J4 ›› 2010, Vol. 45 ›› Issue (2): 79-83.
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郭新伟
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摘要：
研究了可分度量空间上的Markov算子的遍历性质,利用平移算子的遍历理论证明了非扩张的具有遍历测度的Markov算子具有几乎稠密的轨道。
关键词: Markov算子;Markov链;遍历测度;平移算子;轨道
Abstract:
The ergodicity of Markov operators on separable metric space is discussed. It is proved that non-expansive Markov operators with ergodic measures have almost dense trajectories using ergodic theory for shift operators.
Key words: Markov operators; Markov chains; ergodic measures; shift operators; trajectories
郭新伟. 具有遍历的概率测度的Markov算子[J]. J4, 2010, 45(2): 79-83.
GUO Xin-Wei. Markov operators with an ergodic probability measure[J]. J4, 2010, 45(2): 79-83.
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http://lxbwk.njournal.sdu.edu.cn/CN/Y2010/V45/I2/79
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