Fabio Cavalletti

activity

20112024

most citedSharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds

96 citations · 386 across the 22 of their papers we have counts for

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Showing 2012 · math.MGShow all

2 papers · 2 filters

math.MG2012★ 4 cited

Self-Intersection of Optimal geodesics

Fabio Cavalletti, Martin Huesmann

Let $(X, d, m)$ be a geodesic metric measure space. Consider a geodesic $μ_{t}$ in the $L^{2}$ -Wasserstein space. Then as $s$ goes to $t$ the support of $μ_{s}$ and the support of $μ…

math.MG2012★ 8 cited

Decomposition of geodesics in the Wasserstein space and the globalization property

Fabio Cavalletti

We will prove a decomposition for Wasserstein geodesics in the following sense: let $(X, d, m)$ be a non-branching metric measure space verifying $CD_{l oc} (K, N)$ or equivale…