STAFF
HONORARY STAFF
POSTDOCS
PHD STUDENTS
VISITORS
RELATED STAFF
|
| Name |
Title |
Date |
Time |
Room |
| Sergey Zelik (University of Surrey) | TBDAbstract: TBD |
Wednesday, 22 October 2025 |
11:00 |
HXLY 410 |
| Kasun Fernando (Brunel University of London) | TBDAbstract: TBD |
Wednesday, 29 October 2025 |
14:00 |
HXLY 130 |
| Eugenio Pozzoli (Université de Rennes) | Controllability of Hamiltonian diffeomorphisms and mechanical Liouville equationsAbstract: In this talk, we consider a time-dependent mechanical Hamiltonian (i.e. kinetic plus potential energy) on a cotangent bundle manifold, with a potential that can be modulated in time by the choice of a control function. The flow of the associated controlled Hamiltonian system is a path inside the group of Hamiltonian diffeomorphisms. We propose an example of mechanical Hamiltonian, on the cotangent bundle of the Euclidean space, for which any Hamiltonian diffeomorphism can be attained (in an approximate sense, and in arbitrarily small times) via the flow of the controlled system, by a suitable choice of control function.
We also study another example on the cotangent bundle of the torus. In this case, we only prove a weaker property, that is the small-time approximate controllability of the associated Liouville equation: any two densities (whose level sets have the same measure) can be connected via the controlled Liouville transport equation.
This talk is based on the preprint [1] in collaboration with Bettina Kazandjian and Mario Sigalotti (Inria and LJLL, Sorbonne Université, Paris), and is the classical analogue of a previous work [2] on Schrödinger equations in collaboration with Karine Beauchard (ENS Rennes).
[1] B. Kazandjian, E. Pozzoli, M. Sigalotti; Orbits and attainable Hamiltonian diffeomorphisms for mechanical Liouville equations. arXiv:2509.24960 (2025).
[2] K. Beauchard, E. Pozzoli; Small-time approximate controllability of Schrödinger equations and diffeomorphisms. Ann. Inst. H. Poincaré Analyse Non-Linéaire (2025). |
Wednesday, 5 November 2025 |
11:00 |
HXLY 410 |
| Zemer Kosloff (University of Bristol, Hebrew University of Jerusalem) | TBDAbstract: TBD |
Wednesday, 5 November 2025 |
13:00 |
HXLY 130 |
| Jingdong Zhang (Imperial College London) | TBDAbstract: TBD |
Wednesday, 12 November 2025 |
14:00 |
HXLY 130 |
DynamIC Workshops and Mini-Courses (Complete List)
| Title |
Date |
Venue |
| One-day workshop on Random Dynamical Systems and Ergodic Theory | Tuesday, 9 September 2025 | HXLY 340, Imperial College London |
| CHAOS (Homoclinic Bifurcations, Strange Attractors, Arnold Diffusion, Fermi Acceleration, Solitons) | Sunday, 24 September 2023 – Friday, 29 September 2023 | Nesin Math Village, Izmir, Turkey |
| Mini-Workshop on Heterodimensional Dynamics | Wednesday, 2 November 2022 | Imperial College London |
Short-term DynamIC Visitors (Complete List)
| Name | Affiliation | Arrival | Departure | Host | | Eugenio Pozzoli | Université de Rennes | Monday, 3 November 2025 | Friday, 7 November 2025 | Dmitry Turaev |
Links
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