Clinton P. Curry

activity

20082011

most citedLocally connected models for Julia sets

2 citations · 6 across the 7 of their papers we have counts for

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Showing 2008 · math.DSShow all

3 papers · 2 filters

math.DS2008

Buried Points in Julia Sets

Clinton P. Curry, John C. Mayer

We give an introduction to buried points in Julia sets and a list of questions about buried points, written to encourage aficionados of topology and dynamics to work on these quest…

math.DS2008★ 2 cited

Locally connected models for Julia sets

A. Blokh, C. Curry, L. Oversteegen

Let $P$ be a polynomial with a connected Julia set $J$ . We use continuum theory to show that it admits a \emph{finest monotone map $\ph$ onto a locally connected continuum $J_{\sim…

math.DS2008★ 2 cited

Any counterexample to Makienko's conjecture is an indecomposable continuum

Clinton P. Curry, John C. Mayer, Jonathan Meddaugh +1

Makienko's conjecture, a proposed addition to Sullivan's dictionary, can be stated as follows: The Julia set of a rational function R has buried points if and only if no component…