Proves dimension-free long-time reverse transportation inequality for non-globally-dissipative Langevin dynamics with non-convex potentials controlling Rényi divergence.
Ergodicity of the underdamped mean-field Langevin dynamics.The Annals of Applied Probability, 34(3):3181–3226, 2024
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Long-time reverse transportation inequalities for non-globally-dissipative Langevin dynamics
Proves dimension-free long-time reverse transportation inequality for non-globally-dissipative Langevin dynamics with non-convex potentials controlling Rényi divergence.