A note on irreducibility and ergodicity of symmetric markov processes

A note on irreducibility and ergodicity of symmetric markov processes
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关于对称马尔可夫过程的不可约性和遍历性的注记

DOI:
10.1007/3-540-11956-6_119
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发表时间:
1982
期刊:
The Journal of Dermatology
影响因子:
--
通讯作者:
M. Fukushima
M. Fukushima
中科院分区:
--
文献类型:
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作者:
M. Fukushima

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证明这是罗塔遍历定理(C. Dellacherie和PA Meyer [2])。事实上,使用与前面相同的概念,我们从对称性Yt= E(f(X 0)IGt)= Ptf(Xt)Pa。s.,其中G t= O {Xs; S~ t}.
Proof This is a consequence of an extension to a o-finite measure space of Rota's ergodic theorem (C. Dellacherie and PA Meyer [2]). In fact using the same notions as before, we have from symmetry Yt= E (f (X0) IGt)= Ptf (Xt) Pa. s., where G t= O {Xs; S~ t}.
DOI: 10.1002/9781118231296.ch8
发表时间: 2018-11
期刊: Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics
影响因子: --
作者:
Dr. Gergely Záruba
通讯作者: Dr. Gergely Záruba