No smooth Julia sets for polynomial diffeomorphisms of mathbb{C}² with positive entropy
classification
🧮 math.DS
keywords
entropyjuliamathbbpolynomialpositivesmoothdiffeomorphismdiffeomorphisms
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For any polynomial diffeomorphism $f$ of $\mathbb{C}^2$ with positive entropy, neither the Julia set of $f$ nor of its inverse $f^{-1}$ is $C^1$ smooth as a manifold-with-boundary.
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