17 citations · 93 across the 40 of their papers we have counts for
6 papers · 1 filter
The solar Julia sets of basic quadratic Cremer polynomials
A. Blokh, X. Buff, A. Chéritat +1
In general, little is known about the exact topological structure of Julia sets containing a Cremer point. In this paper we show that there exist quadratic Cremer Julia sets of pos…
Non-degenerate quadratic laminations
A. Blokh, D. Childers, J. Mayer +1
We give a combinatorial criterion for a critical diameter to be compatible with a non-degenerate quadratic lamination.
Monotone images of Cremer Julia sets
A. Blokh, L. Oversteegen
We show that if is a quadratic polynomial with a fixed Cremer point and Julia set , then for any monotone map $\ph:J\to A$ from onto a locally connected continuum , $…
The Julia sets of basic uniCremer polynomials of arbitrary degree
A. Blokh, L. Oversteegen
Let be a polynomial of degree with a Cremer point and no repelling or parabolic periodic bi-accessible points. We show that there are two types of such Julia sets …
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…
Fixed points in non-invariant plane continua
Alexander Blokh, Lex Oversteegen
If , with , is continuous and such that and are mapped in opposite directions by , then has a fixed point in . Suppose that $f:\mathbb…