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Mathematical Physics papers — page 16

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Van Vleck spectra of high-order Heun operators:\ finite-band universality and exterior asymptotics
We study high-order analogues of the classical Heun operator of Fuchs index one, \[ =Σi=1k Qi(z)didzi, °Qi i+1, °Qk=k+1. \] For a fixed degree n we consider…
Boris ShapiroJul 2, 2026
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Mesoscopic Linear Statistics for Two Ensembles of Quantum Graphs
We study mesoscopic linear spectral statistics for two ensembles of random quantum graphs. These are defined by a discrete graph G and a unitary-matrix-valued function U(k) indexed by directed…
Anna Maltsev, Mohammed OsmanJul 2, 2026
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Mean-Field Bose--Einstein Condensation and Condensate Ideals in the Resolvent Algebra
This paper studies the imperfect Bose gas after the Kac density law and the mean-field Euler equations have selected a condensed density with positive zero-mode excess. In this BEC regime the…
Yoshitsugu SekineJul 2, 2026
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Open-boundary integrable quantum circuits with different geometries
We present a complete classification of integrable Yang-Baxter quantum circuits with open boundary conditions and arbitrary circuit geometries. Starting from the standard transfer-matrix construction…
Miguel García Fernández, Chiara Paletta, Ana L. RetoreJul 2, 2026
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r-deformed α-z-Rényi relative entropy
In this article, we consider the r-logarithm for defining three-parameter family of Rényi relative entropies that are generalization of the α-z-Rényi relative entropies. All the members of…
Srikrishna Maity, Shigeru Furuichi, Supriyo DuttaJul 2, 2026
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The tentacles landscape: geometric properties of high-dimensional basins of attraction
Basins of attraction in multistable high dimensional dynamical systems are expected to have universal features but very little has been proved rigorously. We consider phase oscillators coupled…
Pablo GroismanJul 2, 2026
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Rigid Body Rotors in Planar Potentials: A Novel type of Superintegrable Mechanical Systems in the Plane
We investigate the superintegrability of rigid body rotors coupled to planar systems. In particular, we study the isotropic harmonic oscillator in two dimensions, with its (central) force acting on…
D. LatiniJul 2, 2026
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Laurent Sequences, Extended Rota Algebras and Categorical Discretization of Dynamical Systems
We introduce a novel integrability-preserving discretization for a broad class of differential equations with variable coefficients, encompassing both linear and nonlinear cases. The construction is…
Miguel A. Rodriguez, Piergiulio TempestaJul 2, 2026
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Existence of Bulk Vortices in Superconductors with Strong Magnetic Fields
We study the vortex formation in extreme type-II superconductors immersed in strong magnetic fields in the framework of the the Ginzburg-Landau theory. We focus on the regime where superconductivity…
M. Correggi, A. KachmarJul 2, 2026
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Exact renormalization groups and transportation of measures
This note provides a new perspective on Polchinski's exact renormalization group, by explaining how it gives rise, via the multiscale Bakry-Émery criterion, to Lipschitz transport maps between…
Yair ShenfeldJul 2, 2026
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Small Denominators and Subresonant Accumulation in Weakly Nonlinear Dispersive Dynamics
We study a small-denominator mechanism in weakly nonlinear dispersive dynamics. After Fourier decomposition, a nonlinear dispersive equation becomes an infinite system of weakly coupled oscillators.…
P. Yu. Astafieva, O. M. KiselevJul 1, 2026
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Parent Hamiltonians of Ergodic Matrix Product States
Matrix product states (MPS) are quintessential examples of frustration-free gapped ground states of local interactions called parent Hamiltonians. In this work, we investigate parent Hamiltonians for…
Owen Ekblad, Eloy Moreno-Nadales, Eric B. Roon et al.Jul 1, 2026
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Scattering, Trapping and Cloaking-Type Effects of Plane Waves by Point Scatterers in Strain Gradient Elasticity
Wave scattering by localized constraints in microstructured solids is strongly influenced by the interplay of material length scales, dispersion and geometry. This work investigates plane-strain…
E. Alevras, Th. Zisis, P. A. GourgiotisJul 1, 2026
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On the spherical symmetry and finite-range assumptions of the interaction potential in the low energy study of dilute Bose gases
We consider a Bose gas on the three-dimensional torus in the Gross--Pitaevskii regime and explain how to remove the assumptions of radiality and compact support on the interaction potential in the…
Lukas Reichmann, Arnaud TriayJul 1, 2026
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Time Averages for the Vortex Model and Stroboscopic Ergodic Averages
We consider the vortex model on the plane, focusing on the case of vortices with the same sign and, for simplicity, assuming all vortices possess equal circulation. In particular we are interested at…
Emanuele Caglioti, Marco CecchiniJul 1, 2026
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On the Application of Poincare-Steklov Operators to the Problem of Resonant Scattering in a Cylinder
The resonant nature of scattering in a waveguide with two barriers is proven in the case of a sufficiently arbitrary deformation of the region between the barriers. The problem is considered as an…
A. L DelitsynJul 1, 2026
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Scaling Symmetry in Symplectic Thermodynamics
This paper investigates scaling symmetry in thermodynamics by unifying constrained Hamiltonian dynamics with symplectic and contact geometries. Through the mathematical processes of contactization…
M. C. Baldiotti, R. FresnedaJul 1, 2026
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Quantum Stokes matrices and quantum Riemann-Hilbert-Birkhoff maps
In this paper, we introduce quantum Stokes matrices for a noncommutative version of meromorphic linear systems of ordinary differential equations with a pole of order p+1. We prove that these…
Xiaomeng XuJun 30, 2026
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Kinetic derivation of thermal viscous models for nematic liquid crystal dynamics
We develop a macroscopic thermodynamic theory of nematic liquid crystals starting from a kinetic theory of ordered fluids with a collision operator of Bhatnagar-Gross-Krook (BGK) type. The kinetic…
P. E. Farrell, J. Málek, O. Souček et al.Jun 30, 2026
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Serre Relations in Yangian Doubles
Following the approach of B.~Enriquez~E we exhibit the analytical properties of the products of the currents in the Yangian doubles restricted to the category of the highest weight…
A. Liashyk, S. Pakuliak, E. RagoucyJun 30, 2026
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Stability of the Hydrogen Molecule and Related Issues
We review the collaboration that led to the first rigorous proof of the stability of the hydrogen molecule within quantum mechanics and discuss several related issues concerning few-charge systems.…
Jean-Marc RichardJun 30, 2026
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Non-invertible symmetries and modular invariance in lattice models
We consider classical 2d lattice models with face interactions defined in terms of a fusion category. The symmetries of such models typically include an algebra of topological operators sitting on a…
Yacine IkhlefJun 30, 2026
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Boundaries in the Instantaneous Formulation of Field Theories
We study boundary conditions in GiMmsy's covariant and instantaneous formulations of classical field theories and show that the instantaneous state space in the presence of a constant Dirichlet…
Silvester G. A. BorsboomJun 30, 2026
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Disordered Schur Measures
In this paper, we introduce and study random Schur measures whose parameters are sampled from the Circular Unitary Ensemble. We show that Schur measures with CUE disorder exhibit behavior reminiscent…
Jonathan NovakJun 30, 2026
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Multivariable Painleve'-II equation: connection formulas for asymptotic solutions
For an integrable generalization of the Painleve'-II equation (P-II) to a system of coupled equations with symmetry breaking terms, an asymptotically exact WKB analysis is applied to obtain…
N. A. SinitsynJun 30, 2026
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