Random sequences with respect to a measure defined by two linear fractional transformations
Random sequences with respect to a measure defined by two linear fractional transformations
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相对于由两个线性分数变换定义的度量的随机序列
DOI：
10.1007/s00224-014-9585-1
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发表时间：
2014
影响因子：
0.5
通讯作者：
Kazuki Okamura
中科院分区：
文献类型：
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作者：
太田竜一;太田泰友;都木宏之;熊谷直人;田辺克明;石田悟己;岩本敏;荒川泰彦;尤 静;商兆琦;商兆琦;商兆琦;商兆琦;商兆琦;商 兆琦;Kazuki Okamura
通过使用两个由可计算实数组成的线性分式变换，我们在Cantor空间上定义了一个概率度量。该测度可以是Cantor空间上的非乘积测度，也可以是Bernoulli测度。我们考虑关于测量的随机的点的构造尺寸。对于这样的随机点，我们检查0的结果的极限频率。
We define a probability measure on the Cantor space by using two linear fractional transformations consisting of computable real numbers. The measure can be a non-product measure on the Cantor space, on the other hand, it can also be the Bernoulli measure. We consider the constructive dimensions for the points which are random with respect to the measure. We examine limit frequencies of the outcome of 0 for such random points.