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math.GN2010
Finitely Suslinian models for planar compacta with applications to Julia sets
Alexander Blokh, Clinton Curry, Lex Oversteegen
A compactum $X\subset \C$ is unshielded if it coincides with the boundary of the unbounded component of $\C\sm X$. Call a compactum finitely Suslinian if every collection of pa…
math.DS2010
Irreducible Julia sets of rational functions
Clinton P. Curry
We prove that a polynomial Julia set which is a finitely irreducible continuum is either an arc or an indecomposable continuum. For the more general case of rational functions, we…
math.DS2010★ 2 cited
Cubic Critical Portraits and Polynomials with Wandering Gaps
A. Blokh, C. Curry, L. Oversteegen
Thurston introduced $\si_d$-invariant laminations (where $\si_d(z)$ coincides with $z^d:\ucirc\to \ucirc$, ) and defined \emph{wandering -gons} as sets $\T\subset \ucirc…