A note on the diamond fractal (Q1876623)
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scientific article; zbMATH DE number 2093723
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the diamond fractal |
scientific article; zbMATH DE number 2093723 |
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A note on the diamond fractal (English)
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20 August 2004
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The author establishes the uniqueness of a ``Laplace operator'' on the compact diamond fractal by showing that there exists a unique (up to constant multiples) self-similar, local, regular symmetric Dirichlet form with the normalized Hausdorff measure as reference measure. The approach used in this paper also applies to other finitely ramified, graph-directed fractals.
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fractals
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diffusions
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Laplace operator
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symmetric Dirichlet form
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normalized Hausdorff measure
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