MSCS Graduate Student Seminar

Fall 2000

September 22

SPEAKER: Howard Masur
TITLE: Arithmetic failure of ergodicity in billiards
ABSTRACT: Billiards give important examples of dynamical systems and ergodicity is a major issue in the subject. I will give an introduction to the dynamics of billiards and talk about the recent Ph.D. dissertaion of my student, Yitwah Cheung, who studied ergodicity of billiards in rectangles with barriers and related it to some basic number theory. As part of this talk I will introduce the notion of the Hausdorff dimension of a set of real numbers.