标度超复环诱导的算子动力学系统

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-05-17 DOI:10.1007/s00006-023-01272-0

Daniel Alpay, Ilwoo Cho

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引用次数: 2

摘要

在本文中，我们考虑了一类超复环\（｛\mathscr｛H｝｝＝\left\｛\math bb｛H}｝_｛t｝\right\｝_{t\In｛\mattbb｛R｝}｝\）被\（｛\mathbb｛R｝）标度的族，以及\（｛\ mathbb｛R}｝）的动力系统通过\（｛\mathbb{R｝｝\的特定作用\。即，我们研究了由\（｛\mathscr｛H｝｝）诱导的动力系统的分析。特别是，我们对由我们的超复形分析所指示的动力系统的自由概率信息感兴趣。

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Dynamical Systems of Operators Induced by Scaled Hypercomplex Rings

In this paper, we consider a family of the hypercomplex rings \({\mathscr {H}}=\left\{ {\mathbb {H}}_{t}\right\} _{t\in {\mathbb {R}}}\) scaled by \({\mathbb {R}}\), and the dynamical system of \({\mathbb {R}}\) acting on \({\mathscr {H}}\) via a certain action \(\theta \) of \({\mathbb {R}}\). i.e., we study an analysis on dynamical system induced by \({\mathscr {H}}\). In particular, we are interested in free-probabilistic information on the dynamical system dictated by our hypercomplex analysis.

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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.