English

Code & order in polygonal billiards

Dynamical Systems 2012-11-30 v1

Abstract

Two polygons P,QP,Q are code equivalent if there are billiard orbits u,vu,v which hit the same sequence of sides and such that the projections of the orbits are dense in the boundaries P,Q\partial P, \partial Q. Our main results show when code equivalent polygons have the same angles, resp. are similar, resp. affinely similar.

Keywords

Cite

@article{arxiv.1102.4220,
  title  = {Code & order in polygonal billiards},
  author = {Jozef Bobok and Serge Troubetzkoy},
  journal= {arXiv preprint arXiv:1102.4220},
  year   = {2012}
}
R2 v1 2026-06-21T17:29:18.616Z