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 2020-10-01 to 2024-10-01.)

Article	Citations
Bose–Einstein Condensation with Optimal Rate for Trapped Bosons in the Gross–Pitaevskii Regime	19
Commuting Jacobi Operators on Real Hypersurfaces of Type B in the Complex Quadric	14
Self-Adjointness in Klein-Gordon Theory on Globally Hyperbolic Spacetimes	9
J-Trajectories in 4-Dimensional Solvable Lie Group $$\mathrm {Sol}_0^4$$	9
On Tsallis and Kaniadakis Divergences	8
Construction of Nonuniform Wavelet Frames on Non-Archimedean Fields	8
Fundamental solutions and Hadamard states for a scalar field with arbitrary boundary conditions on an asymptotically AdS spacetimes	8
On the Self-Adjointness of H+A∗+A	7
Non-Abelian Evolution Systems with Conservation Laws	7
Constructing a Complete Integral of the Hamilton–Jacobi Equation on Pseudo-Riemannian Spaces with Simply Transitive Groups of Motions	6
On Bose–Einstein condensates in the Thomas–Fermi regime	6
The Analytic Evolution of Dyson–Schwinger Equations via Homomorphism Densities	6
Algebraic Symmetry and Self–Duality of an Open ASEP	6
Hydrodynamical Behavior for the Symmetric Simple Partial Exclusion with Open Boundary	5
Renormalization in Combinatorially Non-Local Field Theories: The Hopf Algebra of 2-Graphs	5
Long-Time Asymptotics for the Focusing Hirota Equation with Non-Zero Boundary Conditions at Infinity Via the Deift-Zhou Approach	5
From Auto-Bäcklund Transformations to Auto-Bäcklund Transformations, and Torqued ABS Equations	5
Long and Short Time Asymptotics of the Two-Time Distribution in Local Random Growth	5
Regularising Transformations for Complex Differential Equations with Movable Algebraic Singularities	5
Boundary from Bulk Integrability in Three Dimensions: 3D Reflection Maps from Tetrahedron Maps	4
Topological Decompositions of the Pauli Group and their Influence on Dynamical Systems	4
Uniform Regularity of the Density-Dependent Incompressible MHD System in a Bounded Domain	4
Solitons for the Modified Camassa-Holm Equation and their Interactions Via Dressing Method	4
On the Global Minimum of the Energy–Momentum Relation for the Polaron	4
Density of States and Lifshitz Tails for Discrete 1D Random Dirac Operators	4

