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- W1569747712 abstract "In this paper, we discuss exponential mixing property for Markovian semigroups generated by segment processes associated with several class of retarded Stochastic Differential Equations (SDEs) which cover SDEs with constant/variable/distributed time-lags. In particular, we investigate the exponential mixing property for (a) non-autonomous retarded SDEs by the Arzela--Ascoli tightness characterization of the space $C$ equipped with the uniform topology (b) neutral SDEs with continuous sample paths by a generalized Razumikhin-type argument and a stability-in-distribution approach and (c) jump-diffusion retarded SDEs by the Kurtz criterion of tightness for the space $D$ endowed with the Skorohod topology." @default.
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- W1569747712 date "2013-06-15" @default.
- W1569747712 modified "2023-09-27" @default.
- W1569747712 title "Exponential Mixing for Retarded Stochastic Differential Equations" @default.
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