Author

A. Pinamonti

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Preprint Aug 2026

Sharp refined-direction Kakeya estimates in finite Heisenberg groups

Let $n\geq 2$ and let $q$ be an odd prime power. The first aim of this paper is to prove that, for every $E\subset \mathbb{H}_n(\mathbb{F}_q)$ and every $\lambda>0$, the following sharp rich-direction estimate holds \[ \left| \left\{ \vartheta\in D_n: M^{\mathrm{rd}}_{\mathbb{H}_n}\mathbf{1}_E(\vartheta)\geq\lambda \ri...

Thang Pham, A. Pinamonti, Dung The Tran et al. · 0 citations

Preprint Jul 2026

A'global'Perspective on the Differential Geometry of Wasserstein Spaces

We develop a global differential calculus on the $L^2$-Wasserstein space over a closed Riemannian manifold, based on derivations of cylinder functions rather than on the standard pointwise approach. Within this framework we define some fundamental geometric tools. In particular, we show that the Levi-Civita connection...

L. Schiavo, A. Pinamonti · 0 citations