2 citations · 2 across the 3 of their papers we have counts for
3 papers
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…
math.DS1995
Critical points on the boundaries of Siegel disks
James T. Rogers
Let be a polynomial map of the Riemann sphere of degree at least two. We prove that if has a Siegel disk on which the rotation number satisfies a diophantine condition,…
math.CV1992
Is the boundary of a Siegel disk a Jordan curve?
James T. Rogers
Bounded irreducible local Siegel disks include classical Siegel disks of polynomials, bounded irreducible Siegel disks of rational and entire functions, and the examples of Herman…