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Recent Results on Recurrent Solutions and Limit Distributions of SDEs
Authors:Zhenxin Liu
Abstract:The limit distribution for homogeneous Markov processes is studied extensively and well understood, but it is not the case for inhomogeneous Markov processes. In this paper, we review some recent results on inhomogeneous Markov processes generated by non-autonomous stochastic (partial) differential equations (SDE in short). Under some suitable conditions, we show that the distribution of recurrent solutions of SDEs constitutes the limit distribution of the corresponding inhomogeneous Markov processes.
Keywords:Recurrent solution  stochastic differential equation  invariant measure  Markov process  
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