96 citations · 386 across the 22 of their papers we have counts for
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Indeterminacy estimates and the size of nodal sets in singular spaces
Fabio Cavalletti, Sara Farinelli
We obtain the sharp version of the uncertainty principle recently introduced in [47], and improved by [13], relating the size of the zero set of a continuous function having zero m…
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…
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…
Optimal transport in Lorentzian synthetic spaces, synthetic timelike Ricci curvature lower bounds and applications
Fabio Cavalletti, Andrea Mondino
The goal of the present work is three-fold. The first goal is to set foundational results on optimal transport in Lorentzian (pre-)length spaces, including cyclical monotonicity, s…