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Constructive Existence of Minkowski Functionals [PDF]
Proceedings of the American Mathematical Society, 1992 In Bishop’s constructive mathematics, the framework of this paper, there are many situations where we cannot easily prove the existence of functionals whose existence is a trivial consequence of classical logic. One such functional is the Minkowski functional of a convex absorbing set.
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Topological correlation functions in Minkowski spacetime [PDF]
Nuclear Physics B, 1995 We consider a class of non-unitary Toda theories based on the Lie superalgebras $A^{(1)}(n,n)$ in two-dimensional Minkowski spacetime, which can be twisted into a topological sector. In particular we study the simplest example with $n=1$ and real fields, and show how this theory can be treated as an integrable perturbation of the $A(1,0 ...
Penati, S., Zanon, D.
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Journal of Function Spaces, 2022 This paper is aimed at presenting the unified integral operator in its generalized form utilizing the unified Mittag-Leffler function in its kernel. We prove the boundedness of this newly defined operator.
Tingmei Gao +4 more
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Axioms, 2021 This paper presents and compares the optimal solutions and the theoretical and empirical best Lipschitz constants between an aggregation function and associated idempotized aggregation function.
Hui-Chin Tang, Wei-Ting Chen
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Minkowski-Fock states in accelerated frames [PDF]
, 2022 An explicit Wigner formulation of Minkowski particle states for non-inertial observers is unknown. Here, we derive a general prescription to compute the characteristic function for Minkowski-Fock states in accelerated frames.
Falcone, Riccardo +3 more
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New approaches to probing Minkowski functionals [PDF]
Monthly Notices of the Royal Astronomical Society, 2013 We generalize the concept of the ordinary skew-spectrum to probe the effect of non-Gaussianity on the morphology of Cosmic Microwave Background (CMB) maps in several domains: in real-space (where they are commonly known as cumulant-correlators), and in harmonic and needlet bases.
Munshi D +5 more
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The Brunn-Minkowski inequality and a Minkowski problem for $\mathcal{A}$-harmonic Green's function [PDF]
Advances in Calculus of Variations, 2018 76 Pages.
Akman, Murat +3 more
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Multivariate Dynamic Sneak-Out Inequalities on Time Scales
Journal of Mathematics, 2021 In this study, we extend some “sneak-out” inequalities on time scales for a function depending on more than one parameter. The results are proved by using the induction principle and time scale version of Minkowski inequalities.
Ammara Nosheen +4 more
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Stages of Reionization as Revealed by the Minkowski Functionals [PDF]
The Astrophysical Journal, 2019 Abstract We study the evolution of the hydrogen ionization field during the epoch of reionization (EoR) using seminumerical simulations. By calculating the Minkowski functionals (MFs) of the 21 cm brightness temperature field, which provides a quantitative description of topology of the neutral and ionized regions, we find that the ...
Zhaoting Chen +3 more
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A note on the smoothness of the Minkowski function [PDF]
Complex Variables and Elliptic Equations, 2020 The Minkowski function is a crucial tool used in the study of balanced domains and, more generally, quasi-balanced domains in several complex variables. If a quasi-balanced domain is bounded and pseudoconvex then it is well-known that its Minkowski function is plurisubharmonic.
Pranav Haridas, Jaikrishnan Janardhanan
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