- Series
- Joint School of Mathematics and CDSNS Colloquium
- Time
- Friday, October 14, 2022 - 3:30pm for 1 hour (actually 50 minutes)
- Location
- Online via Zoom; "viewing party" in Skiles 006
- Speaker
- Jean-Pierre Marco – Sorbonne Universite – jean-pierre.marco@imj-prg.fr
- Organizer
- Alex Blumenthal
Please Note: Zoom link: https://us06web.zoom.us/j/83392531099?pwd=UHh2MDFMcGErbzFtMHBZTmNZQXM0dz09
In this talk I will generalize a simple trick to produce splitting for the separatrices of (the time-one map of) a simple pendulum, to hyperbolic tori of any dimension $m\geq 2$. The examples will be constructed in the Gevrey class, and the splitting is bounded from below by a term of the form $\exp (-c(1/\eps)^a)$, where $a=\frac{1}{2(\alpha-1)(m-2)}$. This will be compared to usual upper bounds in the same setting.