Code & order in polygonal billiards - Archive ouverte HAL Access content directly
Journal Articles Topology and its Applications Year : 2012

Code & order in polygonal billiards


Two polygons $P,Q$ are code equivalent if there are billiard orbits $u,v$ which hit the same sequence of sides and such that the projections of the orbits are dense in the boundaries $\partial P, \partial Q$. Our main results show when code equivalent polygons have the same angles, resp. are similar, resp. affinely similar.
Fichier principal
Vignette du fichier
BobTroubCode4.pdf (230.86 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-00567488 , version 1 (21-02-2011)



Jozef Bobok, Serge Troubetzkoy. Code & order in polygonal billiards. Topology and its Applications, 2012, 159 (1), pp.236-247. ⟨10.1016/j.topol.2011.09.007⟩. ⟨hal-00567488⟩
282 View
78 Download



Gmail Facebook Twitter LinkedIn More