2015/11/08 by Yan Gao, Peter Haïssinsky, Gao, Yan +5
Mathematics · #37F10 #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS #msc:37F10
paper · pdf · doi:10.48550/arxiv.1511.02457
16 pages, 1 figue
arxiv created 2015/11/08 · arxiv updated 2015/11/10
In this paper, we prove that if R\colon\widehatℂ→\widehatℂ is a postcritically finite rational map with Julia set homeomorphic to the Sierpiński carpet, then there is an integer n0, such that, for any n≥ n0, there exists an Rn-invariant Jordan curve Γ containing the postcritical set of R.