17 citations · 93 across the 40 of their papers we have counts for
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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…
Fixed point theorems in plane continua with applications
Alexander M. Blokh, Robbert J. Fokkink, John C. Mayer +2
We present proofs of basic results, including those developed by Harold Bell, for the plane fixed point problem: does every map of a non-separating plane continuum have a fixed poi…
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…
An Extended Fatou-Shishikura inequality and wandering branch continua for polynomials
Alexander Blokh, Doug Childers, Genadi Levin +2
Let be a polynomial of degree with Julia set . Let be the number of non-repelling cycles of . By the famous Fatou-Shishikura inequality $\widetilde N…