Orbit determination from one position vector and a very short arc of optical observationsIn this paper we address the problem of computing a preliminary orbit of a celestial body from one topocentric position vector and a very short arc (VSA) of optical observations. Using the…Erica Scantamburlo, Giovanni F. Gronchi, Giulio Baù·Dec 22, 2023SaveLearn
A mathematical theory of the critical point of ferromagnetic Ising systemsWe develop a theory of the critical point of the ferromagnetic Ising model, whose basic objects are the ergodic (pure) states of the infinite system. It proves the existence of anomalous critical…Domingos H. U. Marchetti, Manfred Requardt, Walter F. Wreszinski·Dec 22, 2023SaveLearn
Macroscopic elasticity of the hat aperiodic tilingWe explore the macroscopic elastic behavior of the aperiodic but hyperuniform (single tile) tiling.Romain Rieger, Alexandre Danescu·Dec 22, 2023SaveLearn
On Bose-Einstein condensation in interacting Bose gases in the Kac-Luttinger modelWe study interacting Bose gases of dimensions 2 d ∈ N at zero temperature in a random model known as the Kac-Luttinger model. Choosing the pair-interaction between the bosons to be of…Chiara Boccato, Joachim Kerner, Maximilian Pechmann·Dec 22, 2023SaveLearn
Bosonization and Anomaly Indicators of (2+1)-D Fermionic Topological OrdersWe provide a mathematical proposal for the anomaly indicators of symmetries of (2+1)-d fermionic topological orders, and work out the consequences of our proposal in several nontrivial examples. Our…Arun Debray, Weicheng Ye, Matthew Yu·Dec 20, 2023SaveLearn
Random Matrices and the Free Energy of Ising-Like Models with DisorderWe consider an Ising model with quenched surface disorder, the disorder average of the free energy is the main object of interest. Explicit expressions for the free energy distribution are difficult…Nils Gluth, Thomas Guhr, Alfred Hucht·Dec 20, 2023SaveLearn
An inverse cluster expansion or the chemical potentialInteracting particle systems in a finite-volume in equilibrium are often described by a grand-canonical ensemble induced by the corresponding Hamiltonian, i.e. a finite-volume Gibbs measure. However,…Fabio Frommer·Dec 20, 2023SaveLearn
Langlands Dualities through Bethe/Gauge Correspondence for 3d Gauge TheoriesFor non-simple laced Lie algebras, the BN and CN are Langlands dual to each other in mathematical. In this article, we give another Bethe/Gauge correspondence between 3d (or…Xiang-Mao Ding, Ting Zhang·Dec 20, 2023SaveLearn
Gauge theory for quantum XYZ spin glassesNishimori's gauge theory is extended to the quantum XYZ p-spin glass model in finite dimensions. This enables us to obtain useful correlation equalities, which show also that Duhamel correlation…C. Itoi, Y. Sakamoto·Dec 20, 2023SaveLearn
String structures and loop spacesWe provide a concise and accessible introduction to (geometric) string structures, highlighting their connection to loop spaces and outlining relationships with neighboring topics.Konrad Waldorf·Dec 20, 2023SaveLearn
Calogero-Moser-Sutherland systemsWe discuss integrable many-body systems in one dimension of Calogero-Moser-Sutherland type, both classical and quantum as well as nonrelativistic and relativistic. In particular, we consider…Martin Hallnäs·Dec 20, 2023SaveLearn
Clifford-algebraic formulation of nonlinear conformal transformations in electrodynamicsWe derive a set of Clifford-algebraic formulas for two major nonlinear conformal transformations of the physical quantities related to Maxwell's equations. The superiority of these formulas over…Leehwa Yeh·Dec 20, 2023SaveLearn
On the Path Integral Formulation of Wigner-Dunkl Quantum MechanicsFeynman's path integral approach is studied in the framework of the Wigner-Dunkl deformation of quantum mechanics. We start with reviewing some basics from Dunkl theory and investigate the time…Georg Junker·Dec 20, 2023SaveLearn
