Michael Herman

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Michael Robert Herman (born November 6, 1942 in New York , † November 2, 2000 in Paris ) was a French mathematician who dealt with dynamic systems.

Herman went to school in France and studied at the École polytechnique with Laurent Schwartz . He received his doctorate in 1976 from the University of Paris-Süd (Univ. Paris XI) in Orsay with Harold Rosenberg ( Sur la conjugaison differentiable des diffeomorphismes du cercle a des rotations ). Herman led a well-known seminar on dynamic systems in Paris at the École Polytechnique and was co-founder and editor of the magazine "Ergodic Theory and Dynamical Systems".

Herman became known for his work on the linearization of diffeomorphisms of the circle, examined invariant curves of twist diffeomorphisms, problems of the "small denominators" (small divisors), construction of invariant tori in quasiperiodic motion. In the Complex Dynamics, the Hermanring (also known as the Arnold -Herman-Ring) is named after him.

He was invited speaker at the International Congress of Mathematicians (ICM) in Helsinki in 1978 ( Resultats recents sur la conjugaison differentiable ) and in Berlin in 1998 ( Some open problems in dynamical systems ). In 1976 he received the Salem Prize .

Field medal winner Jean-Christophe Yoccoz is one of his doctoral students .

Fonts

  • Herman: Sur le group des diffeomorphismes du tore, Colloque Internat. CNRS, Strasbourg 1972, Annales Inst. Fourier Vol. 23, 1973, pp. 75-86,
  • Herman: Sur le groupe des diffeomorphismes R-analytiques du tore, Proc. Colloq. Dijon 1974, Lecturesnotes in Mathematics, Vol. 484, Springer 1975, pp. 43-49
  • Albert Fathi , