Results 51 to 60 of about 19,164 (129)
Evaluating Allocations of Opportunities
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
Flexible cross-polytopes in spaces of constant curvature
We construct self-intersected flexible cross-polytopes in the spaces of constant curvature, that is, the Euclidean spaces, the spheres, and the Lobachevsky spaces of all dimensions.
Gaifullin, Alexander A.
core +1 more source
A tropical approach to rigidity: Counting realisations of frameworks
Abstract A realisation of a graph in the plane as a bar‐joint framework is rigid if there are finitely many other realisations, up to isometries, with the same edge lengths. Each of these finitely many realisations can be seen as a solution to a system of quadratic equations prescribing the distances between pairs of points.
Oliver Clarke +6 more
wiley +1 more source
Toric amplitudes and universal adjoints
Abstract A toric amplitude is a rational function associated with a simplicial polyhedral fan. The definition is inspired by scattering amplitudes in particle physics. We prove algebraic properties of such amplitudes and study the geometry of their zero loci. These hypersurfaces play the role of Warren's adjoint via a dual volume interpretation.
Simon Telen
wiley +1 more source
Volumes of Polytopes Without Triangulations
The geometry of the dual amplituhedron is generally described in reference to a particular triangulation. A given triangulation manifests only certain aspects of the underlying space while obscuring others, therefore understanding this geometry without ...
Enciso, Michael
core +1 more source
ABSTRACT Parametric model order reduction by matrix interpolation allows for efficient prediction of the behavior of dynamic systems without requiring knowledge about the underlying parametric dependency. Within this approach, reduced models are first sampled and then made consistent with each other by transforming the underlying reduced bases. Finally,
Sebastian Resch‐Schopper +2 more
wiley +1 more source
Dynamical partitions of space in any dimension
Topologically stable cellular partitions of D dimensional spaces are studied. A complete statistical description of the average structural properties of such partition is given in term of a sequence of D/2-1 (or (D-1)/2) variables for D even (or odd ...
Aste, Tomaso
core +1 more source
Deadbeat Robust Model Predictive Control: Robustness Without Computing Robust Invariant Sets
ABSTRACT Deadbeat Robust Model Predictive Control (DRMPC) is introduced as a new approach of Robust Model Predictive Control (RMPC) for linear systems with additive disturbances. Its main idea is to completely extinguish the effect of the disturbances in the predictions within a small number of time steps, called the deadbeat horizon.
Georg Schildbach
wiley +1 more source
A Product Formula for the Normalized Volume of Free Sums of Lattice Polytopes
The free sum is a basic geometric operation among convex polytopes. This note focuses on the relationship between the normalized volume of the free sum and that of the summands.
A. G. Khovanskii +13 more
core +1 more source
Additive Manufacturing of Negative Thermal Expansion Metamaterials Using Steels
Architected lattices with tunable negative thermal expansion are fabricated from common steels using laser powder bed fusion metal additive manufacturing. Optimized multimaterial interfaces and geometry‐driven design produce robust, defect‐minimized structures that remain dimensionally stable up to 300 °C, enabling scalable solutions for thermal ...
Devashish Dubey +4 more
wiley +1 more source

