| Markov链的宏观图象 |
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| 引用本文： | 李长文,任行者. Markov链的宏观图象[J]. 青岛大学学报(自然科学版), 2005, 18(2): 27-36 |
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| 作者姓名： | 李长文 任行者 |
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| 作者单位： | 海军潜艇学院,山东青岛266071;海军潜艇学院,山东青岛266071 |
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| 摘 要： | 通过几个直观的例子研究了马尔可夫链状态空间的结构及几何性质，如维数，宏观上可视的图形等。证明了这些马尔可夫链的状态空间为具有一定自相似维数的分形集，这些分形集的闭包同样为分形集而且在该维数下的Hausdorff测度为正有限的。
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| 关 键 词： | 状态空间 马尔可夫链 宏观图象 分形 |
Macroscopic Picture of a Markov Chain |
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| LI Chang-wen,REN Xing-zhe. Macroscopic Picture of a Markov Chain[J]. Journal of Qingdao University(Natural Science Edition), 2005, 18(2): 27-36 |
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| Authors: | LI Chang-wen REN Xing-zhe |
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| Abstract: | Several straight forward examples of Markov chain were studied by discovering the state spaces and their geometric properties, especially their dimensions and macroscopic pictures. These Markov chains have self-similar fractals for some dimensions as their state spaces were proved, and the closures of these fractals are also fractals with finite positive Hausdorff measure for the given dimensions. |
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| Keywords: | Markov chain state space macroscopic picture fractal |
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