三位删除贪婪Beta变换的自然扩张
A natural extension for the greedy beta-transformation with three deleted digits
摘要:
给出了删除三位数的贪婪Beta变换的关于勒贝格测度绝对连续的不变测度的显式表达式.我们定义一个版本的自然扩张的转换,以获得这个表达式。得到了变换是精确的弱Bernoulli变换。
英文摘要:
We give an explicit expression for the invariant measure, absolutely continuous with respect to the Lebesgue measure, of the greedy beta-transformation with three deleted digits. We define a version of the natural extension of the transformation to obtain this expression. We get that the transformation is exact and weakly Bernoulli.
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