A. Agrachev

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math.OC2026

Approximate controllability on the group of volume-preserving diffeomorphisms

Andrei Agrachev, Bettina Kazandjian

We study controlability issues for the group of volume-preserving diffeomorphisms of the torus $T^{d}$ for system $x ˙ = f (x) + u (t)$ , where $f$ is a fixed divergence free vec…

math.OC2025

Good Lie Brackets for classical and quantum harmonic oscillators

Andrei Agrachev, Bettina Kazandjian, Eugenio Pozzoli

We study the small-time controllability problem on the Lie groups $S L_{2} (R)$ and $S L_{2} (R) ⋉ H_{d} (R)$ with Lie bracket methods (here $H_{d}(\mathbb{R…