Spectral properties of interval exchange maps (Q5957810)
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scientific article; zbMATH DE number 1719125
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectral properties of interval exchange maps |
scientific article; zbMATH DE number 1719125 |
Statements
Spectral properties of interval exchange maps (English)
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14 November 2002
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The eigenfunctions of certain interval exchanges are studied. Alternative proofs for results of \textit{A. B. Katok} and \textit{A. M. Stepin} [Usp. Mat. Nauk 22, No. 522, No. 5(137), 81-106 (1967; Zbl 0172.07202)] and \textit{W. A. Veech} [Am. J. Math. 106, 1331-1359 (1984; Zbl 0631.28006)] showing (for certain permutations) that almost every interval exchange is weak-mixing and, in the irreducible case, totally ergodic are given.
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interval exchange transformation
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weakly mixing
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