No smooth Julia sets for polynomial diffeomorphisms of $\mathbb{C}^2$ with positive entropy

Autor:	Bedford, Eric, Kim, Kyounghee
Rok vydání:	2015
Předmět:	Mathematics - Dynamical Systems 37F10
Druh dokumentu:	Working Paper
Popis:	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 $C^1$ smooth as a manifold-with-boundary.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1506.01456 Zobrazit plný text záznamu View this record from Arxiv