Some remarks on countably determined measures and uniform distribution of sequences
Some remarks on countably determined measures and uniform distribution of sequences
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关于可数确定测度和序列均匀分布的一些评论
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发表时间：
1996
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通讯作者：
S. Mercourakis
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作者：
S. Mercourakis
研究了两个主题：紧Hausdorff空间上可数确定的（正则Borel概率）测度，以及主要关于这类测度的序列的均匀分布。我们证明了可数确定措施的几个特征，并应用结果，以显示存在一个良好的分布序列的可数确定措施的支持。我们还推广了Losert关于紧致并元空间中一致分布序列存在性的一个结果。
Two topics are investigated: countably determined (regular Borel probability) measures on compact Hausdorff spaces, and uniform distribution of sequences regarding mainly this kind of measures. We prove several characterizations of countably determined measures, and apply the results in order to show the existence of a well distributed sequence in the support of a countably determined measure. We also generalize a result of Losert on the existence of uniformly distributed sequences in compact dyadic spaces.