3 citations · 7 across the 6 of their papers we have counts for
6 papers
Dynamical generation of parameter laminations
A. Blokh, L. Oversteegen, V. Timorin
Local similarity between the Mandelbrot set and quadratic Julia sets manifests itself in a variety of ways. We discuss a combinatorial one, in the language of geodesic laminations.…
Non-degenerate locally connected models for plane continua and Julia sets
A. Blokh, L. Oversteegen, V. Timorin
Suppose that a is an \emph{unshielded} plane continuum (i.e., coincides with the boundary of the unbounded complementary component of ). Then there exists a \emph{finest…
A canonical parameterization of paths in
L. C. Hoehn, L. G. Oversteegen, E. D. Tymchatyn
For sufficiently tame paths in , Euclidean length provides a canonical parametrization of a path by length. In this paper we provide such a parametrization for all co…
A fixed point theorem for branched covering maps of the plane
A. Blokh, L. Oversteegen
It is known that every homeomorphism of the plane has a fixed point in a non-separating, invariant subcontinuum. Easy examples show that a branched covering map of the plane can be…
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 , $…