Kronecker's Theorem and the Question of the Reflected Ray

Tuesday, November 27, 2012 at 1:00pm to 1:45pm

Bronfman Science Center, 106 18 Hoxsey St, Williamstown, MA 01267, USA

Kronecker's Theorem and the Question of the Reflected RayAndrew Kelly '13
Mathematics and Statistics Department Colloquium

Abstract: What happens to a light ray in a box of mirrors? Does the orbit fill the box or is it periodic? We will prove Kronecker's theorem in one dimension then use it to answer the reflected ray question. Moving the problem to the torus we can show that rays with irrational slope eventually pass arbitrarily close to any point in the box.

Share
Subscribe
Event Type

lecture/seminar/presentation

Department

Mathematics & Statistics

Recent Activity

People Going

Getting Here