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arxiv: 0910.4536 · v1 · submitted 2009-10-23 · 🧮 math.PR

Harnack Inequality for Functional SDEs with Bounded Memory

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We use a coupling method for functional stochastic differential equations with bounded memory to establish an analogue of Wang's dimension-free Harnack inequality \cite{MR1481127}. The strong Feller property for the corresponding segment process is also obtained.

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