Lie-Hamilton systems associated with the symplectic Lie algebra sp(6, R)New classes of Lie-Hamilton systems are obtained from the six-dimensional fundamental representation of the symplectic Lie algebra sp(6,R). The ansatz is based on a recently…O. Carballal, R. Campoamor-Stursberg, F. J. Herranz·Sep 27, 2024SaveLearn
From Clifford Bundles to Spinor Classification: Algebraic and Geometric Approaches, and New Spinor Fields in Flux CompactificationsBy bridging geometric and algebraic concepts, this dissertation lays the groundwork for a comprehensive study of the Clifford structures on bundles and spinor fields. We delve into the…Deborah Gonçalves Fabri·Sep 26, 2024SaveLearn
The factorial growth of topological recursionWe show that the n-point, genus-g correlation functions of topological recursion on any regular spectral curve with simple ramifications grow at most like (2g - 2 + n)! as $g →…Gaëtan Borot, Bertrand Eynard, Alessandro Giacchetto·Sep 26, 2024SaveLearn
Multi-band superconductors have enhanced critical temperaturesWe introduce a multi-band BCS free energy functional and prove that for a multi-band superconductor the effect of inter-band coupling can only increase the critical temperature, irrespective of its…Joscha Henheik, Edwin Langmann, Asbjørn Bækgaard Lauritsen·Sep 25, 2024SaveLearn
Functional Integral Construction of Topological Quantum Field TheoryWe introduce regular stratified piecewise linear manifolds to describe lattices and investigate the lattice model approach to topological quantum field theory in all dimensions. We introduce the…Zhengwei Liu·Sep 25, 2024SaveLearn
Eigenvalue distribution of large weighted multipartite random sparse graphsWe investigate the distribution of eigenvalues of weighted adjacency matrices from a specific ensemble of random graphs. We distribute N vertices across a fixed number of components, with…Valentin Vengerovsky·Sep 25, 2024SaveLearn
Prolate Spheroidal Wave Functions and the Accuracy and Dimensionality of Spectral AnalysisThe main result of this thesis is an efficient protocol to determine the frequencies of a signal C(t)= Σk |ak|2 ei ωk t, which is given for a finite time, to a high degree of…Timothy Stroschein·Sep 25, 2024SaveLearn
An Exposition on the Kaniadakis -Deformed Decay Differential EquationKaniadakis deformed -mathematics is an area of mathematics that has found relevance in the analysis of complex systems. Specifically, the mathematical framework in the context of a first-order…Rohan Bolle, Ibrahim Jarra, Jeffery A. Secrest·Sep 24, 2024SaveLearn
A Kac-Moody algebra associated to the non-compact manifold SL(2, R)We construct explicitly a Kac-Moody algebra associated to SL(2, R) in two different but equivalent ways: either by identifying a Hilbert basis of L2(SL(2, R)) or by the…Rutwig Campoamor-Strusberg, Alessio Marrani, Michel Rausch de Traubenberg·Sep 24, 2024SaveLearn
Entropic Fluctuations in Statistical Mechanics II. Quantum Dynamical SystemsThe celebrated Evans-Searles, respectively Gallavotti-Cohen, fluctuation theorem concerns certain universal statistical features of the entropy production rate of a classical system in a transient,…T. Benoist, L. Bruneau, V. Jakšić et al.·Sep 23, 2024SaveLearn
Boundary overlap in the open XXZ spin chainIn this paper we compute the overlaps of the ground states for the open spin chains after a change of one of the boundary magnetic fields. It can be considered as the first step toward the study of…Charbel Abetian, Nikolai Kitanine, Veronique Terras·Sep 23, 2024SaveLearn
Exactly solvable Schr\"odinger operators related to the confluent equationOur paper investigates one-dimensional Schr\"odinger operators defined as closed operators on L2(R) or L2(R+) that are exactly solvable in terms of confluent functions (or,…Jan Dereziński, Jinyeop Lee·Sep 23, 2024SaveLearn
