Jing Zhou: Exponential Fermi Acceleration in a Resonant Billiard Model

Abstract: In this talk we show 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 how the energy changes in a period and we employ techniques for hyperbolic systems with singularities to show the exponential drift of these normal forms on a divided time-energy phase.