Julia sets for polynomial diffeomorphisms of ${\Bbb C}^2$ are not semianalytic

Eric Bedford; Kyounghee Kim

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arXiv · 1703.04168

Julia sets for polynomial diffeomorphisms of ${\Bbb C}^2$ are not semianalytic

Eric Bedford·Kyounghee Kim

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Abstract

For any polynomial diffeomorphism $f$ of ${\Bbb C}^2$ with positive entropy, neither the Julia set of $f$ nor of its inverse $f^{-1}$ is semi-analytic.

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Eric Bedford, Kyounghee Kim. 2017-04-29. Julia sets for polynomial diffeomorphisms of ${\Bbb C}^2$ are not semianalytic. https://arxiv.org/abs/1703.04168

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