| 角谷变换下的正奇数分类及其马氏链模型 |
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| 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. |
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| 作者姓名： | 孙建新 |
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| 作者单位： | 绍兴文理学院信计系,浙江绍兴312000 |
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| 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．
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| 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 |
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| 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. |
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| Authors: | Sun Jianxin |
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| 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). |
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| Keywords: | Kakutani conjecture Kakutani transformation equivalent bi - tree Kakutani height absorbing chain |
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