16 citations · 38 across the 16 of their papers we have counts for
4 papers · 1 filter
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…
Decompositions of complete multipartite graphs via generalized graceful labelings
A. Benini, A. Pasotti
We prove the existence of infinite classes of cyclic G-decompositions of the complete multipartite graph, G being a caterpillar, a hairy cycle or a cycle. All the results are obtai…
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…
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…