Outer Billiards on Kites (AM-171)

Outer billiards is a basic dynamical system defined relative to a convex shape in the plane. B H Neumann introduced this system in the 1950s, and J Moser popularized it as a toy model for celestial mechanics. All along, the Moser-Neumann question has been one of the central problems in the field. This title offers solution to the problem.