The choquet simplex of invariant measures for minimal flows
The choquet simplex of invariant measures for minimal flows
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最小流不变测度的 choquet 单纯形
DOI：
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发表时间：
1991
期刊：
影响因子：
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通讯作者：
T. Downarowicz
中科院分区：
文献类型：
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作者：
T. Downarowicz
紧动力系统的不变测度集是一个非空的紧可度量化Choquet单形。它表明，所有这样的单纯形已经实现了类的最小流。此外，充分是0-1 Toeplitz流类。在此之前，我们证明了正则Toeplitz流的不变测度集包含所有度量矩阵的同胚拷贝。
The set of invariant measures of a compact dynamical system is well known to be a nonempty compact metrizable Choquet simplex. It is shown that all such simplices are realized already for the class of minimal flows. Moreover, sufficient is the class of 0–1 Toeplitz flows. Previously, it is proved that the set of invariant measures of the regular Toeplitz flows contains homeomorphic copies of all metric compacta.