An Extended Fatou-Shishikura inequality and wandering branch continua for polynomials

Alexander Blokh, Doug Childers, Genadi Levin +2

Let $P$ be a polynomial of degree $d$ with Julia set $J_P$. Let $\tilde{N}$ be the number of non-repelling cycles of $P$. By the famous Fatou-Shishikura inequality $\widetilde N…