5 citations · 7 across the 11 of their papers we have counts for
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math.DS2011
Preservation of External Rays in non-Autonomous Iteration
Mark Comerford, Todd Woodard
We consider the dynamics arising from the iteration of an arbitrary sequence of polynomials with uniformly bounded degrees and coefficients and show that, as parameters vary within…
math.DS2011★ 5 cited
A Straightening Theorem for non-Autonomous Iteration
Mark Comerford
The classical straightening theorem as proved by Douady and Hubbard shows that a polynomial-like sequence is hybrid equivalent to a polynomial. We generalize this result to non-aut…
math.DS2011
Non-Autonomous Julia Sets with Invariant Sequences of Measurable Line Fields
Mark Comerford
The no invariant line fields conjecture is one of the main outstanding problems in traditional complex dynamics. In this paper we consider non-autonomous iteration where one works…