Applications of Chebyshev polynomials and Toeplitz theory to topological metamaterialsWe survey the use of Chebyshev polynomials and Toeplitz theory for studying topological metamaterials. We consider both Hermitian and non-Hermitian systems of subwavelength resonators and provide a…Habib Ammari, Silvio Barandun, Ping Liu·Sep 23, 2024SaveLearn
A categorical view of Bell's inequalities in quantum field theoryWe propose a generalization of the description of Bell's inequalities in algebraic quantum field theory (AQFT) to the context of locally covariant quantum field theory (LCQFT). We use the functorial…Rafael Grossi, João C. A. Barata·Sep 23, 2024SaveLearn
Effective Dynamics of Local Observables for Extended Fermi Gases in the High-Density RegimeWe give a rigorous derivation of the Hartree equation for the many-body dynamics of pseudo-relativistic Fermi systems at high density 1, on arbitrarily large domains, at zero…Luca Fresta, Marcello Porta, Benjamin Schlein·Sep 23, 2024SaveLearn
∂-problem for focusing nonlinear Schr\"odinger equation and soliton shieldingWe consider soliton gas solutions of the Focusing Nonlinear Schr\"odinger (NLS) equation, where the point spectrum of the Zakharov-Shabat linear operator condensate in a bounded domain D…Marco Bertola, Tamara Grava, Giuseppe Orsatti·Sep 23, 2024SaveLearn
Generalized boson and fermion operators with a maximal total occupation propertyWe propose a new generalization of the standard (anti-)commutation relations for creation and annihilation operators of bosons and fermions. These relations preserve the usual symmetry properties of…N. I. Stoilova, J. Van der Jeugt·Sep 23, 2024SaveLearn
Constructing Nearby Commuting Matrices for Ogata's Theorem on Macroscopic ObservablesResolving a conjecture of von Neumann, Ogata's theorem in arXiv:1111.5933 showed the highly nontrivial result that arbitrarily many matrices corresponding to macroscopic observables with N sites…David Herrera·Sep 23, 2024SaveLearn
Jacobi algebroids and Jacobi sigma modelsThe definition of an action functional for the Jacobi sigma models, known for Jacobi brackets of functions, is generalized to Jacobi bundles, i.e., Lie brackets on sections of (possibly…Fabio Di Cosmo, Katarzyna Grabowska, Janusz Grabowski·Sep 22, 2024SaveLearn
A Bekenstein-type bound in QFTLet B be a spacetime region of width 2R > 0, and φ a vector state localized in B. We show that the vacuum relative entropy of φ, on the local von Neumann algebra of B, is bounded by 2π…Roberto Longo·Sep 22, 2024SaveLearn
The discrete analogue of the GaussianThis paper illustrates the utility of the heat kernel on Z as the discrete analogue of the Gaussian density function. It is the two-variable function KZ(t,x)=e-2tIx(2t)…Gautam Chinta, Jay Jorgenson, Anders Karlsson et al.·Sep 22, 2024SaveLearn
Correlation Function of Self-Conjugate Partitions: q-Difference Equation and QuasimodularityIn this paper, we study the uniform measure for the self-conjugate partitions. We derive the q-difference equation which is satisfied by the n-point correlation function related to the uniform…Zhiyong Wang, Chenglang Yang·Sep 21, 2024SaveLearn
A remark on the binding condition by the decay of particle's potentialThe system of a particle interacting with a Bose field is investigated. It is proven that the binding condition holds by the decay of particle's potential. As an application, the exponential decay of…Toshimitsu Takaesu·Sep 21, 2024SaveLearn
Space-Time Statistical Solutions of the Incompressible Euler Equations and Landau-Lifshitz Fluctuating HydrodynamicsWe study rigorously the infinite Reynolds limit of the solutions of the Landau-Lifschitz equations of fluctuating hydrodynamics for an incompressible fluid on a d-dimensional torus for d≥ 2.…Gregory L. Eyink, Lowen Peng·Sep 19, 2024SaveLearn
Symplectic fermions in general domainsWe review the basic features of a logarithmic conformal field theory that arise in the context of the scaling limit of lattice models. The theory of interest is the symplectic fermions, whose central…David Adame-Carrillo·Sep 19, 2024SaveLearn