Tight-Binding Spectra of Finite Incidence Geometries: From Spatial Localization to SU(6) Flavor SymmetryWe investigate the spectral properties of tight-binding quantum Hamiltonians defined on the bipartite Levi graphs of finite geometric configurations. In Part I, we analyze the 103 Desargues and…Pawel Nurowski·Jun 7, 2026SaveLearn
A Unified Framework for Virtual Wave Transform: From Generalized Formulation to Excitation-Specific ProjectionWe present a unified theoretical framework for the mapping between diffusive and wave-like dynamics, formulated as a spectral integral operator acting on temporal fields. By introducing an analytic…Pengfei Zhu, Julien Lecompagnon, Philipp Daniel Hirsch et al.·Jun 7, 2026SaveLearn
A Generalized Crystalline Equivalence PrincipleWe prove a general version of the crystalline equivalence principle which gives an equivalence of categories between a category of TQFTs defined on a generic space with G-symmetry, and a category…Devon Stockall, Matthew Yu·Jun 7, 2026SaveLearn
Mutual Influence of Symmetries and Topological Field TheoriesWe study how the fusion 2-category symmetry of a fermionic (2+1)d QFT can be affected when one allows for stacking with TQFTs to be an equivalence relation for QFTs. Focusing on a simple kind of…Daniel Teixeira, Matthew Yu·Jun 7, 2026SaveLearn
Structure of Clifford groups of composite finite quantum systemsIn this paper the Clifford groups of general multipartite quantum systems with configuration space Zn1·snk, k≥ 1 are studied. It is known that the…Miroslav Korbelář, Jiří Tolar·Jun 6, 2026SaveLearn
Mathematical crystal chemistry: A formal theory for crystal structure prediction by generalized disjunctive programmingInorganic structural chemistry leads naturally to a theory for crystal structure prediction formalized by a generalized disjunctive programming (GDP), which is formulated using continuous and Boolean…Ryotaro Koshoji·Jun 6, 2026SaveLearn
Resolving the viscosity operator ambiguity on Riemannian manifolds via a kinematic selection principleOn a general Riemannian manifold the Navier-Stokes equations admit several inequivalent formulations, differing in the choice of viscous operator: the Hodge Laplacian, the Bochner Laplacian, or the…Zhi-Wei Wang, Samuel L. Braunstein·Jun 6, 2026SaveLearn
Hyperspherical Trigonometry and Corresponding Elliptic FunctionsWe develop the basic formulae of hyperspherical trigonometry in multidimensional Euclidean space, using multidimensional vector products, and their conversion to identities for elliptic functions. We…Paul Jennings, Frank Nijhoff·Jun 6, 2026SaveLearn
King Function for Shifted Gaussian: Laguerre Structure, Spectral Theory and DensityWe study King function arising as radial kernels in the laboratory-frame spherical harmonic expansion of shifted Gaussian distributions. We first clarify their relation with the co-moving Laguerre…Yanpeng Wang, Zhe Gao·Jun 5, 2026SaveLearn
Flux-explicit Cheeger bounds for magnetic Laplacians on compact metric graphsLet (Γ) be a finite compact connected metric graph and let (A∈ L∞(Γ)) be a real magnetic potential. The magnetic Laplacian (HA) with standard vertex conditions is defined by the closed…Björn Dahlke·Jun 5, 2026SaveLearn
Information theoretic measures of isotropic Dunkl oscillator in spherical coordinatesAn information theoretic analysis is done for the isotropic harmonic oscillator potential within the Dunkl-Schrödinger framework in spherical coordinates. Starting from the exact analytical…Akash Halder, Amlan K. Roy, Debraj Nath·Jun 5, 2026SaveLearn
Einstein-Kropina Metrics and Their Application in Finsler GravityWe generalize the Einstein condition for Kropina metrics obtained in the positive definite setting by Zhang, Shen and others to all signatures. As examples of Einstein-Kropina metrics L=La,b, we…Sjors Heefer, Fidel F. Villaseñor, Andrea Fuster·Jun 5, 2026SaveLearn
