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
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

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

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  • 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/BF0258474445-62&rft.date=1983-03&rft_id=info:doi/10.1007/BF02584744&rft.aulast=Freire&rft.aufirst=Alexandre&rft.au=Lopes, Artur&rft.au=Mañé, Ricardo&rfr_id=info:sid/en.wikipedia.org:Artur Oscar Lopes" class="Z3988">
  • Lopes, Artur O. (1989), "The dimension spectrum of the maximal measure", SIAM Journal on Mathematical Analysis, 20 (5): 1243–1254, doi:10.1137/05200811243-1254&rft.date=1989&rft_id=info:doi/10.1137/0520081&rft.aulast=Lopes&rft.aufirst=Artur O.&rfr_id=info:sid/en.wikipedia.org:Artur Oscar Lopes" class="Z3988">
  • 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 376833591379-1409&rft.date=2001-10&rft_id=info:hdl/10183/27431&rft_id=https://api.semanticscholar.org/CorpusID:37683359#id-name=S2CID&rft_id=info:doi/10.1017/S0143385701001663&rft.aulast=Contreras&rft.aufirst=G.&rft.au=Lopes, A. O.&rft.au=Thieullen, PH.&rfr_id=info:sid/en.wikipedia.org:Artur Oscar Lopes" class="Z3988">
  • 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.1993.1045133-165&rft.date=1993-10&rft_id=info:doi/10.1006/aima.1993.1045&rft.aulast=Lopes&rft.aufirst=A.O.&rfr_id=info:sid/en.wikipedia.org:Artur Oscar Lopes" class="Z3988">

References

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