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Some Planar Isospectral Domains

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Visit this site: http://math.dartmouth.edu/~doyle/docs/drum/drum/drum.html
Author:Buser, Conway, Doyle, Semmler
Description: A paper on isospectral pairs of plane domains, and a particularly simple method of proving isospectrality. One example is a pair of domains that are not only isospectral but homophonic, showing that one really can't hear the shape of a drum. With a gallery of examples, Mathematica notebooks of figures and further examples.
Levels: College, Research
Languages: English
Resource Types: Articles
Math Topics: Differential Geometry, Topology

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