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]

Artur Oscar Lopes
Born	(1950-10-17)October 17, 1950 Rio de Janeiro, Brazil
Education	Ph.D. in Mathematics from IMPA (1977)
Occupation(s)	Writer, Mathematician
Employer(s)	UFRGS, Porto Alegre
Known for	Work on dynamical systems and ergodic theory
Notable work	Tópicos de Mecânica Clássica Cálculo Tensorial Teoria dos Corpos Equações Diferenciais Ordinárias
Awards	Brazil's National Order of Scientific Merit in mathematics

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: Freire, Alexandre; Lopes, Artur; Mañé, Ricardo (March 1983), "An invariant measure for rational maps", Bulletin of the Brazilian Mathematical Society, 14: 45–62, doi:10.1007/BF02584744

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