| 角谷变换下的正奇数分类及其马氏链模型 |
| |
| 引用本文： | 孙建新. 角谷变换下的正奇数分类及其马氏链模型[J]. 绍兴文理学院学报, 2006, 26(2): 8-15 |
| |
| 作者姓名： | 孙建新 |
| |
| 作者单位： | 绍兴文理学院信计系,浙江绍兴312000 |
| |
| 摘 要： | 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．
|
| 关 键 词： | 角谷猜想 角谷变换 等价二叉图 角谷高度 吸收链 |
| 文章编号： | 1008-293X（2006）08-0008-08 |
| 收稿时间： | 2006-05-29 |
Classification of Positive Odd Numbers under Kakutani Transform and Its Markov Chain Model |
| |
| Sun Jianxin. Classification of Positive Odd Numbers under Kakutani Transform and Its Markov Chain Model[J]. Journal of Shaoxing College of Arts and Sciences, 2006, 26(2): 8-15 |
| |
| Authors: | Sun Jianxin |
| |
| Abstract: | We consider the classification of all positive odd numbers under Kakutani transformation F and obtain its e- quivalent 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). |
| |
| Keywords: | Kakutani conjecture Kakutani transformation equivalent bi - tree Kakutani height absorbing chain |
| 本文献已被 CNKI 维普 等数据库收录！ |
