Author:
QIU WEIYUAN,ROESCH PASCALE,WANG YUEYANG
Abstract
Abstract
We consider the McMullen maps
$f_{\unicode{x3bb} }(z)=z^{n}+\unicode{x3bb} z^{-n}$
with
$\unicode{x3bb} \in \mathbb {C}^{*}$
and
$n \geq 3$
. We prove that the closures of escape hyperbolic components are pairwise disjoint and the boundaries of all bounded escape components (the McMullen domain and Sierpiński holes) are quasi-circles with Hausdorff dimension strictly between
$1$
and
$2$
.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Escape components of McMullen maps – ERRATUM;Ergodic Theory and Dynamical Systems;2022-12-12