Author

G. Dall'Ara

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Preprint Oct 2026

Obstructions to exact regularity of sublaplacians

Let $M$ be a closed manifold equipped with a collection of smooth real vector fields $X_1,\ldots, X_k$ and a smooth measure $\mu$. Let $P:=\sum_j X_j^\dagger X_j $ be the associated sublaplacian. Under the assumption that each pair of points of $M$ can be connected by a path obtained by joining integral curves of the v...

G. Dall'Ara · 0 citations

Preprint Sep 2026

Exponential improvements in Rado's covering problem

Let $B^d$ denote the $d$-dimensional Euclidean ball of unit radius. What is the largest constant $f(B^d) \in [0,1]$ with the property that every finite collection $\mathcal{C}$ of unit balls in $\mathbb{R}^d$ admits a disjoint sub-collection $\mathcal{S}$ occupying at least a fraction $f(B^d)$ of the volume of $\mathca...

G. Dall'Ara, A. Dumitrescu · 0 citations