6 citations · 16 across the 10 of their papers we have counts for
11 papers
Push-forward of geometric distributions under Collatz iteration: Part 1
Mary Rees
Two conjectures are presented. The first, Conjecture 1, is that the pushforward of a geometric distribution on the integers under Collatz iterates, modulo , is usefully cl…
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…