The Non-Convergence of Steiner Symmetrizations

Q3 Multidisciplinary

Wuhan University Journal of Natural Sciences Pub Date : 2023-06-01 DOI:10.1051/wujns/2023283217

Tian Wang, Youjiang Lin

引用次数: 0

Abstract

In this paper, we demonstrate the existence of iterated Steiner symmetrizations of [see formula in PDF] that does not converge, even if the sequence of directions is dense in the unit sphere.

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斯坦纳对称化的非收敛性

在本文中，我们证明了[见PDF中的公式]的迭代Steiner对称性的存在性，即使方向序列在单位球中是稠密的，它也不收敛。

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

Wuhan University Journal of Natural Sciences Multidisciplinary-Multidisciplinary

CiteScore

0.40

自引率

0.00%

发文量

2485

期刊介绍： Wuhan University Journal of Natural Sciences aims to promote rapid communication and exchange between the World and Wuhan University, as well as other Chinese universities and academic institutions. It mainly reflects the latest advances being made in many disciplines of scientific research in Chinese universities and academic institutions. The journal also publishes papers presented at conferences in China and abroad. The multi-disciplinary nature of Wuhan University Journal of Natural Sciences is apparent in the wide range of articles from leading Chinese scholars. This journal also aims to introduce Chinese academic achievements to the world community, by demonstrating the significance of Chinese scientific investigations.