2 citations · 2 across the 1 of their papers we have counts for
3 papers
math.DG2020
Independence of synthetic Curvature Dimension conditions on transport distance exponent
Afiny Akdemir, Fabio Cavalletti, Andrew Colinet +2
The celebrated Lott-Sturm-Villani theory of metric measure spaces furnishes synthetic notions of a Ricci curvature lower bound joint with an upper bound on the dimension. T…
math.MG2020★ 2 cited
Displacement convexity of Entropy and the distance cost Optimal Transportation
Fabio Cavalletti, Nicola Gigli, Flavia Santarcangelo
During the last decade Optimal Transport had a relevant role in the study of geometry of singular spaces that culminated with the Lott-Sturm-Villani theory. The latter is built on…
math.MG2018
Isoperimetric inequality under Measure-Contraction property
Fabio Cavalletti, Flavia Santarcangelo
We prove that if is an essentially non-branching metric measure space with , having Ricci curvature bounded from below by and dime…