A survey on rigorous results for the dynamics of periodic FPU chainsIn this paper we review some analytic results on the dynamics of the FPU system. In the first part of the paper, having in mind that the FPU Hamiltonian and the Toda Hamiltonian are close each other,…Dario Bambusi, Andrea Carati, Alberto Maiocchi·Jun 5, 2026SaveLearn
Rational Heun operators on q-linear gridsRational Heun operators on the q-linear grid are presented. They are second-order q-difference operators Wq constructively defined from the requirement that they have a raising action on…Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov·Jun 5, 2026SaveLearn
The quantum group structure of long-range integrable deformationsQuantum integrable spin chains are known to possess a large family of long-range deformations generated by the local, boost and bilocal operators. Although these deformations are well-understood on…Koen Schouten, Marius de Leeuw·Jun 5, 2026SaveLearn
Anyons in the π-flux phase of fermionic matter coupled to a Z2-gauge fieldWe consider a system of weakly interacting spinful lattice fermions coupled to a dynamical Z2 gauge field. Using reflection positivity, we prove that the ground state lies in the sector…Sven Bachmann, Leonardo Goller, Marcello Porta·Jun 5, 2026SaveLearn
Unified Framework for Functional Theories of Quantum SystemsWe introduce and study a unified framework for density-functional theory and its variants for quantum systems on finite-dimensional Hilbert spaces. These theories seek to reduce the complexity…Chih-Chun Wang, Julia Liebert, Markus Penz et al.·Jun 4, 2026SaveLearn
The massless sine-Gordon model with logarithmic correlations in arbitrary dimensionIn this article, we study the sine-Gordon model with logarithmic correlations in arbitrary dimension d 1. The model is defined as a Euclidean field theory whose interaction term in the…Sami Vihko·Jun 4, 2026SaveLearn
A stochastic model for fog forecastingDespite significant advancements in parameterizations of boundary layer processes, forecasting, and nowcasting low-level clouds using numerical models remain challenging. The purpose of this study is…Elsa Cardoso-Bihlo, Boualem Khouider·Jun 4, 2026SaveLearn
Thermalization with Gaussian Quantum Cellular AutomataWe study the long-time dynamics of many-body bosonic lattice systems under translation-invariant Gaussian quantum cellular automata. We formulate two sets of conditions on GQCAs which separately…Roman Geiko, Jake Gerenraich·Jun 4, 2026SaveLearn
Harnessing Eversion Buckling for Ideal Omnidirectional Energy AbsorptionThin shells can undergo large shape changes governed by the competition between bending and membrane energies. Here, we identify an instability mechanism in everted toroidal shells, referred to as…Junjie Liu, Aijie Tang, Mingchao Liu et al.·Jun 4, 2026SaveLearn
Asymptotics of the Hankel determinant and orthogonal polynomials arising from the information theory of MIMO systemsWe consider the Hankel determinant and orthogonal polynomials with respect to the deformed Laguerre weight w(x; t) = xα e - x(x + t)λ,\; x∈ R+ with parameters $α>…Chao Min, Xiaoqing Wu·Jun 4, 2026SaveLearn
Universal deformations and universal residual stresses in incompressible isotropic Cauchy elasticityWe study universal deformations in incompressible isotropic Cauchy elastic solids with residual stress, without assuming any specific origin for the residual stress. Starting from the constitutive…Arash Yavari·Jun 3, 2026SaveLearn
Maximal Minimal Spacing for Random PointsFrom N+1 random points on a line we wish to select M+1 points so as to maximize the minimal spacing between them. We consider an initial configuration with independent and identically distributed…Fabio Deelan Cunden, Noemi Cuppone, Giovanni Gramegna et al.·Jun 3, 2026SaveLearn
On the Conicality of Causally Simple, Future Cohesive SpacetimesThe notion of conicality, recently introduced in [2403.00916], captures the extent to which the joint future of a finite set in spacetime uniquely determines the generating subset via its light cone…Claudio F. Paganini·Jun 3, 2026SaveLearn