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- W2967190275 abstract "We provide a refined explicit estimate of exponential decay rate of underdamped Langevin dynamics in $L^2$ distance, based on a framework developed in [1]. To achieve this, we first prove a Poincar'{e}-type inequality with Gibbs measure in space and Gaussian measure in momentum. Our estimate provides a more explicit and simpler expression of decay rate; moreover, when the potential is convex with Poincar'{e} constant $m ll 1$, our estimate shows the decay rate of $O(sqrt{m})$ after optimizing the choice of friction coefficient, which is much faster than $m$ for the overdamped Langevi dynamics." @default.
- W2967190275 created "2019-08-22" @default.
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- W2967190275 date "2019-08-13" @default.
- W2967190275 modified "2023-10-06" @default.
- W2967190275 title "On explicit $L^2$-convergence rate estimate for underdamped Langevin dynamics" @default.
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- W2967190275 doi "https://doi.org/10.1007/s00205-023-01922-4" @default.
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