5 papers
Holomorphic motions, natural families of entire maps, and multiplier-like objects for wandering domains
Gustavo R. Ferreira, Sebastian van Strien
Structural stability of holomorphic functions has been the subject of much research in the last fifty years. Due to various technicalities, however, most of that work has focused o…
Escaping points of commuting meromorphic functions with finitely many poles
Gustavo Rodrigues Ferreira
Let and be commuting meromorphic functions with finitely many poles. By studying the behaviour of Fatou components under this commuting relation, we prove that and …
Symmetries for Julia sets of rational maps
Gustavo Rodrigues Ferreira
Since the 1980s, much progress has been done in completely determining which functions share a Julia set. The polynomial case was completely solved in 1995, and it was shown that t…
Principal Component Analysis: A Natural Approach to Data Exploration
Felipe L. Gewers, Gustavo R. Ferreira, Henrique F. de Arruda +4
Principal component analysis (PCA) is often used for analyzing data in the most diverse areas. In this work, we report an integrated approach to several theoretical and practical a…
Gene regulatory and signalling networks exhibit distinct topological distributions of motifs
Gustavo Rodrigues Ferreira, Helder Imoto Nakaya, Luciano da Fontoura Costa
The biological processes of cellular decision making and differentiation involve a plethora of signalling pathways and gene regulatory circuits. These networks, in their turn, exhi…