Michael Benedicks

Michael Benedicks (* 1949) is a Swedish mathematician who deals with analysis and dynamical systems. He is a professor at the Royal Institute of Technology in Stockholm.

Benedicks in 1980 received his doctorate in Harold Shapiro at the Royal Institute of Technology Stockholm ( Support of Fourier transform pairs and related problems on positive harmonic functions). In 1989 he was at the Institute for Advanced Study. In 1991 he became professor at the Royal Institute of Technology.

With Lennart Carleson, he showed the existence of strange attractors in 1991 at the Hénon map. From the analysis of the difficult proof was created by Benedicks, Quidong Wang and Lai -Sang Young, the theory of chaotic attractors Rank 1.

In 2007 he became a member of the Royal Swedish Academy of Sciences. In 2002 he was invited speaker at the International Congress of Mathematicians in Beijing (Non- Uniformly hyperbolic dynamics: Hénon maps and related dynamical systems ).

Writings

  • With Carleson On iterations of 1 - ax2 on ( -1,1 ), Annals of Mathematics, Volume 122, 1985, pp. 1-25.
  • With Carleson The dynamics of the Hénon map, Annals of Mathematics, Volume 133, 1991, pp. 73-169
  • With Marcelo Viana Solution of the basin problem- for Hénon attractors, Inventiones Mathematicae, Volume 143, 2001, S.375 -434
  • With L.-S. Young Sinai - Bowen - Ruell measure for certain Hénon maps, Invent. Math, Volume 112, 1993, pp. 541-576
  • With L.-S. Young Markov extensions and decay of correlations for certain Hénon maps, astérisque, 1999
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