Billiards - a playground and a lab

Type: 
PhD Student Seminar
Audience: 
Open to the Public
Building: 
Zrinyi u. 14
Room: 
310/A
Wednesday, February 5, 2014 - 2:00pm
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Date: 
Wednesday, February 5, 2014 - 2:00pm to 3:30pm

Abstract: When playing billiards, we have a domain Q - the billiard table - and consider the motion of a particle that travels uniformly within Q, and bounces off elastically - angle of reflection equals
angle of incidence - when reaching the boundary of Q. The characteristic features of this motion can be quite different depending on the shape of the domain: this is a playground where mathematicians can find toys according to their tastes. On the other hand, billiards naturally arise as models in statistical physics: several interesting phenomena can be formulated, and possibly treated in a rigorous manner by means of these systems. In my talk I would like to
describe these two aspects of billiards, mentioning briefly some challenges that the theory faces currently.

You can watch the lecture here:

http://www.youtube.com/watch?v=AZ3kV4BJJt0&list=PL_0phSnA7tyQJDn-5hacAuELRteKNuyl-&index=2