- Jing Zhou, Penn State University
- Uniqueness of equilibrium state for Lorenz attractors
- 07/19/2022
- 2:00 PM - 3:00 PM
- C304 Wells Hall
- Huyi Hu (hhu@msu.edu)
In this talk we show the existence of an infinite measure set of exponentially escaping orbits for a resonant Fermi accelerator, which is realized as a square billiard with a periodically oscillating platform. We use normal forms to describe the energy change in a period and employ techniques from the theory of hyperbolic systems with singularities to show the exponential drift given by these normal forms on a divided time-energy phase.