliptic Solutions of Focusing Modified KdV Equation	1
Discrete Nonlinear Schrödinger Type Equations: Solutions and Continuum Limits	1
On Compact $$\eta $$-Ricci-Bourguignon Solitons	1
Geometric Analysis of Ising Models, Part III	1
Consistency of the Bäcklund Transformation for the Spin Calogero–Moser System	1
The Zeros of the Partition Function of the Pinning Model	1
Existence of Schrödinger Evolution with Absorbing Boundary Condition	1
Existence of Abelian BPS Vortices on Surfaces with Neumann Boundary Conditions	1
The 16th Hilbert Problem for Discontinuous Piecewise Linear Differential Systems Separated by the Algebraic Curve $$y=x^{n}$$	1
Self-Adjointness of a Class of Multi-Spin–Boson Models with Ultraviolet Divergences	1
Classification of Complete Expanding Gradient Weighted Yamabe Solitons	1
Cover Times of the Massive Random Walk Loop Soup	1
Robustness of Topological Phases on Aperiodic Lattices	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
Cohomology of Lie Algebra Morphism Triples and Some Applications	0
Discrete, Continuous and Asymptotic for a Modified Singularly Gaussian Unitary Ensemble and the Smallest Eigenvalue of Its Large Hankel Matrices	0
Index of Bipolar Surfaces to Otsuki Tori	0
Frobenius Manifolds on Orbits Spaces	0
The Near-Critical Two-Point Function and the Torus Plateau for Weakly Self-avoiding Walk in High Dimensions	0
A Lie Group Approach to a Viscoelasticity Model	0
Power-law correction in the probability density function of the critical Ising magnetization	0
Surgery Transformations and Spectral Estimates of $$\delta $$ Beam Operators	0
Tau-Function of the Multi-component CKP Hierarchy	0
Fluctuation Moments for Regular Functions of Wigner Matrices	0

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