English

Invisibility in billiards is impossible in an infinite number of directions

Dynamical Systems 2012-07-12 v2

Abstract

We consider the billiard in the exterior of a piecewise smooth body in two-dimensional Euclidean space and show that the maximum number of directions of invisibility in such billiard is at most finite.

Keywords

Cite

@article{arxiv.1206.6965,
  title  = {Invisibility in billiards is impossible in an infinite number of directions},
  author = {Alexander Plakhov and Vera Roshchina},
  journal= {arXiv preprint arXiv:1206.6965},
  year   = {2012}
}