关于遍历分解的一个注记
A Remark on Ergodic Decomposition
DOI: 10.12677/PM.2019.93038, PDF,  被引量    科研立项经费支持
作者: 冯 静：华南理工大学数学学院，广东 广州
关键词: 保测变换；遍历性；遍历分解；Measure Preserving Transformation； Ergodicity； Ergodic Decomposition
摘要: 遍历性是遍历论中的基本概念之一，遍历分解定理告诉我们任何一个不变测度都可以表示成一些遍历测度的积分。本文对一类具有遍历根系统的保测变换的遍历分解给出了一个简单的刻画。
Abstract: Ergodicity is a fundamental notion in ergodic theory. The Ergodic Decomposition Theorem indicates that any invariant measures can be represented by the integral of some ergodic components. This paper is concerned with the measure preserving transformation with ergodic root system, and shows that the ergodic decomposition of such a system is simple.
文章引用：冯静. 关于遍历分解的一个注记[J]. 理论数学, 2019, 9(3): 287-290. https://doi.org/10.12677/PM.2019.93038

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