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arxiv: 1805.03431 · v3 · pith:L2N4DLTYnew · submitted 2018-05-09 · 🧮 math.PR

Ergodicity for Neutral Type SDEs with Infinite Length of Memory

classification 🧮 math.PR
keywords ergodicityinfinitelengthmemoryneutralsdestypecite
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In this paper, the weak Harris theorem developed in \cite{HMS11} is illustrated by using a straightforward Wasserstein coupling, which implies the exponential ergodicity of the functional solutions to a range of neutral type SDEs with infinite length of memory. A concrete example is presented to illustrate the main result.

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