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Artur Oscar Lopes : ウィキペディア英語版 | Artur Oscar Lopes Artur Oscar Lopes (born 17 October 1950 in the city of Rio de Janeiro) is a Brazilian mathematician working on dynamical systems and ergodic theory.〔(Academia Brasileira de Ciências – Artur Oscar Lopes )〕 He is a professor at UFRGS, Porto Alegre.〔http://mat.ufrgs.br/~alopes/〕 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.〔(【引用サイトリンク】title=Portal do Ministério da Ciência, Tecnologia e Inovação )〕 Since 2007 he has been a member of the Brazilian Academy of Sciences.〔 He is the author of the textbooks ', ', ', and '. == 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.
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