Loading...
research article
Some planar isospectral domains
The authors give a number of examples of two noncongruent isospectral domains in the plane and a particularly simple method of proof. One of their examples is a pair of domains that are not only isospectral but homophonic, i.e. each domain has a distinguished point such that the corresponding normalized Dirichlet eigenfunctions take equal values at the distinguished points. They interprete this to mean that if the corresponding drums'' are struck at these special points, then they
sound the same'' in the very strong sense that every frequency will be excited to the same intensity for each. This shows that one really cannot hear the shape of a drum.
Type
research article
Authors
Publication date
1994
Published in
Volume
1994
Issue
9
Start page
391
End page
400
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
December 3, 2010
Use this identifier to reference this record