Conditions for long-time L^p Wasserstein contraction are derived for non-globally dissipative diffusions, extending to non-elliptic processes with a one-dimensional characterization via the maximal eigenvalue of a Feynman-Kac operator.
Exponential ergodicity in relative entropy andL 2-Wasserstein distance for non-equilibrium partially dissipative kinetic SDEs
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Proves dimension-free long-time reverse transportation inequality for non-globally-dissipative Langevin dynamics with non-convex potentials controlling Rényi divergence.
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Long-time $L^p$ Wasserstein contraction for diffusion processes without global dissipativity
Conditions for long-time L^p Wasserstein contraction are derived for non-globally dissipative diffusions, extending to non-elliptic processes with a one-dimensional characterization via the maximal eigenvalue of a Feynman-Kac operator.
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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.