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20112021
most citedDisplacement convexity of Entropy and the distance cost Optimal Transportation

2 citations · 2 across the 3 of their papers we have counts for

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math.DG2021

Geometry of Grassmannians and optimal transport of quantum states

Paolo Antonini, Fabio Cavalletti

Let be a separable Hilbert space. We prove that the Grassmannian of the finite dimensional subspaces of is an Alexandrov space…

math.DG2020

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…