Results 121 to 130 of about 5,204 (224)

Capillary ₚ-Christoffel-Minkowski problem

We solve the capillary ₚ-Christoffel--Minkowski problem in the half-space for < < + in the class of even hypersurfaces. A crucial ingredient is a non-collapsing estimate that yields lower bounds for both the height and the capillary support function.
Ivaki, Mohammad N.; orcid:, Hu, Yingxiang; orcid:   +1 more
core   +1 more source

Exploring the possibility of testing the no-hair theorem with Minkowski-deformed regular hairy black holes via photon rings

European Physical Journal C: Particles and Fields
In this paper, we investigate the optical appearance of a regular static spherically symmetric hairy black hole within the context of Minkowski deformation governed by the parameter $$\alpha $$ α .
Xilong Yang, Meirong Tang, Zhaoyi Xu
doaj   +1 more source

The Continuity and Convexity of a Nonlinear Scalarization Function with Applications in Set Optimization Problems Involving a Partial Order Relation

Mathematics
In this paper, we deal with the properties and applications of a nonlinear scalarization function for sets by using the Minkowski difference. Under some suitable assumptions, the continuity and convexity concerned with the nonlinear scalarization ...
Zi-Ru Zhang, Yang-Dong Xu
doaj   +1 more source

Jensen– and Mercer–type inequalities for h–convex functions: characterizations, refinements, and applications

Journal of Inequalities and Applications
This paper presents a unified framework for extending Jensen- and Mercer-type inequalities within the h-convex function space. By leveraging the supermultiplicative and superadditive properties of the weight function h ( t ) $h(t)$ , we refine classical ...
Sajid Ali, Rabia Bibi
doaj   +1 more source

Affine Quermassintegrals and Even Minkowski Valuations

It is shown that each continuous even Minkowski valuation on convex bodies of degree $1 \leq i \leq n - 1$ intertwining rigid motions is obtained from convolution of the $i$th projection function with a unique spherical Crofton distribution. In case of a
Schuster, Franz E., Hofstätter, Georg C., Kniefacz, Philipp   +2 more
core   +3 more sources

Integral transforms of the Minkowski question mark function

The Minkowski question mark function F(x) arises as a real distribution function of rationals in the Farey (alias, Stern-Brocot or Calkin-Wilf) tree.
Alkauskas, Giedrius
core  

Quantum mechanical stabilization of Minkowski signature wormholes [PDF]

, 1989
When one attempts to construct classical wormholes in Minkowski signature Lorentzian spacetimes violations of both the weak energy hypothesis and averaged weak energy hypothesis are encountered. Since the weak energy hypothesis is experimentally known to
Visser, M.
core  

The Generalized Minkowski Functional with Applications in Approximation Theory

, 2004
We give a systematic and thorough study of geometric notions and results connected to Minkowski's measure of symmetry and the extension of the well-known Minkowski functional to arbitrary, not necessarily symmetric convex bodies K on any (real) normed space X. Although many of the notions and results we treat in this paper can be found elsewhere in the
Révész, Szilárd Gy., Sarantopoulos, Yannis   +1 more
openaire   +3 more sources

The Gaussian Minkowski Problem for Epigraphs of Convex Functions

International Mathematics Research Notices
Abstract A variational formula is derived by combining the Gaussian volume of the epigraph of a convex function $\varphi $ and the perturbation of $\varphi $ via the infimal convolution. This formula naturally leads to a Borel measure on $\mathbb{R}^{n}$ and a Borel measure on the unit sphere $S^{n-1}$. The resulting Borel measure on $
Li, Xiao, Ye, Deping
openaire   +2 more sources

Hyperbolic vacua in Minkowski space

Journal of High Energy Physics
Families of Lorentz, but not Poincare, invariant vacua are constructed for a massless scalar field in 4D Minkowski space. These are generalizations of the Rindler vacuum with a larger symmetry group. Explicit expressions are given as squeezed excitations
Walker Melton, Filip Niewinski, Andrew Strominger, Tianli Wang   +3 more
doaj   +1 more source