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.
Large deviations of empirical measures of diffusions in weighted topologies.Electronic Journal of Probability, 25(none):1 – 52
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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.