On the existence of automorphisms with simple Lebesgue spectrum (Q1304582)
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scientific article; zbMATH DE number 1340034
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the existence of automorphisms with simple Lebesgue spectrum |
scientific article; zbMATH DE number 1340034 |
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On the existence of automorphisms with simple Lebesgue spectrum (English)
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22 November 1999
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This paper deals with an automorphism with simple Lebesgue spectrum. The authors show that if there is an automorphism with simple Lebesgue spectrum, then the probability measure of the corresponding stationary processes necessarily are supported in a small subset of \(\mathbb{C}^{\mathbb{Z}}\).
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automorphism
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Lebesgue spectrum
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stationary processes
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