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Sharp hypocoercive convergence estimates for underdamped Langevin dynamics with specular reflection

Du, Hengrong et al.
arXiv (OAI Expanded) · Papers
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analysis-of-pdesprobability
We study the underdamped (kinetic) Langevin dynamics confined to a bounded domain $Ω\subset\mathbb{R}^d$ by specular reflection of the velocity at the boundary. This process is the natural momentum-based analogue of the normally reflected overdamped Langevin diffusion, and it is used in practice for
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