Uniqueness of MAP estimates for inverse problems under information field theoryInformation field theory (IFT) is an emerging technique for posing infinite-dimensional inverse problems using the mathematics found in quantum field theory. Under IFT, the field inference task is…Alex Alberts, Ilias Bilionis·Jan 25, 2024SaveLearn
Travelling waves in nonlinear magneto-inductive latticesWe consider a lattice equation modelling one-dimensional metamaterials formed by a discrete array of nonlinear resonators. We focus on periodic travelling waves due to the presence of a periodic…M. Agaoglou, M. Feckan, M. Pospisil et al.·Jan 25, 2024SaveLearn
Pedal and contrapedal curves of mixed-type Minkowski plane curvesPedal and contrapedal curves are important study objects of plane curves. As for a mixed-type Minkowski plane curve, since the definitions of the pedal and contrapedal curves at lightlike points can…Xin Zhao, Pengcheng Li·Jan 25, 2024SaveLearn
Quasi-local masses in General relativity and their positivity: Spinor approachWe study the quasi-local masses arising in general relativity using spinors and prove their positivity property. This leads to the question of a pure quasi-local proof of the positivity of the…Puskar Mondal, Shing-Tung-Yau·Jan 25, 2024SaveLearn
Axioms for Quantum Yang-Mills Theories -- 2. Minkowski AxiomsThis paper presents the axioms for a quantum Yang-Mills theory in the Minkowski spacetime. There are two routes of analytic continuation for the Schwinger functions, namely the Wightman functions and…Min Chul Lee·Jan 25, 2024SaveLearn
Bifurcation Results for Traveling Waves in Nonlinear Magnetic MetamaterialsIn this work, we study a model of a one-dimensional magnetic metamaterial formed by a discrete array of nonlinear resonators. We focus on periodic and localized traveling waves of the model, in the…M. Agaoglou, V. M. Rothos, D. J Fratzeskakis et al.·Jan 24, 2024SaveLearn
On the Set-Representable Orthomodular Posets that are Point-DistinguishingLet us denote by SOMP the class of all set-representable orthomodular posets and by PD SOMP those elements of SOMP in which any pair of points in the underlying…Dominika Burešová, Pavel Pták·Jan 24, 2024SaveLearn
Quantum Logics that are Symmetric-difference-closedIn this note we contribute to the recently developing study of "almost Boolean" quantum logics (i.e. to the study of orthomodular partially ordered sets that are naturally endowed with a symmetric…Dominika Burešová, Pavel Pták·Jan 24, 2024SaveLearn
Gelation and localization in multicomponent coagulation with multiplicative kernel through branching processesThe multicomponent coagulation equation is a generalisation of the Smoluchowski coagulation equation in which size of a particle is described by a vector. As with the original Smoluchowski equation,…Jochem Hoogendijk, Ivan Kryven, Camillo Schenone·Jan 23, 2024SaveLearn
On a Proof of the ADKMV Conjecture -- 3-KP Integrability of the Topological VertexWe present a mathematical proof of the Aganagic-Dijkgraaf-Klemm-Mari\~no-Vafa Conjecture proposed in 2006, which states that the generating function of the topological vertex, i.e., the generating…Zhiyuan Wang, Chenglang Yang, Jian Zhou·Jan 23, 2024SaveLearn
Geometry of MechanicsThe aim of this work is to study the geometry underlying mechanics and its application to describe autonomous and nonautonomous conservative dynamical systems of different types; as well as…Miguel C. Muñoz-Lecanda, Narciso Román-Roy·Jan 23, 2024SaveLearn
Spectra and pseudo-spectra of tridiagonal k-Toeplitz matrices and the topological origin of the non-Hermitian skin effectWe establish new results on the spectra and pseudo-spectra of tridiagonal k-Toeplitz operators and matrices. In particular, we prove the connection between the winding number of the eigenvalues of…Habib Ammari, Silvio Barandun, Yannick De Bruijn et al.·Jan 23, 2024SaveLearn
Magnetic Dirac systems: Violation of bulk-edge correspondence in the zigzag limitWe consider a Dirac operator with constant magnetic field defined on a half-plane with boundary conditions that interpolate between infinite mass and zigzag. By a detailed study of the energy…Loïc Le Treust, Jean-Marie Barbaroux, Horia D. Cornean et al.·Jan 23, 2024SaveLearn
