We study the Wasserstein distance between two measures $\mu,\ u$ which are mutually singular. In particular, we are interested in minimization problems of the form $$W(\mu,{\cal A})=\inf\big\{W(\mu,\ u)\ :\ \ u\in{\cal A}\big\}$$ where $\mu$ is a…
We study the Wasserstein distance between two measures $\mu,\ u$ which are mutually singular. In particular, we are interested in minimization problems of the form $$W(\mu,{\cal A})=\inf\big\{W(\mu,\ u)\ :\ \ u\in{\cal A}\big\}$$ where $\mu$ is a…