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Mathematical Physics papers

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Unifying spherical convolutions through lifting
We develop a unified description of convolution on the sphere by lifting to the rotation group. A number of definitions of spherical convolution have been proposed, differing in whether the kernel is…
J. D. McEwenOct 9, 2026
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Perturbed isotropic oscillators with inversion symmetry
We consider the normal form of a 1:1 detuned resonance that can be related, via a double averaging process, to the three body problem of celestial mechanics. In view of the symmetry in the…
Antonella Marchesiello, Rita Mastroianni, Giuseppe PucaccoOct 9, 2026
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Critical Ising model as the M(4,3) minimal model of conformal field theory
We construct a linear map from the space of spin polynomials in the critical Ising model on a lattice to the state space of the M(4,3) minimal model of conformal field theory. The kernel of the map…
Dmitry Chelkak, Konstantin Izyurov, Kalle KytöläOct 9, 2026
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A Sklar-Type Decomposition for Positive Binary Distributions and a Gibbs Interpretation
We study strictly positive multivariate binary distributions by separating one-body marginals from dependence. Local positive reweighting defines a dependence nucleus, completely characterized by the…
Yi-Yu LinOct 8, 2026
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Lieb-Robinson bounds for irreversible dynamics via adaptive Dyson expansion
In this note, we study a broad class of time-dependent and irreversible dynamics for quantum spin systems in both finite and infinite volume. We develop a simple and flexible strategy for expanding…
Carla Rubiliani, Marius Wesle, Tom WesselOct 8, 2026
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An elementary approach to the Szegő theorems
The strong Szegő theorem and the Fisher-Hartwig formula describe the asymptotic behavior of determinants obtained by restricting translationally invariant operators to large finite regions. In…
Israel Klich, Ravisankar RajagopalOct 8, 2026
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Wave packets asymptotics in κ-minkowski space
In this paper, we study the nature of wave packets and their decay behavior in the κ-Minkowski space. We employ techniques from singularity theory throughout our analysis. Specifically, we use…
Adith A, A. BhagwatOct 8, 2026
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Multipartite entanglement spreads
The entanglement structure of a bipartite pure state is characterized by its entanglement spectrum, or equivalently, by the family of Rényi-k entanglement entropies with integer k. Taking the…
Sylvain Carrozza, Johann Chevrier, Luca LionniOct 8, 2026
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Wrinkling of a bilayered cylinder under tension
We study near-surface tension instabilities in bilayered cylinders composed of an incompressible core coated with a thin compressible film. In theory, circumferential wrinkles with axial wavefronts…
Chiara Lonati, Sairam Pamulaparthi Venkata, Kevin Moerman et al.Oct 8, 2026
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Extended States on the Bethe Lattice Revisited
We give a short proof of the classical weak-disorder result that the Anderson model on the Bethe lattice has purely absolutely continuous spectrum on compact intervals in the interior of the free…
Vojkan Jaksic, Yoram LastOct 8, 2026
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Uniformity theory of weighted composites
By including spatially varying volume fractions of the constituents, composites are obtained that are akin to functionally graded media. An extension of the mathematical apparatus of double groupoids…
Marcelo Epstein, Mohammadjavad JavadiOct 8, 2026
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Finite- and long-range spin-wave free-energy asymptotics for the two-dimensional quantum Heisenberg ferromagnet
For the two-dimensional quantum Heisenberg ferromagnet with asymptotically radial power-law exchange, we prove the leading low-temperature free energy at every fixed spin, uniformly on the weak-field…
Andreas KlippelOct 7, 2026
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Iterated Graph Systems (II): Bernoulli percolation and critical-exponent universality classes on hierarchical lattices
