activity
20212025
most citedA note on forward iteration of inner functions

4 citations · 8 across the 6 of their papers we have counts for

collaborators

6 papers

math.DS2025

Baker domains and orbits disappearing to infinity

Gustavo R. Ferreira

We study attracting orbits escaping to infinity in natural families of transcendental entire functions. We show that, if an attracting fixed point escapes to infinity while its mul…

math.DS2025

Teichmüller spaces and normal forms associated to wandering domains

Núria Fagella, Gustavo R. Ferreira, Leticia Pardo-Simón

We study the dynamical Teichmüller space associated to a wandering domain of an entire function . We show that a discrete grand orbit relation in for…

math.DS2024★ 3 cited

Mixing and ergodicity of compositions of inner functions

Gustavo Rodrigues Ferreira, Artur Nicolau

We study ergodic and mixing properties of non-autonomous dynamics on the unit circle generated by inner functions fixing the origin.

math.DS2024

Classifying multiply connected wandering domains

Gustavo Rodrigues Ferreira, Lasse Rempe

We study the internal dynamics of multiply connected wandering domains of meromorphic functions. We do so by considering the sequence of injectivity radii along the orbit of a base…

math.CV2022★ 4 cited

A note on forward iteration of inner functions

Gustavo Rodrigues Ferreira

A well-known problem in holomorphic dynamics is to obtain Denjoy--Wolff-type results for compositions of self-maps of the unit disc. Here, we tackle the particular case of inner fu…

math.DS2021★ 1 cited

Multiply connected wandering domains of meromorphic functions: the pursuit of uniform internal dynamics

Gustavo Rodrigues Ferreira

Recently, Benini et al. showed that, in simply connected wandering domains of entire functions, all pairs of orbits behave in the same way relative to the hyperbolic metric, thus g…