most citedFilament Pairs, Dynamic Partitions, and Spiders for Post-Singularly Finite Entire Functions

1 citations · 1 across the 1 of their papers we have counts for

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2 papers

math.DS2021★ 1 cited

Filament Pairs, Dynamic Partitions, and Spiders for Post-Singularly Finite Entire Functions

David Pfrang, Sören Petrat, Bernhard Reinke +1

Filaments are a natural generalization of the well-known concept of dynamic rays in complex dynamics. In this article we investigate which periodic or preperiodic filaments land to…

math.DS2018

Homotopy Hubbard Trees for post-singularly finite exponential maps

David Pfrang, Michael Rothgang, Dierk Schleicher

We extend the concept of a Hubbard tree, well established and useful in the theory of polynomial dynamics, to the dynamics of transcendental entire functions. We show that Hubbard…