We study Bernoulli percolation and its universality classes on hierarchical lattices generated by edge iterated graph systems (EIGS). By examining eight critical exponents, we prove that no finite…
Ziyu NeroliOct 7, 2026
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Asymptotic Neutrality for the Ionization Conjecture in the Two-Center Thomas-Fermi-Dirac-von Weizsäcker Theory
The ionization conjecture for the Thomas-Fermi-Dirac-von Weizsäcker model asks how many electrons a given nuclear configuration can bind. So far, only the single-center case has been settled by…
Lu Chen, Yong WuOct 7, 2026
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Operator Schmidt Rank and the Geometry of Schmidt Profiles
The main result of the paper states that if 0≠ v∈ Cm Cn, d=\m,n\, and p=SR(v), then for every 1 q d, equation* \OSR( U):…
Mohsen Kian, Mohammad Sal MoslehianOct 7, 2026
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Absence of Absolutely Continuous Spectrum for One-Dimensional Capacitance Operators with Critical Long-Range Interactions
In this paper, we establish the absence of absolutely continuous spectrum for scalar one-dimensional Laurent operators with multiplicative disorder and critical long-range hoppings. In particular,…
Habib Ammari, Jiayu QiuOct 7, 2026
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Matrix Product State Representatives of Symmetry-Protected Phases
We provide a simple ansatz for finding integer spin SO(3)×2T×2R-invariant matrix product states representing a phase for each triple of 2 topological indices studied in the…
Thomas JacksonOct 7, 2026
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Nematic order in monomer-dimer models of Heilmann and Lieb with lateral attraction in dimensions d 2
We study the d-dimensional generalization of Models II (d=2) and V (d=3) for liquid crystals introduced by Heilmann--Lieb (1979), which consists of dimers on the hypercubic lattice at chemical…
Qidong HeOct 6, 2026
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Conformal invariance of the planar four-state Potts model and its random-cluster representation
For the critical random-cluster model on Z2 with cluster-weight q=4, we prove the convergence of loops to CLE(4) in the scaling limit. Conformal invariance of the four-state Potts model…
Emile Averous, Hugo Duminil-Copin, Tiancheng He et al.Oct 6, 2026
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An unified approach for the (inverted) quantum harmonic oscillator and the Berry-Keating hamiltonian
We propose an unified view to three well known quadratic Hamiltonians widely considered in quantum mechanics, i.e. those of the harmonic oscillator, of the inverted harmonic oscillator, and the…
Fabio Bagarello, Emanuele Balistreri, Sergey KuzhelOct 6, 2026
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Stability of Matter Interacting with Classical Non-Abelian Gauge Fields
Stability of matter is the property that the ground state energy of N charged quantum particles is bounded below by -CN, with C independent of N. We ask whether this holds for colour-charged…
Robin Reuvers, Jan Philip Solovej, David StuartOct 6, 2026
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Localization Dichotomy for Hall Insulators on the Lattice
We prove the localization dichotomy conjecture for non-periodic Hall insulators on the lattice. That is, we show that the Fermi projector P of a gapped exponentially local Hamiltonian on…
Alex BolsOct 6, 2026
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Convergence Without Finite Exactness in the Eigenstate Quantum Bootstrap
The eigenstate quantum-mechanical bootstrap can converge to the physical moment set while remaining nonexact at every finite order. We prove this for a one-dimensional quasi-exactly solvable sextic…
Ye Zhou, Daniel KerenOct 6, 2026
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Pulsation of quantum walk on finite graph
We study discrete-time quantum walks on weighted graphs, where every edge in an edge cut set is assigned a small weight ε>0. The parameter ε represents the strength of the connections through the…
Taisuke Hosaka, Etsuo SegawaOct 6, 2026
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A mathematical analogy between certain hollow vortex and bubble flows - existence, uniqueness, and identical boundary shapes
We study two physically distinct steady free-boundary problems in a two-dimensional inviscid fluid: a hollow vortex in a constant-vorticity flow subject to simple shear, third order and linear strain…
Valentin D. Kunz, Saleh Tanveer, Darren G. CrowdyOct 6, 2026
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