A remark on the large deviations of an ergodic markov process

A remark on the large deviations of an ergodic markov process
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关于遍历马尔可夫过程大偏差的评论

DOI:
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发表时间:
1987
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通讯作者:
H. Soner
H. Soner
中科院分区:
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文献类型:
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作者:
W. Fleming;S. Sheu;H. Soner

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我们给出了在紧度量空间X中取值的Feller-Markov过程μt的占用测度的大时间行为的Donsker-Varadhan结果的另一个证明。对于X上概率测度空间上的任何弱连续函数φ(μ),我们通过线性化论证来确定.
We give an alternative proof of the Donsker-Varadhan result for the large time behavior of the occupation measure of a Feller-Markov process µt, taking values in a compact metric space X. For any Weak∗ continuous functions φ(μ) on the space of probability measures on X, we identify through a linearization argument.