Simple systems and their higher order self-joinings
Simple systems and their higher order self-joinings
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简单系统及其高阶自联结
DOI：
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发表时间：
1992
期刊：
影响因子：
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通讯作者：
Daniel J. Rudolph
中科院分区：
文献类型：
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作者：
E. Glasner;B. Host;Daniel J. Rudolph
这项工作的目的是研究简单系统的连接。首先讨论了一个简单系统与另一个遍历系统的联接；然后是三个系统的两两独立连接其中一个是简单的。得到的主要结果是：(1)具有绝对连续谱型的无非平凡因子的弱混合简单系统是所有阶的简单系统。(2)一个简单阶数为3的弱混合系统是所有阶数都简单的。
The purpose of this work is to study the joinings of simple systems. First the joinings of a simple system with another ergodic system are treated; then the pairwise independent joinings of three systems one of which is simple. The main results obtained are: (1) A weakly mixing simple system with no non-trivial factors with absolutely continuous spectral type is simple of all orders. (2) A weakly mixing system simple of order 3 is simple of all orders.