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 2020-03-01 to 2024-03-01.)

Article	Citations
Bose–Einstein Condensation with Optimal Rate for Trapped Bosons in the Gross–Pitaevskii Regime	14
Commuting Jacobi Operators on Real Hypersurfaces of Type B in the Complex Quadric	11
A Riemann-Hilbert Approach to a Generalized Nonlinear Schrödinger Equation on the Quarter Plane	10
From Short-Range to Contact Interactions in the 1d Bose Gas	7
Non-Abelian Evolution Systems with Conservation Laws	7
J-Trajectories in 4-Dimensional Solvable Lie Group $$\mathrm {Sol}_0^4$$	7
Counterexample to Strong Diamagnetism for the Magnetic Robin Laplacian	7
Self-Adjointness in Klein-Gordon Theory on Globally Hyperbolic Spacetimes	7
Fundamental solutions and Hadamard states for a scalar field with arbitrary boundary conditions on an asymptotically AdS spacetimes	7
Constructing a Complete Integral of the Hamilton–Jacobi Equation on Pseudo-Riemannian Spaces with Simply Transitive Groups of Motions	6
Construction of Nonuniform Wavelet Frames on Non-Archimedean Fields	6
One-dimensional Discrete Dirac Operators in a Decaying Random Potential I: Spectrum and Dynamics	6
Algebraic Symmetry and Self–Duality of an Open ASEP	6
On Bose–Einstein condensates in the Thomas–Fermi regime	6
Threshold Between Short and Long-range Potentials for Non-local Schrödinger Operators	5
Long-Time Asymptotics for the Focusing Hirota Equation with Non-Zero Boundary Conditions at Infinity Via the Deift-Zhou Approach	5
The Analytic Evolution of Dyson–Schwinger Equations via Homomorphism Densities	5
Two Groups in a Curie-Weiss Model	5
On the Self-Adjointness of H+A∗+A	5
Well-Posedness for a Whitham–Boussinesq System with Surface Tension	4
Density of States and Lifshitz Tails for Discrete 1D Random Dirac Operators	4
Two-Dimensional Time-Reversal-Invariant Topological Insulators via Fredholm Theory	4
Renormalization in Combinatorially Non-Local Field Theories: The Hopf Algebra of 2-Graphs	4
Boundary from Bulk Integrability in Three Dimensions: 3D Reflection Maps from Tetrahedron Maps	4
Uniform Regularity of the Density-Dependent Incompressible MHD System in a Bounded Domain	4

From Auto-Bäcklund Transformations to Auto-Bäcklund Transformations, and Torqued ABS Equations	4
On the Global Minimum of the Energy–Momentum Relation for the Polaron	3
The BCS Critical Temperature at High Density	3
The Resolvent of the Nelson Hamiltonian Improves Positivity	3
On Tsallis and Kaniadakis Divergences	3
On the Prequantisation Map for 2-Plectic Manifolds	3
Perturbation Theory of Transformed Quantum Fields	3
Hitchin Fibration on Moduli of Symplectic and Orthogonal Parabolic Higgs Bundles	3
Smoothing Operators in Multi-Marginal Optimal Transport	3
Solitons for the Modified Camassa-Holm Equation and their Interactions Via Dressing Method	3
Weyl’s Laws and Connes’ Integration Formulas for Matrix-Valued $$L\!\log \!L$$-Orlicz Potentials	3
Regularising Transformations for Complex Differential Equations with Movable Algebraic Singularities	3
On LA-Courant Algebroids and Poisson Lie 2-Algebroids	3
Kasteleyn Theorem, Geometric Signatures and KP-II Divisors on Planar Bipartite Networks in the Disk	3
Long and Short Time Asymptotics of the Two-Time Distribution in Local Random Growth	3
A Remark on the Spherical Bipartite Spin Glass	2
The Near-Critical Two-Point Function and the Torus Plateau for Weakly Self-avoiding Walk in High Dimensions	2
Equivariant Spectral Triples for Homogeneous Spaces of the Compact Quantum Group $$U_q(2)$$	2
Stem and topological entropy on Cayley trees	2
Lax Pairs for the Discrete Reduced Nahm Systems	2
Twisted Quadrics and Algebraic Submanifolds in $\mathbb {R}^{n}$	2
