Slow entropy and differentiable models for infinite-measure preserving \(\mathbb z^{k}\) actions (Q2908151)
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scientific article; zbMATH DE number 6076546
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Slow entropy and differentiable models for infinite-measure preserving \(\mathbb z^{k}\) actions |
scientific article; zbMATH DE number 6076546 |
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4 September 2012
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slow entropy
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smooth models
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0.8823263
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0.8780142
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0.87093973
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0.86761713
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0.86708564
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0.8667077
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0.8660796
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0.86299443
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0.86154974
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Slow entropy and differentiable models for infinite-measure preserving \(\mathbb z^{k}\) actions (English)
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The main result here is to show that there exist infinite-measure preserving actions of \(\mathbb Z^2\) that cannot be realized as a smooth action on a smooth manifold (in contrast to the case of a single transformation). The invariant used to establish this result is a form of `slow' (sub-exponential) entropy for \(\mathbb Z^2\) actions.
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