Curvature Decay and the Spectrum of the Non-Abelian Laplacian on R3I study the spectral behavior of the covariant Laplacian ΔA = dA* dA associated with smooth SU(2) connections on R3. The main result establishes a sharp threshold for the…Michael Wilson·Jul 25, 2026SaveLearn
Essential self-adjointness of semi-bounded operatorsA semi-bounded operator that is bounded below by one is essentially self-adjoint if the kernel of the adjoint is trivial. This is the case if the kernel of the adjoint belongs to the form domain of…M. Griesemer, V. Kußmaul·Jul 24, 2026SaveLearn
Self-adjoint extensions of k-photon light-matter HamiltoniansMultiphoton light-matter interactions, in which a bosonic mode exchanges k excitations at a time with a quantum system, are a source of genuine nonlinearity in quantum optics and are increasingly…Felix Fischer, Felix Knapp, Daniel Burgarth et al.·Jul 24, 2026SaveLearn
Lifts of partial cohomological field theories and examples of bi-Hamiltonian structures in the non-semisimple caseWe define the lift of a partial cohomological field theory with respect to a Frobenius algebra and the corresponding lift of local polyvector fields, extending the lift procedure proposed by Della…Guido Carlet, Dimitrios Makris, Sergey Shadrin·Jul 24, 2026SaveLearn
Classification of Six-dimensional Real Nilpotent Lie Bialgebras of Symplectic Type and their Poisson-Lie GroupsIn this paper, we classify all six-dimensional real nilpotent Lie bialgebras of symplectic type. The Poisson structures on all of the related six-dimensional Poisson-Lie groups are obtained. Some new…A. Poursistani, Gh. Haghighatdoost, J. Abedi-Fardad·Jul 24, 2026SaveLearn
Two-phase source and reaction coefficient Stefan type problemsThis paper investigates inverse two-phase Stefan-type problems for parabolic heat equations with unknown time-dependent source and reaction coefficients. Suitable transformations reduce the original…Targyn A. Nauryz·Jul 24, 2026SaveLearn
Torsionful Killing-Yano Forms under T-Duality: Transformation Conditions and Emergent IsometriesWe investigate the transformation of Killing-Yano (KY) p-forms under Abelian T-duality in the presence of a non-trivial three-form torsion. Using a torsionful, metric-compatible connection and the…Özgür Kelekçi, Ümit Ertem, Özgür Açık·Jul 24, 2026SaveLearn
Spending Operators and Weak Power-Port Decompositions for Path-Dependent Entropic LagrangiansHistory-dependent entropic variational formulations require a calibrated terminal differential for accumulated power and a spatial power split that remains meaningful for weak diffusion fields.…Huilong Ren·Jul 24, 2026SaveLearn
The Dirac equation in (split-)octonions: origins, variants, and modern contextOctonions and split-octonions have been used to express the Dirac equation in physics in several conceptually distinct ways. This review organizes them into four groups: the 2-factor, 3-factor, and…J. Köplinger·Jul 24, 2026SaveLearn
Hyperpfaffian Correlations for Beta-Ensembles: Beta an Even Square IntegerWe give a hyperpfaffian formulation for correlation functions in β-ensembles arising in random matrix theory and statistical mechanics when β= L2 is an even square integer. More specifically,…Christopher D. Sinclair, Jonathan M. Wells·Jul 24, 2026SaveLearn
Nonlinear Schrödinger equation on a closed 3D elastica knotAn elastica knot is defined in terms of the Frenet-Serret curvature κ(s,t) as a function of the arclength s along the spatial curve r(s,t) at a fixed time t, which is a solution of the…Alain J. Brizard·Jul 23, 2026SaveLearn
On Leray's Theoreme de Structure for a weak solution to the Navier-Stokes equations: an improvement of the resultIn this note we furnish a new result concerning the well known théorème de structure by Leray related to a weak solution to the Navier-Stokes equations. We are able to furnish a new estimate on the…Paolo Maremonti·Jul 23, 2026SaveLearn