On the Evolution During Growth of Regular Boundaries of Bodies into FractalsGeneralizing smooth volumetric growth to the singular case, using de Rham currents and flat chains, we demonstrate how regular boundaries of bodies may evolve to fractals.Vladimir Goldshtein, Reuven Segev·Jan 22, 2024SaveLearn
One-dimensional non-Hermitian band structures as Riemann surfacesWe present the viewpoint of treating one-dimensional band structures as Riemann surfaces, linking the unique properties of non-Hermiticity to the geometry and topology of the Riemann surface. Branch…Heming Wang, Lingling Fan, Shanhui Fan·Jan 22, 2024SaveLearn
Slow propagation velocities in Schr\"odinger operators with large periodic potentialSchr\"odinger operators with periodic potential have generally been shown to exhibit ballistic transport. In this work, we investigate if the propagation velocity, while positive, can be made…Houssam Abdul-Rahman, Mohammed Darras, Christoph Fischbacher et al.·Jan 21, 2024SaveLearn
On the spectrum of magnetic Laplacian on the Lieb latticeWe study the magnetic Laplacian on the Lieb lattice, and prove Cantor spectrum for arbitrary irrational magnetic flux. We also provide a complete spectral analysis for the reduced one-dimensional…Moises Gomez Solis, Dylan Spedale, Fan Yang·Jan 21, 2024SaveLearn
Permutation group entropy: a new route to complexity for real-valued processesThis is a review of group entropy and its application to permutation complexity. Specifically we revisit a new approach to the notion of complexity in time serie analysis, based on both permutation…José M. Amigó, Roberto Dale, Piergiulio Tempesta·Jan 20, 2024SaveLearn
Bessel kernel determinants and integrable equationsWe derive differential equations for multiplicative statistics of the Bessel determinantal point process depending on two parameters. In particular, we prove that such statistics are solutions to an…Giulio Ruzza·Jan 20, 2024SaveLearn
Exact analytical solution for the Sakiadis boundary layerIt has recently been established [Naghshineh et al., IMA J. of Appl. Math., 88, 1 (2023)] that a convergent series solution may be obtained for the Sakiadis boundary layer problem once key parameters…Nathaniel S. Barlow, W. Cade Reinberger, Steven J. Weinstein·Jan 19, 2024SaveLearn
Thermodynamic limit for the magnetic uniform electron gas and representability of density-current pairsAlthough the concept of the uniform electron gas is essential to quantum physics, it has only been defined recently in a rigorous manner by Lewin, Lieb and Seiringer. We extend their approach to…Mihály A. Csirik, Andre Laestadius, Erik I. Tellgren·Jan 19, 2024SaveLearn
Catastrophe Theory for -invariant Unfoldings with Applications to Quantum Many-body TheoryThe theory of singularities and its broad ramifications, especially catastrophe theory, have found fertile ground in some areas of physics (e.g., caustics, wave optics) for their applications. In the…Kauê Rodrigues Alves·Jan 19, 2024SaveLearn
Many-body Stark resonances by the complex absorbing potential methodThe resonances of many-body Stark Hamiltonians are characterized by the complex absorbing potential method. Namely, the resonances are shown to be the limit points of complex discrete eigenvalues of…Kentaro Kameoka·Jan 19, 2024SaveLearn
Biorthogonal measures, polymer partition functions, and random matricesWe develop the study of a particular class of biorthogonal measures, encompassing at the same time several random matrix models and partition functions of polymers. This general framework allows us…Mattia Cafasso, Tom Claeys·Jan 18, 2024SaveLearn
Entropy Production of Quantum Reset ModelsWe analyze the entropy production of Quantum Reset Models (QRMs) corresponding to quantum dynamical semigroups driven by Lindbladians motivated by a probabilistic description of dissipation in an…Géraldine Haack, Alain Joye·Jan 18, 2024SaveLearn