Cutting and stacking, interval exchanges and geometric models (Q762817)
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scientific article; zbMATH DE number 3890401
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cutting and stacking, interval exchanges and geometric models |
scientific article; zbMATH DE number 3890401 |
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Cutting and stacking, interval exchanges and geometric models (English)
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1985
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Every aperiodic measure-preserving transformation can be obtained by a cutting and stacking construction. It follows that all such transformations are infinite interval exchanges. This is used to represent any ergodic measure-preserving flow as a \(C^{\infty}\)-flow on an open 2-manifold. Several additional applications of the basic theorems are also given.
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aperiodic measure-preserving transformation
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cutting and stacking construction
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ergodic measure-preserving flow
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