Bettina Kazandjian

activity

20242026

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math.SG2025

Orbits and attainable Hamiltonian diffeomorphisms of mechanical Liouville equations

Bettina Kazandjian, Eugenio Pozzoli, Mario Sigalotti

We study the approximate controllability problem for Liouville transport equations along a mechanical Hamiltonian vector field. Such PDEs evolve inside the orbit $$\mathcal{O}(ρ_0)…

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…