A mathematician focusing on ergodic theory and dynamical systems, he built an academic career within Brazil. His research contributions span several decades, influencing the mathematical landscape through both theoretical investigation and the authorship of technical pedagogical materials for students.
Academic Foundation
Lopes received his doctoral degree in 1977 from the Instituto Nacional de Matemática Pura e Aplicada. His research for this qualification was completed under the guidance of supervisor Jacob Palis. This training at IMPA provided the basis for his subsequent career as a professor at UFRGS, located in Porto Alegre.
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His mathematical inquiry focuses on dynamical systems. In 1983, he collaborated with Alexandre Freire and Ricardo Mañé to publish findings on invariant measures for rational maps in the Bulletin of the Brazilian Mathematical Society. Additional publications include investigations into the dimension spectrum of maximal measures, Lyapunov minimizing measures for expanding maps of the circle, and the zeta function, specifically addressing the non-differentiability of pressure.
Educational Literature
Beyond peer-reviewed journal articles, Lopes authored several textbooks written in Portuguese. These volumes include Tópicos de Mecânica Clássica, Cálculo Tensorial, Teoria dos Corpos, and Equações Diferenciais Ordinárias. These works serve as resources for students engaged in the study of classical mechanics, tensor calculus, field theory, and ordinary differential equations.
Professional Recognition
The Brazilian government recognized his contributions to the field by awarding him the National Order of Scientific Merit. In 2007, his status within the scientific community was further acknowledged through his induction as a member of the Brazilian Academy of Sciences.
Fast facts
- Born: 17 October 1950, Rio de Janeiro
- Citizenship: Brazil
- Primary field: Dynamical systems
- Doctoral supervisor: Jacob Palis
- Award: National Order of Scientific Merit
- Academy membership: Brazilian Academy of Sciences
- Primary language: Portuguese
Questions readers ask
Where did Artur Oscar Lopes complete his Ph.D.?
He earned his Ph.D. from the Instituto Nacional de Matemática Pura e Aplicada in 1977.
What specific subjects are covered in his textbooks?
His books cover classical mechanics, tensor calculus, field theory, and ordinary differential equations.
Achievements
- National Order of Scientific Merit
- Fields: dynamical system
