Sharp polynomial bounds on mixing rates for dispersing billiards and Lorentz gases
In this talk, we consider mixing properties of Lorentz gas models (introduced by H. Lorentz in 1905) and their discrete time counterparts (dispersing billiards). Various general results on polynomial mixing rates (upper and lower bounds) will be described. For instance, the infinite horizon Lorentz gas was conjectured by physicists to mix at the rate 1/t; this was proved in recent joint work with Peter Balint & Oliver Butterley. Sharp lower bounds and asymptotics for mixing rates were obtained in recent joint work with Henk Bruin & Dalia Terhesiu.
- Afternoon Tea: in the seminar room right after the colloquium.
About Maths Colloquium
The Mathematics Colloquium is directed at students and academics working in the fields of pure and applied mathematics, and statistics.
We aim to present expository lectures that appeal to our wide audience.
Information for speakers
Information for speakers
Maths colloquia are usually held on Mondays, from 2pm to 3pm, in various locations at St Lucia.
Presentations are 50 minutes, plus five minutes for questions and discussion.
Available facilities include:
- computer
- data projector
- chalkboard or whiteboard
To avoid technical difficulties on the day, please contact us in advance of your presentation to discuss your requirements.