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.FA2024

Properties of Lipschitz smoothing heat semigroups

Nicolò De Ponti, Giorgio Stefani

We prove several functional and geometric inequalities only assuming the linearity and a quantitative $L^{\infty}$ -to-Lipschitz smoothing of the heat semigroup in metric-mea…

math.FA2020★ 9 cited

The equality case in Cheeger's and Buser's inequalities on $RCD$ spaces

Nicolò De Ponti, Andrea Mondino, Daniele Semola

We prove that the sharp Buser's inequality obtained in the framework of $RCD (1, \infty)$ spaces by the first two authors is rigid, i.e. equality is obtained if and only if…

Properties of Lipschitz smoothing heat semigroups

The equality case in Cheeger's and Buser's inequalities on RCD spaces

The equality case in Cheeger's and Buser's inequalities on $RCD$ spaces