Renormalisation for inflation tilings. II: Connections to number theory (Q2058979)
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scientific article; zbMATH DE number 7442395
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Renormalisation for inflation tilings. II: Connections to number theory |
scientific article; zbMATH DE number 7442395 |
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Renormalisation for inflation tilings. II: Connections to number theory (English)
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10 December 2021
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The paper is a two-pages expository (without proofs) of some results previously obtained by the author with Baake, Coons, Gaehler, and Grimm about some connections of the Lyapunov exponent of the matrix cocycles induced by Fourier matrices of inflation rules for aperiodic tilings and Mahler measures of certain polynomials. For the entire collection see [Zbl 1459.37002].
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substitutions
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mathematical diffraction
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Fourier matrix
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Lyapunov exponent
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Mahler measure
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