2 problems

Let $M$ be the compact Riemannian manifold underlying the Wasserstein space, let $(\mathcal P(M),d^{W})$ denote the space of Borel probability measures on $M$ equipped with the Was…

Let $M$ be the underlying multidimensional space, let $\mathcal{P}$ denote the space of probability measures on $M$, and let $\mathbb{P}^\beta$ be the entropic measure with paramet…