Welington de Melo

Welington Celso de Melo ( born November 17, 1946 in Guape, Minas Gerais ) is a Brazilian mathematician who deals with dynamical systems (especially one-dimensional dynamical systems )

De Melo made ​​1969 his degree in electrical engineering at the State University of Minas Gerais and in 1972 at IMPA at Jacob Palis PhD (Structural stability of diffeomorphisms of 2 - manifolds ). As a post - graduate student he was at the University of Warwick. In 1974 he became an assistant professor and in 1980 he received a full professorship at IMPA.

He has been a visiting scientist at the University of California, Berkeley, at the ICTP in Trieste, at the University of Paris-Sud, at the IHES, the University of Lille, Lyon University, the City University of New York, the State University of New York at Stony Brook, at the Royal Institute of Technology Stockholm, the University of Porto, at the Center Lorentz in Leiden and Delft University of Technology.

With Marco Martens and Sebastian van Strien 1992 he gave a full description of the topological behavior of one-dimensional real dynamical systems. They showed that even there the Julia - Fatou - Sullivan theory of holomorphic dynamics is applicable.

In 1991 he became a member of the Brazilian Academy of Sciences. In 1998 he was invited speaker at the International Congress of Mathematicians in Berlin ( Rigidity and Renormalization in one dimensional dynamical systems ). In 2002 he was awarded the Gran Cruz da Ordem Nacional do Merito Cientifico by the Brazilian president after he was already in 1996 became Commander of the Order. In 2004 he became a member of the Third World Academy of Sciences, the mathematics prize he received in 2003.

His doctoral Artur Avila belongs.

Writings

  • Jacob Palis Introduction to Dynamical Systems (Brazilian), Edgar Blucher 1978
  • With Palis Geometric theory of dynamical systems, Springer Verlag 1980, 1982 ( also published in Russian and Chinese translation )
  • Sebastian van Strien with one dimensional dynamics, Springer Verlag 1993
  • Edson de Faria with One dimensional dynamics -the mathematical tools, Cambridge University Press 2008
  • Edson de Faria with Mathematical aspects of quantum field theory, Cambridge University Press 2010
  • With Marco Martens, van Strien, Julia - Fatou Sebastina - Sullivan theory for real one - dimensional dynamics, Acta Mathematica, Volume 168, 1992, pp. 273-318
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