Artur Oscar Lopes
Artur Oscar Lopes is a Brazilian mathematician working on dynamical systems and ergodic theory. He is a professor at UFRGS, Porto Alegre.
He earned his Ph.D. from the IMPA in 1977 under the supervision of Jacob Palis.
He is a recipient of Brazil's National Order of Scientific Merit in mathematics. Since 2007 he has been a member of the Brazilian Academy of Sciences.
He is the author of the textbooks Tópicos de Mecânica Clássica, Cálculo Tensorial, Teoria dos Corpos, and Equações Diferenciais Ordinárias.Selected publications
- with A. Freire and R. Mañé: "An invariant measure for rational maps", Bulletin of the Brazilian Mathematical Society, 1983.
- "The dimension spectrum of the maximal measure", SIAM Journal of Mathematical Analysis, 1989.
- with G. Contreras and P. Thieullen: "Lyapunov minimizing measures for expanding maps of the circle", Ergodic Theory and Dynamical Systems, 2001.
- "The zeta function, non-differentiability of pressure, and the critical exponent of transition", Advances in Mathematics, 101, pp. 133–165, 1993.
