N. Gigli

activity

20102023

most citedMetric measure spaces with Riemannian Ricci curvature bounded from below

552 citations · 2k across the 45 of their papers we have counts for

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Showing 2018 · math.APShow all

3 papers · 2 filters

math.AP2018

Second order differentiation formula on $R C D (K, N)$ spaces

Nicola Gigli, Luca Tamanini

We prove the second order differentiation formula along geodesics in finite-dimensional $R C D (K, N)$ spaces. Our approach strongly relies on the approximation of $W_{2}$ -geodesics by e…

math.AP2018★ 21 cited

Benamou-Brenier and duality formulas for the entropic cost on $R C D^{*} (K, N)$ spaces

Nicola Gigli, Luca Tamanini

In this paper we prove that, within the framework of $R C D^{*} (K, N)$ spaces with $N < \infty$ , the entropic cost (i.e. the minimal value of the Schrödinger problem) admits: - a threef…

math.AP2018

Second order differentiation formula on $R C D^{*} (K, N)$ spaces

Nicola Gigli, Luca Tamanini

Aim of this paper is to prove the second order differentiation formula for $H^{2, 2}$ functions along geodesics in $R C D^{*} (K, N)$ spaces with $N < \infty$ . This formula is new even in…

Second order differentiation formula on RCD(K,N) spaces

Benamou-Brenier and duality formulas for the entropic cost on RCD∗(K,N) spaces

Second order differentiation formula on RCD∗(K,N) spaces

Second order differentiation formula on $R C D (K, N)$ spaces

Benamou-Brenier and duality formulas for the entropic cost on $R C D^{*} (K, N)$ spaces

Second order differentiation formula on $R C D^{*} (K, N)$ spaces