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math.DS2018
Hereditarily non Uniformly Perfect non-Autonomous Julia Sets
Mark Comerford, Rich Stankewitz, Hiroki Sumi
Hereditarily non uniformly perfect (HNUP) sets were introduced by Stankewitz, Sugawa, and Sumi in \cite{SSS} who gave several examples of such sets based on Cantor set-like constru…
math.DS2018★ 2 cited
On Possible Limit Functions on a Fatou Component in non-Autonomous Iteration
Mark Comerford, Christopher Staniszewski
The possibilities for limit functions on a Fatou component for the iteration of a single polynomial or rational function are well understood and quite restricted. In non-autonomous…