Gustavo Rodrigues Ferreira
I am a María de Maeztu Postdoctoral Fellow at the CRM, working with Núria Fagella. I obtained my PhD at the Open University under the supervision of Phil Rippon and Gwyneth Stallard.
My research is mostly in complex dynamics, and especially in the dynamics of wandering domains of meromorphic functions. I am also interested in mathematical modelling of biological systems - especially in cell biology.
Email: grodrigues@crm.cat
Publications
Multiply connected wandering domains of meromorphic functions: the pursuit of uniform internal dynamics. Ergodic Theory and Dynamical Systems, 44:727-748 (2024). [Journal]
Symmetries of Julia sets for rational maps. Conformal Geometry and Dynamics, 27:145-160 (2023). [Journal]
A note on forward iteration of inner functions. Bulletin of the London Mathematical Society, 55:1143-1153 (2023). [Journal]
Multiply connected wandering domains of meromorphic functions: internal dynamics and connectivity. Journal of the London Mathematical Society, 106:1897-1919 (2022). [Journal]
Escaping points of commuting meromorphic functions with finitely many poles. Proceedings of the American Mathematical Society, 150:589-603 (2022). [Journal]
Principal Component Analysis: a natural approach to data exploration. ACM Computing Surveys, 54:70 (2021). [Journal]
Gene regulatory and signaling networks exhibit distinct topological distributions of motifs. Physical Review E, 97:022417 (2018). [Journal]
CEMiTool: a Bioconductor package for performing comprehensive modular co-expression analyses. BMC Bioinformatics, 19:56 (2018). [Journal]
Preprints
Parameter spaces and distortion sequences for entire functions with wandering domains. [arXiv] (with Sebastian van Strien)
Thesis
Transcendental dynamics: wandering domains of meromorphic functions. [Link]