Billiards in rational polygons: Periodic trajectories, symmetries, and d-stability Academic Article uri icon

abstract

  • Periodic trajectories of billiards in rational polygons satisfying the Veech alternative, in particular, in right triangles with an acute angle of the form /n with integer n are considered. The properties under investigation include: symmetry of periodic trajectories, asymptotics of the number of trajectories whose length does not exceed a certain value, stability of periodic billiard trajectories under small deformations of the polygon. 1998 Plenum Publishing Corporation.

published proceedings

  • Mathematical Notes

author list (cited authors)

  • Vorobets, Y. B.

citation count

  • 0

complete list of authors

  • Vorobets, Ya B

publication date

  • January 1997