Artur Oscar Lopes

Artur Oscar Lopes (born 17 October 1950 in the city of Rio de Janeiro) is a Brazilian writer^[1] and mathematician working on dynamical systems and ergodic theory.^[2] He is a professor at UFRGS, Porto Alegre.^[3]

He earned his Ph.D. from the IMPA in 1977 under the supervision of Jacob Palis.^[4]

He is a recipient of Brazil's National Order of Scientific Merit in mathematics.^[5] Since 2007 he has been a member of the Brazilian Academy of Sciences.^[2]

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, 14: 45–62, March 1983, doi:10.1007/BF02584744

"The dimension spectrum of the maximal measure", SIAM Journal on Mathematical Analysis, 20 (5): 1243–1254, 1989, doi:10.1137/0520081
with G. Contreras and Ph. Thieullen: "Lyapunov minimizing measures for expanding maps of the circle", Ergodic Theory and Dynamical Systems, 21 (5): 1379–1409, October 2001, doi:10.1017/S0143385701001663, hdl:10183/27431, S2CID 37683359
"The zeta function, non-differentiability of pressure, and the critical exponent of transition", Advances in Mathematics, 101 (2): 133–165, October 1993, doi:10.1006/aima.1993.1045

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