Almost all eigenfunctions of a rational polygon are uniformly distributed (Q414728)
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scientific article; zbMATH DE number 6033372
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Almost all eigenfunctions of a rational polygon are uniformly distributed |
scientific article; zbMATH DE number 6033372 |
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Almost all eigenfunctions of a rational polygon are uniformly distributed (English)
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11 May 2012
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Summary: We consider an orthonormal basis of eigenfunctions of the Dirichlet Laplacian for a rational polygon. The modulus squared of the eigenfunctions defines a sequence of probability measures. We prove that this sequence contains a density-one subsequence that converges to Lebesgue measure.
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billiards in rational polygons
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quantum ergodicity
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pseudo-integrable systems
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