16 citations · 38 across the 16 of their papers we have counts for
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math.DS2017
Singular values and non-repelling cycles for entire transcendental maps
Anna Miriam Benini, Núria Fagella
Let be a map with bounded set of singular values for which periodic dynamic rays exist and land. We prove that each non-repelling cycle is associated to a singular orbit which…
math.DS2017★ 12 cited
A landing theorem for entire functions with bounded post-singular sets
Anna Miriam Benini, Lasse Rempe
The Douady-Hubbard landing theorem for periodic external rays is one of the cornerstones of the study of polynomial dynamics. It states that, for a complex polynomial with bounded…
math.DS2017
A survey on MLC, Rigidity and related topics
Anna Miriam Benini
The famous MLC Conjecture states that the Mandelbrot set is locally connected, and it is considered by many to be the central conjecture in one-dimensional complex dynamics. Among…