On nonisometric isospectral connected fractal domains (Q1840665)
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scientific article; zbMATH DE number 1563252
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On nonisometric isospectral connected fractal domains |
scientific article; zbMATH DE number 1563252 |
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On nonisometric isospectral connected fractal domains (English)
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23 January 2002
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Two compact Riemannian manifolds with boundary are said to be isospectral if the spectrum of their Dirichlet Laplacians is the same. The authors use paper folding to construct pairs of isospectral planar domains which have fractal boundaries of the same Minkowski dimension and which are not isometric.
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fractal boundary
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Riemannian manifolds
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isospectral
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spectrum
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Dirichlet Laplacians
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0.9122371
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0.8699431
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0.8691307
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0.8576325
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0.85648704
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0.8563096
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0.8543637
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