An explicit rate Λ = 1/(6(√(2 + K/(2m)) + √(4 + K/(2m)))) √m is proven for L2 convergence of underdamped Langevin dynamics, recovering the optimal O(√m) order when the potential is convex.
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Sharp hypocoercive convergence estimates for underdamped Langevin dynamics via the modified $L^2$ method
An explicit rate Λ = 1/(6(√(2 + K/(2m)) + √(4 + K/(2m)))) √m is proven for L2 convergence of underdamped Langevin dynamics, recovering the optimal O(√m) order when the potential is convex.