Finite geometries and diffractive orbits in isospectral billiards
Résumé
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.
Origine : Fichiers produits par l'(les) auteur(s)
Loading...