论文标题
直接证明了阿加福诺夫定理和有限类型转移的扩展
A direct proof of Agafonov's theorem and an extension to shift of finite type
论文作者
论文摘要
我们提供了Agafonov定理的直接证明，该定理指出有限的国家选择可以保留正常性。我们还通过定义兼容偏移的选择，将此结果扩展到有限类型的偏移的更一般设置。当我们表明任何马尔可夫措施都通过有限状态兼容的选择保留了任何马尔可夫措施时，获得了稍微更一般的陈述。
We provide a direct proof of Agafonov's theorem which states that finite state selection preserves normality. We also extends this result to the more general setting of shifts of finite type by defining selections which are compatible the shift. A slightly more general statement is obtained as we show that any Markov measure is preserved by finite state compatible selection.
