D. Childers

activity

20052010

most citedNon-degenerate quadratic laminations

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.DS2010

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 $N$ be the number of non-repelling cycles of $P$ . By the famous Fatou-Shishikura inequality $\widetilde N…

math.DS2008★ 1 cited

Non-degenerate quadratic laminations

A. Blokh, D. Childers, J. Mayer +1

We give a combinatorial criterion for a critical diameter to be compatible with a non-degenerate quadratic lamination.

math.DS2005

Wandering polygons and recurrent critical leaves

Douglas K. Childers

Let T be a finite subset of the complex unit circle S^1, and define f: S^1 -> S^1 by f(z) = z^d. Let CH(T) denote the convex hull of T. If card(T) = N > 2, then CH(T) defines a pol…