Pure point diffraction and almost periodicityThis article deals with pure point diffraction and its connection to various notions of almost periodicity. We explain why the Fibonacci chain does not fit into the classical class of Bohr almost…Daniel Lenz, Timo Spindeler, Nicolae Strungaru·Dec 20, 2023SaveLearn
Determinantal structure of the overlaps for induced spherical unitary ensembleIn this note, we study the determinantal structure of the k-th conditional expectation of the overlap for induced spherical unitary ensemble. We will show the universality for the scaling limits of…Kohei Noda·Dec 20, 2023SaveLearn
Vinberg's T-Algebras. From Exceptional Periodicity to Black Hole EntropyWe introduce the so-called Magic Star (MS) projection within the root lattice of finite-dimensional exceptional Lie algebras, and relate it to rank-3 simple and semi-simple Jordan algebras. By…Alessio Marrani·Dec 19, 2023SaveLearn
Long time behaviour of the solution of Maxwell's equations in dissipative generalized Lorentz materials (II) A modal approachThis work concerns the analysis of electromagnetic dispersive media modelled by generalized Lorentz models. More precisely, this paper is the second of two articles dedicated to the long time…Maxence Cassier, Patrick Joly, Luis Alejandro Rosas Martínez·Dec 19, 2023SaveLearn
Fay Identities of Pfaffian Type for Hyperelliptic CurvesWe establish identities of Pfaffian type for the theta function associated with twice or half the period matrix of a hyperelliptic curve. They are implied by the large size asymptotic analysis of…Gaëtan Borot, Thomas Buc-d'Alché·Dec 19, 2023SaveLearn
On the integrability of hybrid Hamiltonian systemsA hybrid system is a system whose dynamics are controlled by a mixture of both continuous and discrete transitions. The integrability of Hamiltonian systems is often identified with complete…Asier López-Gordón, Leonardo J. Colombo·Dec 19, 2023SaveLearn
Pauli Hamiltonians with an Aharonov-Bohm FluxWe study a two-dimensional Pauli operator describing a charged quantum particle with spin 1/2 moving on a plane in presence of an orthogonal Aharonov-Bohm magnetic flux. We classify all the…William Borrelli, Michele Correggi, Davide Fermi·Dec 19, 2023SaveLearn
Universal behavior of the BCS energy gapWe consider the BCS energy gap (T) (essentially given by (T) ≈ (T, μ), the BCS order parameter) at all temperatures 0 T Tc up to the critical one, Tc, and…Joscha Henheik, Asbjørn Bækgaard Lauritsen·Dec 18, 2023SaveLearn
Connecting the Deep Quench Obstacle Problem with Surface Diffusion via their Steady StatesIn modeling phase transitions, it is useful to be able to connect diffuse interface descriptions of the dynamics with corresponding limiting sharp interface motions. In the case of the deep quench…Eric A. Carlen, Amy Novick-Cohen, Lydia Peres Hari·Dec 18, 2023SaveLearn
On the density of 2D critical percolation gaskets and anchored clustersWe prove a formula, first obtained by Kleban, Simmons and Ziff using conformal field theory methods, for the (renormalized) density of a critical percolation cluster in the upper half-plane…Federico Camia·Dec 18, 2023SaveLearn
An essay on deformation measures in isotropic thin shell theories. Bending versus curvatureIt has become commonplace for the stored energy function of any realistic shell model to align ``within first order" with the classical Koiter membrane-bending (flexural) shell model. In this paper,…Ionel-Dumitrel Ghiba, Peter Lewintan, Adam Sky et al.·Dec 18, 2023SaveLearn
Focusing and defocusing mKdV equation with fully asymmetric nonzero boundary conditions: the inverse scattering transformIn this paper, we investigate the inverse scattering transform(IST) for the focusing and defocusing mKdV equation with fully asymmetric nonzero boundary conditions. Our analysis focuses on the…Zhao Yi, Zhu Dinghao·Dec 17, 2023SaveLearn