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 convergence in-Wasserstein distance for diffu- sion processes without uniformly dissipative drift.Mathematische Nachrichten, 289(14- 15):1909–1926
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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.