16 citations · 38 across the 16 of their papers we have counts for
Showing 2012 · math.DSShow all
3 papers · 2 filters
math.DS2012
Singular values and bounded Siegel disks
Anna Miriam Benini, Nuria Fagella
Let be an entire transcendental function of finite order and be a forward invariant bounded Siegel disk for with rotation number in Herman's class . We sho…
math.DS2012
Expansivity properties and rigidity for non-recurrent exponential maps
Anna Miriam Benini
We show that an exponential map whose singular value is combinatorially non-recurrent and non-escaping is uniquely determined by its combinatorics, i.e. the patt…
math.DS2012
Repelling periodic points and landing of rays for post-singularly bounded exponential maps
Anna Miriam Benini, Mikhail Lyubich
We show that repelling periodic points are landing points of periodic rays for exponential maps whose singular value has bounded orbit. For polynomials with connected Julia sets, t…