16 citations · 38 across the 16 of their papers we have counts for
24 papers
Equidistribution Measures of infinite entropy for Transcendental Functions
Leandro Arosio, Anna Miriam Benini, John Erik Fornæss +1
In the 1980s Lyubich and Freire-Lopes-Mañé proved that for any rational function of degree d \geq 2, both preimages and periodic points equidistribute to the unique measure of maxi…
Shrinking targets and recurrent behaviour for forward compositions of inner functions
Anna Miriam Benini, Vasiliki Evdoridou, Núria Fagella +2
We prove sharp results about recurrent behaviour of orbits of forward compositions of inner functions, inspired by fundamental results about iterates of inner functions, and give e…
Escaping Fatou components with disjoint hyperbolic limit sets
Veronica Beltrami, Anna Miriam Benini, Alberto Saracco
We construct automorphisms of with a cycle of escaping Fatou components, on which there are exactly two limit functions, both of rank 1. On each such Fatou component…
Boundary dynamics for holomorphic sequences, non-autonomous dynamical systems and wandering domains
Anna Miriam Benini, Vasiliki Evdoridou, Núria Fagella +2
There are many classical results, related to the Denjoy--Wolff Theorem, concerning the relationship between orbits of interior points and orbits of boundary points under iterates o…
Dynamics of transcendental Hénon maps III: Infinite entropy
Leandro Arosio, Anna Miriam Benini, John Erik Fornæss +1
Very little is currently known about the dynamics of non-polynomial entire maps in several complex variables. The family of transcendental Hénon maps offers the potential of combin…
Invariant escaping Fatou components with two rank 1 limit functions for automorphisms of
Anna Miriam Benini, Alberto Saracco, Michela Zedda
We construct automorphisms of , and more precisely transcendental Hénon maps, with an invariant escaping Fatou component which has exactly two distinct limit function…