Geodesic
Julia Sets for Polynomial Diffeomorphisms of $\mathbb{C}^2$ are not Semianalytic
Documenta mathematica, Tome 24 (2019), pp. 163-173.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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 semianalytic.
Classification : 37F10, 37F50, 30D05, 32H50
Keywords: polynomial diffeomorphisms of \(\mathbb{C}^2\), Julia set 
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     author = {Bedford, Eric and Kim, Kyounghee},
     title = {Julia {Sets} for {Polynomial} {Diffeomorphisms} of {\(\mathbb{C}^2\)} are not {Semianalytic}},
     journal = {Documenta mathematica},
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Bedford, Eric; Kim, Kyounghee. Julia Sets for Polynomial Diffeomorphisms of \(\mathbb{C}^2\) are not Semianalytic. Documenta mathematica, Tome 24 (2019), pp. 163-173. http://geodesic.mathdoc.fr/item/DOCMA_2019__24__a58/