| Autor: | Peter Buser, John Conway, Peter G. Doyle, Klaus-Dieter Semmler |
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| Rok vydání: | 1994 |
| Předmět: | |
| Zdroj: | International Mathematics Research Notices. 1994:391 |
| ISSN: | 1073-7928 |
| DOI: | 10.1155/s1073792894000437 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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