Results 111 to 120 of about 5,204 (224)
An extension of Minkowski's singular function
The authors introduce a family of continuous strictly increasing singular (Cantor type) functions \(g_\lambda :[0,1]\rightarrow [0,1]\), \(\lambda \in (0,1)\). The Hausdorff dimension of the set of points where \(g_\lambda \) has a nonvanishing derivative is computed.
Tichy, R.F., Uitz, J.
openaire +2 more sources
Validation of machine learning based scenario generators
Abstract Machine learning (ML) methods are becoming increasingly important for designing economic scenario generators for internal models. Validating data‐driven models requires different methods than validating classical, theory‐based models. We discuss two novel aspects of such validation: first, checking the multivariate distribution of risk factors,
Gero Junike, Solveig Flaig, Ralf Werner
wiley +1 more source
Sharp estimates for the Laplacian torsional rigidity with negative Robin boundary conditions
Abstract Motivated by pioneering works of Bandle and Wagner, given a bounded Lipschitz domain Ω⊂Rd$\Omega \subset \mathbb {R}^d$ with d⩾3$d\geqslant 3$, we consider the Robin–Laplacian torsional rigidity τα(Ω)$\tau _\alpha (\Omega)$ with negative boundary parameter α$\alpha$ and we show that sharp inequalities for τα(Ω)$\tau _\alpha (\Omega)$ hold if ...
Nunzia Gavitone +2 more
wiley +1 more source
Thurston norm for coherent right‐angled Artin groups via L2$L^2$‐invariants
Abstract We define a new notion of splitting complexity for a group G$G$ along a non‐trivial integral character ϕ∈H1(G;Z)$\phi \in H^1(G; \mathbb {Z})$. If G$G$ is a one‐ended coherent right‐angled Artin group, we show that the splitting complexity along an epimorphism ϕ:G→Z$\phi \colon G \rightarrow \mathbb {Z}$ equals the L2$L^2$‐Euler characteristic
Monika Kudlinska
wiley +1 more source
Modified models of a free boson string and their solutions
In this paper we consider the modified models of a free boson string and examine their dynamics. Modified models of the boson string are investigated from the point of view of the second order formalism (the Polyakov action).
З.К. Шанина, О.В. Разина
doaj +1 more source
The Hasse-Minkowski theorem concerns the classification of quadratic forms over global fields (i.e., finite extensions of Q and rational function fields with a finite constant field). Hasse proved the theorem over the rational numbers in his Ph.D. thesis
Gamzon, Adam
core
Investigation of the Bell-CHSH inequality in diamond regions
A numerical setup for the Bell-CHSH inequality for causal diamonds in $$1+1$$ 1 + 1 Minkowski spacetime is presented. Upon choosing a suitable set of test functions supported in the diamonds, sensible violations are reported for the correlation function ...
M. S. Guimaraes +2 more
doaj +1 more source
3D structural analysis: sensitivity of Minkowski functionals
SummaryThe Minkowski functionals, a family of statistical measures based on the Euler–Poincaré characteristic of n‐dimensional space, are the complete set of additive morphological measures and can be simply calculated from local contributions. As such, they have found a wide range of applications.
Arns, Christoph +2 more
openaire +3 more sources
Asymptotic symmetries and Weinberg’s soft photon theorem in Mink d+2
We show that Weinberg’s leading soft photon theorem in massless abelian gauge theories implies the existence of an infinite-dimensional large gauge symmetry which acts non-trivially on the null boundaries ± of (d + 2)-dimensional Minkowski spacetime ...
Temple He, Prahar Mitra
doaj +1 more source
The physical properties of an exact solution of Einstein's field equations are examined. This spherically symmetric perfect fluid solution contains expansion, acceleration and shear. There exist models with regions of spacetime where the pressure and the
H. Knutsen
doaj +1 more source

