No smooth Julia sets for polynomial diffeomorphisms of \({\mathbb C}^2\) with positive entropy (Q1747543)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | No smooth Julia sets for polynomial diffeomorphisms of \({\mathbb C}^2\) with positive entropy |
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No smooth Julia sets for polynomial diffeomorphisms of \({\mathbb C}^2\) with positive entropy (English)
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8 May 2018
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The authors prove that the Julia set of polynomial diffeomorphisms of \({\mathbb C}^2\) with positive entropy is never \( C^1\) smooth. The paper contains elaborate discussions on the maps which do not decrease the volume. Moreover, at the end, it contains a brief and resourceful list of references.
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polynomial diffeomorphisms
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Julia set
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generalized Hénon maps
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polynomial automorphisms
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Chebyshev polynomial
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