Reflection coupling and Wasserstein contractivity without convexity

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Exponential Contraction in Wasserstein Distances for Diffusion Semigroups with Negative Curvature (2016, methodology): “8) we first extend the main results of [11, 18] to the present Riemannian setting and give the exponential convergence of Pt in W2.”
Quantitative Harris-type theorems for diffusions and McKean–Vlasov processes (2016, methodology): “In the case where the curvature is only strictly positive outside of a compact set, reflection coupling has been applied successfully to obtain total variation bounds for the distance to equilibrium [40] as well as explicit contraction rates of the transition semigroup in Kantorovich distances [21, ”
Semi Log-Concave Markov Diffusions (2013, methodology): “In a recent note [24], Eberle studied the contractivity property in Wasserstein distance W1, induced by another well known coupling method: coupling by reflection (or mirror coupling) introduced in [36].”
Refined basic couplings and Wasserstein-type distances for SDEs with Lévy noises (2016, background): “[5] Eberle, A.: Reflection coupling and Wasserstein contractivity without convexity, C. R. Math.”
Couplings and quantitative contraction rates for Langevin dynamics (2017, methodology): “It has been shown in [9, 13, 14, 16] that this can be exploited to obtain average contractivity with relatively sharp explicit rates in distances that are appropriately chosen concave functions of `1 or `2 metrics.”