# Sharp convergence for degenerate Langevin dynamics

@inproceedings{Barrera2022SharpCF, title={Sharp convergence for degenerate Langevin dynamics}, author={Gerardo Barrera and Conrado da Costa and Milton Jara}, year={2022} }

. In this paper, we study an ordinary diﬀerential equation with a degenerate global attractor at the origin, to which we add a white noise with a small parameter that regulates its intensity. Under general conditions, for any ﬁxed intensity, as time tends to inﬁnity, the solution of this stochastic dynamics converges exponentially fast in total variation distance to a unique equilibrium distribution. We suitably accelerate the random dynamics and show that the preceding convergence is sharp…

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