2 citations · 6 across the 7 of their papers we have counts for
9 papers
Density of orbits in laminations and the space of critical portraits
Alexander Blokh, Clinton Curry, Lex Oversteegen
Thurston introduced $\si_d$-invariant laminations (where $\si_d(z)$ coincides with $z^d:\ucirc\to \ucirc$, ). He defined \emph{wandering -gons} as sets $\T\subset \ucirc…
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…
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…
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…
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…
Locally connected models for Julia sets
A. Blokh, C. Curry, L. Oversteegen
Let be a polynomial with a connected Julia set . We use continuum theory to show that it admits a \emph{finest monotone map $\ph$ onto a locally connected continuum $J_{\sim…