Julia Sets for Polynomial Diffeomorphisms of $\mathbb{C}^2$ are not Semianalytic

Julia Sets for Polynomial Diffeomorphisms of $C^{2}$ are not Semianalytic

Eric Bedford
Department of Mathematics, Stony Brook University, Stony Brook, NY 11794, USA
Kyounghee Kim
Department of Mathematics, Florida State University, Tallahassee, FL 32306, USA

$Julia Sets for Polynomial Diffeomorphisms of $\mathbb{C}^2$ are not Semianalytic cover$

This article is published open access.

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

Eric Bedford, Kyounghee Kim, Julia Sets for Polynomial Diffeomorphisms of $C^{2}$ are not Semianalytic. Doc. Math. 24 (2019), pp. 163–173