Fast-oscillating random perturbations of Hamiltonian systems
Event details
| Date | 26.01.2024 |
| Hour | 14:00 › 15:00 |
| Speaker | Shuo Yan – University Maryland |
| Location | Online |
| Category | Conferences - Seminars |
| Event Language | English |
Seminar in Mathematics
We consider coupled slow-fast stochastic processes, where the averaged slow motion is given by a two-dimensional Hamiltonian system with multiple critical points. On a proper time scale, the evolution of the first integral converges to a diffusion process on the corresponding Reeb graph, with certain gluing conditions specified at the interior vertices. The case of additive perturbations was considered in the classic work of M. Freidlin and A. Wentzell. The current result shares some common features but requires a new set of techniques.
Practical information
- Informed public
- Free
- This event is internal
Organizer
- Institute of Mathematics
Contact
- Prof. Thomas Mountford