定向熵与平斯克 $$\sigma $$ -代数的 $$\mathbb {Z}^{2}$ -作用

IF 1.1 4区数学 Q1 MATHEMATICS

Communications in Mathematics and Statistics Pub Date : 2024-01-17 DOI:10.1007/s40304-023-00369-z

Runju Wei, Leiye Xu, Xiaomin Zhou

引用次数: 0

摘要

本文研究了 $\mathbb {R}^2$ 中沿无理方向的方向熵，并提出了 $\mathbb {Z}^2$-MPSs 的方向平斯克（（sigma）-代数）结构。

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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Directional Entropy and Pinsker $$\sigma $$ -Algebra for $$\mathbb {Z}^{2}$$ -Actions

In this paper, we study the directional entropy along irrational directions in $\mathbb {R}^2$ and present the structure of directional Pinsker $\sigma $-algebra of $\mathbb {Z}^2$-MPSs.

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来源期刊

Communications in Mathematics and Statistics Mathematics-Statistics and Probability

CiteScore

1.80

自引率

0.00%

发文量

期刊介绍： Communications in Mathematics and Statistics is an international journal published by Springer-Verlag in collaboration with the School of Mathematical Sciences, University of Science and Technology of China (USTC). The journal will be committed to publish high level original peer reviewed research papers in various areas of mathematical sciences, including pure mathematics, applied mathematics, computational mathematics, and probability and statistics. Typically one volume is published each year, and each volume consists of four issues.