Finite geometries and diffractive orbits in isospectral billiards
Chaotic Dynamics
2009-11-11 v1
Abstract
Several examples of pairs of isospectral planar domains have been produced in the two-dimensional Euclidean space by various methods. We show that all these examples rely on the symmetry between points and blocks in finite projective spaces; from the properties of these spaces, one can derive a relation between Green functions as well as a relation between diffractive orbits in isospectral billiards.
Cite
@article{arxiv.nlin/0503069,
title = {Finite geometries and diffractive orbits in isospectral billiards},
author = {Olivier Giraud},
journal= {arXiv preprint arXiv:nlin/0503069},
year = {2009}
}
Comments
10 pages