Results 91 to 100 of about 90,571 (200)
Extreme value laws for fractal intensity functions in dynamical systems: Minkowski analysis
Typically, in the dynamical theory of extremal events, the function that gauges the intensity of a phenomenon is assumed to be convex and maximal, or singular, at a single, or at most a finite collection of points in phase--space.
Mantica, Giorgio, Perotti, Luca
core +1 more source
Boundary unique continuation in planar domains by conformal mapping
Abstract Let Ω⊂R2$\Omega \subset \mathbb {R}^2$ be a chord arc domain. We give a simple proof of the the following fact, which is commonly known to be true: a nontrivial harmonic function which vanishes continuously on a relatively open set of the boundary cannot have the norm of the gradient which vanishes on a subset of positive surface measure (arc ...
Stefano Vita
wiley +1 more source
In this paper, we investigate the representation of curves on the lightlike cone Q 2 3 $\mathbb {Q}^{3}_{2}$ in Minkowski space R 2 4 $\mathbb {R}^{4}_{2}$ by structure functions.
Nemat Abazari +4 more
doaj +1 more source
Equivariant mappings and invariant sets on Minkowski space
In this paper we introduce the systematic study of invariant functions and equivariant mappings defined on Minkowski space under the action of the Lorentz group.
de Oliveira, Leandro Nery, Manoel, Miram
core
Lorentzian homogeneous structures with indecomposable holonomy
Abstract For a Lorentzian homogeneous space, we study how algebraic conditions on the isotropy group affect the geometry and curvature of the homogeneous space. More specifically, we prove that a Lorentzian locally homogeneous space is locally isometric to a plane wave if it admits an Ambrose–Singer connection with indecomposable, non‐irreducible ...
Steven Greenwood, Thomas Leistner
wiley +1 more source
Robust Inverse Material Design With Physical Guarantees Using the Voigt‐Reuss Net
ABSTRACT We apply the Voigt‐Reuss net, a spectrally normalized neural surrogate introduced in [38], for forward and inverse mechanical homogenization with a key guarantee that all predicted effective stiffness tensors satisfy Voigt‐Reuss bounds in the Löwner sense during training, inference, and gradient‐driven optimization.
Sanath Keshav, Felix Fritzen
wiley +1 more source
Minkowski content and fractal curvatures of self-similar tilings and generator formulas for self-similar sets [PDF]
We study Minkowski contents and fractal curvatures of arbitrary self-similar tilings (constructed on a feasible open set of an IFS) and the general relations to the corresponding functionals for self-similar sets.
Winter, Steffen
core
Quantum entanglement of nontrivial spacetime topology
We analyze the entanglement behaviors for two accelerating atoms interacting with a massless scalar field in the cosmic string spacetime. We calculate different correlation functions for different spacetime topologies. We find that entanglement behaviors
Zhiming Huang
doaj +1 more source
Lie Algebras and Braided Geometry
We show that every Lie algebra or superLie algebra has a canonical braiding on it, and that in terms of this its enveloping algebra appears as a flat space with braided-commuting coordinate functions.
Majid, Shahn
core +1 more source
Celestial holography revisited. Part II. Correlators and Källén-Lehmann
In this work we continue the investigation of the extrapolate dictionary for celestial holography recently proposed in [1], at both the perturbative and non-perturbative level.
Lorenzo Iacobacci +2 more
doaj +1 more source

