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math-ph2011★ 1 cited
The 2-Transitive Transplantable Isospectral Drums
Jeroen Schillewaert, Koen Thas
For Riemannian manifolds there are several examples which are isospectral but not isometric, see e.g. J. Milnor [Proc. Nat. Acad. Sci. USA 51 (1964), 542]; in the present paper, we…
math-ph2011★ 68 cited
Hearing shapes of drums - mathematical and physical aspects of isospectrality
O. Giraud, K. Thas
In a celebrated paper '"Can one hear the shape of a drum?"' M. Kac [Amer. Math. Monthly 73, 1 (1966)] asked his famous question about the existence of nonisometric billiards having…