Mathematics Colloquium
Event details
| Date | 27.04.2023 |
| Hour | 16:15 › 17:15 |
| Speaker | Viviane Baladi - CNRS, Sorbonne Université & ITS-ETH Zürich |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
Title :
Ergodic properties of Sinai billiards
Abstract :
Sinai billiards (or dispersive billiards) are (discrete or continuous time) dynamical systems having a simple and natural definition, but offering challenging technical difficulties. These difficulties are due to the presence of singularities, where derivatives blow up. The basic results of the theory were developed nearly 60 years ago by Sinai (ergodicity and mixing of the "physical" invariant measure).
Very recently, we were able to adapt functional analytic tools (Ruelle transfer operators acting on anisotropic Banach spaces) to study in particular the properties of other invariant measures. I will briefly describe these tools, and I will present some recent results, ending with the construction of the measure of maximal entropy of generic finite horizon Sinai billiards flows.
(Joint work with J. Carrand and M. Demers.)
Regristration is required : https://forms.gle/KcUAkJzHYj8d7veH6
Ergodic properties of Sinai billiards
Abstract :
Sinai billiards (or dispersive billiards) are (discrete or continuous time) dynamical systems having a simple and natural definition, but offering challenging technical difficulties. These difficulties are due to the presence of singularities, where derivatives blow up. The basic results of the theory were developed nearly 60 years ago by Sinai (ergodicity and mixing of the "physical" invariant measure).
Very recently, we were able to adapt functional analytic tools (Ruelle transfer operators acting on anisotropic Banach spaces) to study in particular the properties of other invariant measures. I will briefly describe these tools, and I will present some recent results, ending with the construction of the measure of maximal entropy of generic finite horizon Sinai billiards flows.
(Joint work with J. Carrand and M. Demers.)
Regristration is required : https://forms.gle/KcUAkJzHYj8d7veH6
Practical information
- Informed public
- Registration required
- This event is internal
Organizer
- Institute of Mathematics
Contact
- Prof. Dimitri Wyss