Does a billiard orbit determine its (polygonal) table?

Jozef Bobok, and Serge Troubetzkoy. "Does a billiard orbit determine its (polygonal) table?." Fundamenta Mathematicae 212.2 (2011): 129-144. <http://eudml.org/doc/282923>.

@article{JozefBobok2011,
abstract = {We introduce a new equivalence relation on the set of all polygonal billiards. We say that two billiards (or polygons) are order equivalent if each of the billiards has an orbit whose footpoints are dense in the boundary and the two sequences of footpoints of these orbits have the same combinatorial order. We study this equivalence relation under additional regularity conditions on the orbit.},
author = {Jozef Bobok, Serge Troubetzkoy},
journal = {Fundamenta Mathematicae},
keywords = {polygon; billiard map; order equivalence; Veech rational polygon},
language = {eng},
number = {2},
pages = {129-144},
title = {Does a billiard orbit determine its (polygonal) table?},
url = {http://eudml.org/doc/282923},
volume = {212},
year = {2011},
}

TY - JOUR
AU - Jozef Bobok
AU - Serge Troubetzkoy
TI - Does a billiard orbit determine its (polygonal) table?
JO - Fundamenta Mathematicae
PY - 2011
VL - 212
IS - 2
SP - 129
EP - 144
AB - We introduce a new equivalence relation on the set of all polygonal billiards. We say that two billiards (or polygons) are order equivalent if each of the billiards has an orbit whose footpoints are dense in the boundary and the two sequences of footpoints of these orbits have the same combinatorial order. We study this equivalence relation under additional regularity conditions on the orbit.
LA - eng
KW - polygon; billiard map; order equivalence; Veech rational polygon
UR - http://eudml.org/doc/282923
ER -