A/Prof. Milena Radnovic
University of Sydney, Australia
Integrable billiards and extremal polynomials.
In this talk, we will present a novel relationship between periodic trajectories of ellipsoidal billiards and the theory of generalised Chebyshev polynomials on systems of segments. Using that relationship, we prove fundamental properties of billiard dynamics, such as monotonicity of winding numbers and injectivity of the frequency map.
The results are obtained jointly with Vladimir Dragovic.
Tuesday 18 August 2020, 12:00PM Sydney time