Floating and Illumination Bodies for Polytopes: Duality Results.

IF 1 3区数学 Q1 MATHEMATICS

Discrete Analysis Pub Date : 2017-09-07 DOI:10.19086/DA.8973

Olaf Mordhorst, E. Werner

引用次数: 8

Abstract

We consider the question how well a floating body can be approximated by the polar of the illumination body of the polar. We establish precise convergence results in the case of centrally symmetric polytopes. This leads to a new affine invariant which is related to the cone measure of the polytope.

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多面体的浮动体和照明体:对偶结果。

我们考虑了一个漂浮体可以在多大程度上近似于极的照明体的极性的问题。我们在中心对称多面体的情况下建立了精确的收敛结果。这导致了一个新的仿射不变量，它与多面体的锥测度有关。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Discrete Analysis Mathematics-Algebra and Number Theory

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

17 weeks

期刊介绍： Discrete Analysis is a mathematical journal that aims to publish articles that are analytical in flavour but that also have an impact on the study of discrete structures. The areas covered include (all or parts of) harmonic analysis, ergodic theory, topological dynamics, growth in groups, analytic number theory, additive combinatorics, combinatorial number theory, extremal and probabilistic combinatorics, combinatorial geometry, convexity, metric geometry, and theoretical computer science. As a rough guideline, we are looking for papers that are likely to be of genuine interest to the editors of the journal.