6 citations · 16 across the 10 of their papers we have counts for
9 papers · 1 filter
An awkward graph
Mary Rees
Given a rational map and a finite graph such that and is expanding on some neig…
Persistent Markov partitions and hyperbolic components of rational maps
Mary Rees
Markov partitions persisting in a neighbourhood of hyperbolic components of rational maps were constructed under the condition that closures of Fatou components are disjoint in \ci…
Persistent Markov partitions for rational maps
Mary Rees
A construction is given of Markov partitions for some rational maps, which persist over regions of parameter space, not confined to single hyperbolic components. The set on which t…
A connected string of long thick and dominants
Mary Rees
We prove that every Teichmuller geodesic of a finite type surface contains a string of intersecting long, thick and dominant segments, such that the distance between consecutive se…
The parameter capturemap for V_3
Mary Rees
This is a study of the Wittner capture construction for critically finite quadratic rational maps for which one critical point is periodic, and the second critical point is in the…
Counting Hyperbolic Components
Jan Kiwi, Mary Rees
We give formulas for the numbers of type II and type IV hyperbolic components in the space of quadratic rational maps, for all fixed periods of attractive cycles.