96 citations · 386 across the 22 of their papers we have counts for
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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…
math.MG2018★ 2 cited
An overview of L1 Optimal Transportation on metric measure spaces
Fabio Cavalletti
The scope of this note is to make a self-contained survey of the recent developments and achievements of the theory of L1-Optimal Transportation on metric measure spaces. Among the…
math.MG2018★ 41 cited
New formulas for the Laplacian of distance functions and applications
Fabio Cavalletti, Andrea Mondino
The goal of the paper is to prove an exact representation formula for the Laplacian of the distance (and more generally for an arbitrary 1-Lipschitz function) in the framework of m…