1 citations · 1 across the 4 of their papers we have counts for
4 papers
DC Calculus
Luigi Ambrosio, Jérôme Bertrand
In this paper, we extend the DC Calculus introduced by Perelman on finite dimensional Alexandrov spaces with curvature bounded below. Among other things, our results allow us to de…
Heat flow and calculus on metric measure spaces with Ricci curvature bounded below - the compact case
Luigi Ambrosio, Nicola Gigli, Giuseppe Savaré
We provide a quick overview of various calculus tools and of the main results concerning the heat flow on compact metric measure spaces, with applications to spaces with lower Ricc…
A global existence result for the semigeostrophic equations in three dimensional convex domains
Luigi Ambrosio, Maria Colombo, Guido De Philippis +1
Exploiting recent regularity estimates for the Monge-Ampère equation, under some suitable assumptions on the initial data we prove global-in-time existence of Eulerian distribution…
Surface measures and convergence of the Ornstein-Uhlenbeck semigroup in Wiener spaces
Luigi Ambrosio, Alessio Figalli
We study points of density 1/2 of sets of finite perimeter in infinite-dimensional Gaussian spaces and prove that, as in the finite-dimensional theory, the surface measure is conce…