角谷变换下的正奇数分类及其马氏链模型

Classification of Positive Odd Numbers under Kakutani Transform and Its Markov Chain Model

考虑在角谷变换F下，将全体正奇数N1进行分类，得到正奇数N1的等价二叉树模型；另一方面，发现三类正奇数在角谷变换F下的马氏链模型，是模为2^n的同余吸收链的极限形式．

We consider the classification of all positive odd numbers under Kakutani transformation F and obtain its equivalent model of binary tree. We find that the Markov chain model of three classes of positive odd numbers under Kakutani transformation is a limit form of absorbing chain under congruent Kakutani transformation F^（n） .