552 citations · 2k across the 45 of their papers we have counts for
7 papers · 1 filter
Second order differentiation formula on spaces
Nicola Gigli, Luca Tamanini
We prove the second order differentiation formula along geodesics in finite-dimensional spaces. Our approach strongly relies on the approximation of -geodesics by e…
Benamou-Brenier and duality formulas for the entropic cost on spaces
Nicola Gigli, Luca Tamanini
In this paper we prove that, within the framework of spaces with , the entropic cost (i.e. the minimal value of the Schrödinger problem) admits: - a threef…
Second order differentiation formula on spaces
Nicola Gigli, Luca Tamanini
Aim of this paper is to prove the second order differentiation formula for functions along geodesics in spaces with . This formula is new even in…
Second order differentiation formula on compact spaces
Nicola Gigli, Luca Tamanini
Aim of this paper is to prove the second order differentiation formula along geodesics in compact spaces with . This formula is new even in the context of Al…
The continuity equation on metric measure spaces
Nicola Gigli, Bangxian Han
Aim of this paper is to show that it makes sense to write the continuity equation on a metric measure space and that absolutely continuous curves w.r.t. the distanc…
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…