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20172023
most citedPrincipal Component Analysis: A Natural Approach to Data Exploration

509 citations · 511 across the 5 of their papers we have counts for

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math.DS2023

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…

math.DS2020

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 …

math.DS2019

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…