Research report 2008 - Max Planck Institute for Mathematics
Recurrence relations and dynamical optimal billard tables
Authors
Möller, Martin
Departments
Mathematik
MPI für Mathematik, Bonn
Summary
Sequences defined by recurrence relations are known since the work of Fibonacci. They occur in number theory as well as for the solutions of differential equations. This report explains why special billiard tables give rise to recurrence relations such that the corresponding sequences consists unexpectedly of integers only.