On the Prequantisation Map for 2-Plectic Manifolds	4
Convergence and an Explicit Formula for the Joint Moments of the Circular Jacobi $$\beta $$-Ensemble Characteristic Polynomial	4
Quasilinear Systems of First Order PDEs with Nonlocal Hamiltonian Structures	3
The Resolvent of the Nelson Hamiltonian Improves Positivity	3
Lax Pairs for the Discrete Reduced Nahm Systems	3
Self-Adjointness of a Class of Multi-Spin–Boson Models with Ultraviolet Divergences	3
The Near-Critical Two-Point Function and the Torus Plateau for Weakly Self-avoiding Walk in High Dimensions	3
Weyl’s Laws and Connes’ Integration Formulas for Matrix-Valued $$L\!\log \!L$$-Orlicz Potentials	3
The BCS Critical Temperature at High Density	3
Solution of the System of Two Coupled First-Order ODEs with Second-Degree Polynomial Right-Hand Sides	3
Kasteleyn Theorem, Geometric Signatures and KP-II Divisors on Planar Bipartite Networks in the Disk	3
Manin Involutions for Elliptic Pencils and Discrete Integrable Systems	3
Hitchin Fibration on Moduli of Symplectic and Orthogonal Parabolic Higgs Bundles	3
Constant Mean Curvature Surfaces Based on Fundamental Quadrilaterals	2
Frobenius Manifolds on Orbits Spaces	2
New Condition on Uniqueness of Gibbs Measure for Models with Uncountable Set of Spin Values on a Cayley Tree	2
Levi–Civita Connections on Quantum Spheres	2
Relative Entropy of Fermion Excitation States on the CAR Algebra	2
Heisenberg Dynamics for Non Self-Adjoint Hamiltonians: Symmetries and Derivations	2
Long Time Asymptotic Behavior for the Nonlocal mKdV Equation in Solitonic Space–Time Regions	2
Equivariant Spectral Triples for Homogeneous Spaces of the Compact Quantum Group $$U_q(2)$$	2
Stem and topological entropy on Cayley trees	2
Bilinear Equation and Additional Symmetries for an Extension of the Kadomtsev–Petviashvili Hierarchy	2
Some Non-periodic p-Adic Generalized Gibbs Measures for the Ising Model on a Cayley Tree of Order k	2
Sums of Two-Parameter Deformations of Multiple Polylogarithms	2
Twisted Reality and the Second-Order Condition	2
Injective Tensor Products in Strict Deformation Quantization	2
The Adelic Grassmannian and Exceptional Hermite Polynomials	2
Lusztig Factorization Dynamics of the Full Kostant–Toda Lattices	2
On Quantum Optimal Transport	2
Twisted Quadrics and Algebraic Submanifolds in $\mathbb {R}^{n}$	2
A Lax Formulation of a Generalized q-Garnier System	2
A Remark on the Spherical Bipartite Spin Glass	2
A Riemann Hilbert Approach to the Study of the Generating Function Associated to the Pearcey Process	2
Bi-infinite Solutions for KdV- and Toda-Type Discrete Integrable Systems Based on Path Encodings	1
Lattice Gauge Theory and a Random-Medium Ising Model	1
Complex Creation Operator and Planar Automorphic Functions	1
Factorization Problems on Rational Loop Groups, and the Poisson Geometry of Yang-Baxter Maps	1
Multicritical Schur Measures and Higher-Order Analogues of the Tracy–Widom Distribution	1
On the Integrable Structure of Deformed Sine Kernel Determinants	1
Convergence of Discrete Period Matrices and Discrete Holomorphic Integrals for Ramified Coverings of the Riemann Sphere	1
Consistency of the Bäcklund Transformation for the Spin Calogero–Moser System	1
How One can Repair Non-integrable Kahan Discretizations. II. A Planar System with Invariant Curves of Degree 6	1
Discrete Field Theory: Symmetries and Conservation Laws	1
Cluster Expansion for the Ising Model in the Canonical Ensemble	1
Constants of Motion of the Harmonic Oscillator	1
Nonrelativistic Limit of Generalized MIT Bag Models and Spectral Inequalities	1
Kahan Discretizations of Skew-Symmetric Lotka-Volterra Systems and Poisson Maps	1
On the KPZ Scaling and the KPZ Fixed Point for TASEP	1
Supersymmetric Cluster Expansions and Applications to Random Schrödinger Operators	1

Wegner Estimate for Random Divergence-Type Operators Monotone in the Randomness	1
A $${\mathbb {Z}}_{2}$$-Topological Index for Quasi-Free Fermions	1
Asymptotic Behavior of Wronskian Polynomials that are Factorized via p-cores and p-quotients	1
Braided Hopf Algebras and Gauge Transformations II: $$*$$-Structures and Examples	1
Gauge Symmetries and Renormalization	1
Asymptotic Behavior of Density in the Boundary-Driven Exclusion Process on the Sierpinski Gasket	1
Elliptic Solutions of the Toda Lattice with Constraint of Type B and Deformed Ruijsenaars–Schneider System	1
Alignment Percolation	1
Box and Ball System with Numbered Boxes	1
The 16th Hilbert Problem for Discontinuous Piecewise Linear Differential Systems Separated by the Algebraic Curve $$y=x^{n}$$	1
Sticky Brownian Motions and a Probabilistic Solution to a Two-Point Boundary Value Problem	1
Cohomology of Lie Algebra Morphism Triples and Some Applications	1