Representation of the causal logic for the Dirac system and the electronWe construct a covariant representation of the causal logic for the Dirac system and the electron, based on the conserved Dirac probability current and a general current-to-localization procedure for…Domenico P. L. Castrigiano, Carmine De Rosa, Valter Moretti·Jul 23, 2026SaveLearn
Continuum limit of discretized matrix-valued Fourier multipliersBuilding upon a recent result by H. Cornean, H. Garde, and A. Jensen concerning continuum limits of discrete Dirac operators, we extend the analysis to a wide class of block operator matrices. This…Ruben Karapetyan, Matěj Tušek·Jul 23, 2026SaveLearn
An Operator-Algebraic Exposition of the Thirring-Wehrl Theory of the Quasi-Spin BCS ModelThis expository review reformulates the BCS analyses of Haag, Emch--Guenin, and Thirring--Wehrl, together with subsequent operator-algebraic mean-field results of Bóna, Raggio--Werner, and Bru--de…Yoshitsugu Sekine·Jul 23, 2026SaveLearn
Spectral Analysis of the Schrödinger Operator for the Incommensurate SystemMany novel and unique physical phenomena in incommensurate systems can be illustrated and predicted using their spectral structure and electronic state distributions. However, the absence of…Yan Li, Yujian Song, Aihui Zhou·Jul 23, 2026SaveLearn
Integrable systems from Poisson reductions of generalized Hamiltonian torus actionsWe develop a set of sufficient conditions for guaranteeing that an integrable system with a symmetry group K on a manifold M descends to an integrable system on a dense open subset of the…L. Feher, M. Fairon·Jul 23, 2026SaveLearn
High-resolution decomposition of canonical Hamiltonian systemsWe identify the topological and dynamical conditions for a Hamiltonian system to possess port-Hamiltonian reformulations with increasing resolution of structural detail that remains hidden in the…Kaja Krhac, Frederic P. Schuller·Jul 22, 2026SaveLearn
Affine Extension of the Free-Particle--Oscillator--Inverted-Oscillator TriangleWe study the one-dimensional linear-potential system as an affine extension of the conformal triangle formed by the free particle, harmonic oscillator (HO) and inverted harmonic oscillator (IHO).…Andrey Alcala, Mikhail S. Plyushchay·Jul 22, 2026SaveLearn
An FBSDE Construction of the Sine-Gordon EQFT for β2 < 67\, 8π and Perturbative Renormalization in the Full Subcritical RegimeWe construct the sine-Gordon measure and its renormalized effective potential in finite volume up to the seventh threshold. The construction relies on a weak stochastic control problem, its…Sarah-Jean Meyer·Jul 22, 2026SaveLearn
A perturbative microscopic derivation of the focusing Φ61 measure with rough cut-offWe give a derivation of the Gibbs measure for the focusing nonlinear Schrödinger equation (NLS) on the circle with rough cut-off. This extends earlier work by Sohinger and the second author, which…Shahnaz Farhat, Andrew Rout·Jul 22, 2026SaveLearn
Explicit Hamiltonian structure of the Flaschka-Newell Painlevé II hierarchy via symmetry reduction of the Painlevé IV hierarchyWe study the Hamiltonian structure of the Flaschka-Newell Painlevé II hierarchy via symmetry reduction of the associated space of meromorphic connections. Building on the realization of this…Olivier Marchal, Mohamad Alameddine, Sergej Laub·Jul 22, 2026SaveLearn
Recurrence Coefficients of the Orthogonal Polynomials for Oscillatory Jacobi-type Weight FunctionsWe study two classes of oscillatory Jacobi-type weight functions xc(1-x2)λ-1/2(iζx), x∈[-1,1], λ>-1/2, c∈\0,1\. Other restrictions are imposed on λ and ζ to guarantee the…Shulin Lyu, Xun Zhou·Jul 22, 2026SaveLearn
C0-Semigroups on d.m.o. linear relationsThis article develops a theory of one-parameter semigroups for linear relations, introducing the notion of domain-multivalued orthogonal (d.m.o.) relations. We establish complete characterizations…Luis D. Regalado-Hernández, Josué I. Rios-Cangas·Jul 22, 2026SaveLearn
Adjoint L-Infinity Actions and Conserved Charges in GRIn this work we compute the conserved currents and charges associated to the action of an infinitesimal isometry (Killing field) in Einstein--Cartan--Palatini gravity. We offer a new approach to…Changsun Choi, Ryan E. Grady·Jul 22, 2026SaveLearn