全局分形变换与全局寻址

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2018-07-27 DOI:10.4171/JFG/65

A. Vince

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引用次数: 2

摘要

吸引子是迭代函数系统(IFS)的中心对象，分形变换是从一个IFS的吸引子到另一个IFS的吸引子的自然映射。本文给出了一个全局的观点，说明了如何将一个分形变换的定域从一个内部非空的吸引子扩展到周围空间。密切相关的是从这样一个吸引子的寻址扩展到周围空间的点集。得到了这类全局分形变换的性质，并基于全局地址构造了分块。

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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Global fractal transformations and global addressing

The attractor is a central object of an iterated function system (IFS), and fractal transformations are the natural maps from the attractor of one IFS to the attractor of another. This paper presents a global point of view, showing how to extend the domain of a fractal transformation from an attractor with non-empty interior to the ambient space. Intimitely related is the extension of addressing from such an attractor to the set of points of the ambient space. Properties of such global fractal transformations are obtained, and tilings are constructed based on global addresses.

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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.