7,921 research outputs found
Marked Length Spectral determination of analytic chaotic billiards with axial symmetries
We consider billiards obtained by removing from the plane finitely many
strictly convex analytic obstacles satisfying the non-eclipse condition. The
restriction of the dynamics to the set of non-escaping orbits is conjugated to
a subshift, which provides a natural labeling of periodic orbits. We show that
under suitable symmetry and genericity assumptions, the Marked Length Spectrum
determines the geometry of the billiard table.Comment: 57 pages, 8 figure
- …