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math.PR2023
Entrance measures for semigroups of time-inhomogeneous SDEs: possibly degenerate and expanding
Chunrong Feng, Baoyou Qu, Huaizhong Zhao
In this article, we solve the problem of the long time behaviour of transition probabilities of time-inhomogeneous Markov processes and give a unified approach to stochastic differ…
math.PR2019★ 20 cited
Random quasi-periodic paths and quasi-periodic measures of stochastic differential equations
Chunrong Feng, Baoyou Qu, Huaizhong Zhao
In this paper, we define random quasi-periodic paths for random dynamical systems and quasi-periodic measures for Markovian semigroups. We give a sufficient condition for the exist…
math.PR2018★ 3 cited
A Sufficient and Necessary Condition of PS-ergodicity of Periodic Measures and Generated Ergodic Upper Expectations
Chunrong Feng, Baoyou Qu, Huaizhong Zhao
This paper contains two parts. In the first part, we study the ergodicity of periodic measures of random dynamical systems on a separable Banach space. We obtain that the periodic…