Julia Sets for Polynomial Diffeomorphisms of $\mathbb{C}^2$ are not Semianalytic
Documenta mathematica, Tome 24 (2019), pp. 163-173
For any polynomial diffeomorphism f of C2 with positive entropy, neither the Julia set of f nor of its inverse f−1 is semianalytic.
Classification :
30D05, 32H50, 37F10, 37F50
Mots-clés : Julia set, polynomial diffeomorphisms of C2
Mots-clés : Julia set, polynomial diffeomorphisms of C2
@article{10_4171_dm_677,
author = {Eric Bedford and Kyounghee Kim},
title = {Julia {Sets} for {Polynomial} {Diffeomorphisms} of $\mathbb{C}^2$ are not {Semianalytic}},
journal = {Documenta mathematica},
pages = {163--173},
year = {2019},
volume = {24},
doi = {10.4171/dm/677},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/677/}
}
Eric Bedford; Kyounghee Kim. Julia Sets for Polynomial Diffeomorphisms of $\mathbb{C}^2$ are not Semianalytic. Documenta mathematica, Tome 24 (2019), pp. 163-173. doi: 10.4171/dm/677
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