3 papers
math.DS2021
Achievable connectivities of Fatou components for a family of singular perturbations
Jordi Canela, Xavier Jarque, Dan Paraschiv
In this paper we study the connectivity of Fatou components for maps in a large family of singular perturbations. We prove that, for some parameters inside the family, the dynamica…
math.DS2019
Tips of Tongues in the Double Standard Family
Kuntal Banerjee, Xavier Buff, Jordi Canela +1
We answer a question raised by Misiurewicz and Rodrigues concerning the family of degree 2 circle maps defined by \[F_λ(x) := 2…
math.DS2017
Singular perturbations of Blaschke Products and connectivity of Fatou components
Jordi Canela
The goal of this paper is to study the family of singular perturbations of Blaschke products given by . We focus on the study…