Sierpiński垫片上的测地线插值

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2019-12-13 DOI:10.4171/JFG/100

Caitlin M. Davis, Laura A. LeGare, Cory McCartan, Luke G. Rogers

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引用次数: 2

摘要

我们研究了两个集合的凸插值在Sierpinski垫片上的模拟，并给出了相应的测量输运的概念。描述了插补测度自然族的结构，建立了插补不等式。一个关键的工具是一个很好的描述这些垫片上的测地线，其中一些结果已经出现在以前的文献。

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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Geodesic interpolation on Sierpiński gaskets

We study the analogue of a convex interpolant of two sets on Sierpinski gaskets and an associated notion of measure transport. The structure of a natural family of interpolating measures is described and an interpolation inequality is established. A key tool is a good description of geodesics on these gaskets, some results on which have previously appeared in the literature.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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