Michael Benedicks

Michael Benedicks (* 1949 ) is a Swedish mathematician who studies analysis and dynamic systems. He is a professor at the Royal Stockholm University of Technology .

Benedicks received his doctorate from Harold Shapiro at the Royal Technical University of Stockholm in 1980 ( 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 a professor at the Royal Technical University.

With Lennart Carleson in 1991 he showed the existence of strange attractors in the Hénon image . From the analysis of the difficult proof, Benedicks, Quidong Wang and Lai-Sang Young developed the theory of chaotic rank 1 attractors.

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).

Fonts

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, pp. 375-434
with L.-S. Young Sinai-Bowen-Ruell measure for certain Hénon maps , Invent. Math., Vol. 112, 1993, pp. 541-576
with L.-S. Young Markov extensions and decay of correlations for certain Hénon maps , Asterisque, 1999

^ Mathematics Genealogy Project
↑ Benedicks, Carleson The dynamics of the Hénon Map , Annals of Mathematics, Vol. 133, 1991, pp. 73-169
↑ Wang Rank One Chaos , Scholarpedia