Results 111 to 120 of about 71,380 (295)
The seven dimensional perfect Delaunay polytopes and Delaunay simplices
, 2016 For a lattice $L$ of $R^n$, a sphere $S(c,r)$ of center $c$ and radius $r$ is called {\em empty} if for any $v\in L$ we have $\Vert v - c\Vert \geq r$. Then the set $S(c,r)\cap L$ is the vertex set of a {\em Delaunay polytope} $P=conv(S(c,r)\cap L)$.
Sikiric, Mathieu Dutour
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Discrete & Computational Geometry, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Maximum Entropy Approach to the Realizability of Spin Correlation Matrices
Entropy, 2013 Deriving the form of the optimal solution of a maximum entropy problem, we obtain an infinite family of linear inequalities characterizing the polytope of spin correlation matrices.
Michele Pavon +2 more
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Weather and Climate Extremes: Simplex, Dynamical Systems and Hull Clustering
Journal of Geophysical Research: Atmospheres, Volume 131, Issue 4, 28 February 2026.Abstract A novel method is developed and applied to identify high‐dimensional weather and climate extremes located on the envelope of the data set within its state space. The method is based on formulating and integrating dynamical systems whose attractive set, that is, stable fixed points, is constituted of extreme states residing on the convex hull ...
A. Hannachi +6 more
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The $L^2$-torsion polytope of amenable groups
, 2018 We introduce the notion of groups of polytope class and show that torsion-free amenable groups satisfying the Atiyah Conjecture possess this property. A direct consequence is the homotopy invariance of the $L^2$-torsion polytope among $G$-CW-complexes ...
Funke, Florian
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Root, flow and order polytopes with connections to toric geometry
Forum of Mathematics, SigmaIn this paper, we study the class of polytopes which can be obtained by taking the convex hull of some subset of the points $\{e_i-e_j \ \vert \ i \neq j\} \cup \{\pm e_i\}$ in $\mathbb {R}^n$ , where $e_1,\dots ,e_n$ is the standard ...
Konstanze Rietsch +1 more
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The DNA of Calabi–Yau Hypersurfaces
Fortschritte der Physik, Volume 74, Issue 2, February 2026.Abstract Genetic Algorithms are implemented for triangulations of four‐dimensional reflexive polytopes, which induce Calabi–Yau threefold hypersurfaces via Batyrev's construction. These algorithms are shown to efficiently optimize physical observables such as axion decay constants or axion–photon couplings in string theory compactifications.
Nate MacFadden +2 more
wiley +1 more source
Tropical cycles and Chow polytopes [PDF]
, 2010 The Chow polytope of an algebraic cycle in a torus depends only on its tropicalisation. Generalising this, we associate a Chow polytope to any abstract tropical variety in a tropicalised toric variety. Several significant polyhedra associated to tropical
Fink, Alex
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Evaluating Allocations of Opportunities
International Economic Review, Volume 67, Issue 1, Page 365-397, February 2026.ABSTRACT This paper provides a robust criterion for comparing lists of probability distributions—interpreted as allocations of opportunities—faced by different social groups. We axiomatically argue in favor of comparing those lists of probability distributions on the basis of a uniform—among groups—valuation of their expected utility.
Francesco Andreoli +3 more
wiley +1 more source
The Electronic Journal of Combinatorics, 2014 The "edge polytope" of a finite graph $G$ is the convex hull of the columns of its vertex-edge incidence matrix. We study extremal problems for this class of polytopes. For $k =2, 3, 5$ we determine the maximal number of vertices of $k$-neighborly edge polytopes up to a sublinear term.
Tran, Tuan, Ziegler, Günter M.
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