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

Eric Bedford; Kyounghee Kim

arxiv: 1703.04168 · v2 · pith:6LPNREELnew · submitted 2017-03-12 · 🧮 math.DS

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

Eric Bedford , Kyounghee Kim This is my paper

classification 🧮 math.DS

keywords juliapolynomialdiffeomorphismdiffeomorphismsentropyinverseneitherpositive

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

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