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Exponential Convergence for Functional SDEs with Hölder Continuous Drift
Xing Huang · 2018-07-06 · via math.PR updates on arXiv.org

Applying Zvonkin's transform, the exponential convergence in Wasserstein distance for a class of functional SDEs with Hölder continuous drift is obtained. This combining with log-Harnack inequality implies the same convergence in the sense of entropy, which also yields the convergence in total variation norm by Pinsker's inequality.

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