Author

Guy Bouchitt'e

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Review Sep 2026

The Monge-Kantorovich tangent bundle to a measure

We study the tangent bundle $T_\mu$ to a Radon measure $\mu$ in Euclidean space, introduced by Bouchitt\'e, Champion and Jimenez (2005). Its construction, inspired by Monge-Kantorovich optimal transport theory, involves the duality between Lipschitz functions and the so-called Arens-Eells space, a Banach subspace of di...

A. Arroyo-Rabasa, Averil Aussedat, Guy Bouchitt'e · 0 citations

Open access Jul 2026

Sharp inequalities between Zolotarev and Wasserstein distances in $$\mathcal {P}_2(\mathbb {R}^d)$$

<jats:p> Based on a new Kantorovich–Rubinstein duality principle for the Hessian that was recently established by the two authors, we extend the Rio inequality to any dimension <jats:inline-formula> <jats:alternatives>...

Karol Bołbotowski, Guy Bouchitt'e · Probability theory and relat... · 0 citations