APIOS Talk 18 August 2020

Speaker

A/Prof. Milena Radnovic
University of Sydney, Australia

Title

Integrable billiards and extremal polynomials.

Abstract

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.

When

Tuesday 18 August 2020, 12:00PM Sydney time

Recording

Read the talk.

Leave a Reply

Your email address will not be published. Required fields are marked *