Relative Entropy of Fermion Excitation States on the CAR Algebra	2
Heisenberg Dynamics for Non Self-Adjoint Hamiltonians: Symmetries and Derivations	2
A Riemann Hilbert Approach to the Study of the Generating Function Associated to the Pearcey Process	2
Injective Tensor Products in Strict Deformation Quantization	2
Constant Mean Curvature Surfaces Based on Fundamental Quadrilaterals	2
Poisson Quasi-Nijenhuis Manifolds and the Toda System	2
Frobenius Manifolds on Orbits Spaces	2
Manin Involutions for Elliptic Pencils and Discrete Integrable Systems	2
Convergence and an Explicit Formula for the Joint Moments of the Circular Jacobi $$\beta $$-Ensemble Characteristic Polynomial	2
Solution of the System of Two Coupled First-Order ODEs with Second-Degree Polynomial Right-Hand Sides	2
Hydrodynamical Behavior for the Symmetric Simple Partial Exclusion with Open Boundary	2
A New Approach to the 3D Liquid Crystal System with Large Vertical Velocity in the Critical L2 Framework	2
The Adelic Grassmannian and Exceptional Hermite Polynomials	2
Susy for Non-Hermitian Hamiltonians, with a View to Coherent States	2
Topological Decompositions of the Pauli Group and their Influence on Dynamical Systems	2
A Lax Formulation of a Generalized q-Garnier System	2
Low Dimensional Matrix Representations for Noncommutative Surfaces of Arbitrary Genus	1
Lattice Gauge Theory and a Random-Medium Ising Model	1
A Continuation Principle to the Cauchy Problem of Two-Dimensional Compressible Navier-Stokes Equations with Variable Viscosity	1
Constants of Motion of the Harmonic Oscillator	1
On Quantum Optimal Transport	1
Twisted Reality and the Second-Order Condition	1
Kahan Discretizations of Skew-Symmetric Lotka-Volterra Systems and Poisson Maps	1
Squeezed States in the Quaternionic Setting	1
Convergence of Discrete Period Matrices and Discrete Holomorphic Integrals for Ramified Coverings of the Riemann Sphere	1
Sums of Two-Parameter Deformations of Multiple Polylogarithms	1
Approximations of the Sum of States by Laplace’s Method for a System of Particles with a Finite Number of Energy Levels and Application to Limit Theorems	1
Discrete Field Theory: Symmetries and Conservation Laws	1
Cluster Expansion for the Ising Model in the Canonical Ensemble	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
New Condition on Uniqueness of Gibbs Measure for Models with Uncountable Set of Spin Values on a Cayley Tree	1
How One can Repair Non-integrable Kahan Discretizations. II. A Planar System with Invariant Curves of Degree 6	1
Bilinear Equation and Additional Symmetries for an Extension of the Kadomtsev–Petviashvili Hierarchy	1
Quasilinear Systems of First Order PDEs with Nonlocal Hamiltonian Structures	1
Wegner Estimate for Random Divergence-Type Operators Monotone in the Randomness	1
Sticky Brownian Motions and a Probabilistic Solution to a Two-Point Boundary Value Problem	1
Supersymmetric Cluster Expansions and Applications to Random Schrödinger Operators	1
Asymptotic Behavior of Wronskian Polynomials that are Factorized via p-cores and p-quotients	1
Global Attractors of Non-Newtonian Fluids Near the BCS-BEC Crossover	1
Asymptotic Behavior of Density in the Boundary-Driven Exclusion Process on the Sierpinski Gasket	1
Levi–Civita Connections on Quantum Spheres	1
A $${\mathbb {Z}}_{2}$$-Topological Index for Quasi-Free Fermions	1
Alignment Percolation	1
Motion of Charged Particle in a Class of Homogeneous Spaces	1
The 16th Hilbert Problem for Discontinuous Piecewise Linear Differential Systems Separated by the Algebraic Curve $$y=x^{n}$$	1
Box and Ball System with Numbered Boxes	1
Consistency of the Bäcklund Transformation for the Spin Calogero–Moser System	1