Artur Oscar Lopes

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

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: 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

References



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