Wasserstein contraction
= Wasserstein contraction
A Markov kernel is Wasserstein contractive with rate $\alpha>0$ when $W_\rho(\mu P,\nu P)\leq e^{-\alpha}W_\rho(\mu,\nu)$ for all probability distributions $\mu,\nu$.
= Wasserstein contraction
A Markov kernel is Wasserstein contractive with rate $\alpha>0$ when $W_\rho(\mu P,\nu P)\leq e^{-\alpha}W_\rho(\mu,\nu)$ for all probability distributions $\mu,\nu$.