Does a billiard orbit determine its (polygonal) table? - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2008

Does a billiard orbit determine its (polygonal) table?

Résumé

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 with additional regularity conditions on the orbit.
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Dates et versions

hal-00337472 , version 1 (07-11-2008)
hal-00337472 , version 2 (26-05-2009)

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Citer

Jozef Bobok, Serge Troubetzkoy. Does a billiard orbit determine its (polygonal) table?. 2008. ⟨hal-00337472v1⟩
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