Nicolò De Ponti

activity

20172024

most citedGravity from thermodynamics: optimal transport and negative effective dimensions

13 citations · 38 across the 11 of their papers we have counts for

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math.DG2021

Indeterminacy estimates, eigenfunctions and lower bounds on Wasserstein distances

Nicolò De Ponti, Sara Farinelli

In the paper we prove two inequalities in the setting of $RCD (K, \infty)$ spaces using similar techniques. The first one is an indeterminacy estimate involving the $p$ -Wassers…

math.DG2017

Concentration on submanifolds of positively curved homogeneous spaces

Nicolò De Ponti

A classical result of Milman roughly states that every Lipschitz function on $S^{n}$ is almost constant on a sufficiently high-dimensional sphere $\mathbb{S}^m\subset \mathb…