Antoine Song

collaborators

2 papers

math.PR2026

Sum of Gaussian vectors and large sets

Antoine Song

We prove that the convexity problem of M. Talagrand is equivalent to the subgaussian vector problem: can any centered $1$ -subgaussian random vector in $R^{n}$ be realized as…

math.DG2025

Area Rigidity for the Regular Representation of Surface Groups

Riccardo Caniato, Xingzhe Li, Antoine Song

Let $I^~ £$ be the universal cover of a closed surface $I^£$ of genus at least $2$ . We characterize all equivariantly area-minimizing maps from $I^~ £$ to a Hilbert sphere, wh…