Abstract: The set of locally maximizing orbits is an important feature of exact twist maps,
using which we can study the integrability of the system. In this talk, we give a condition
for two generating functions of the same twist map to have the same sets of locally maximizing
orbits. We show that the billiard system satisfies this condition. As an application, we give
a quantitative version of the rigidity result for integrability of billiards by Bialy and
Mironov. Joint work with Misha Bialy.
Locally maximizing orbits for billiards
27.09.2024 17:00 - 18:00
Organiser:
H. Bruin, R. Zweimüller
Location:
Erdös Center Budapest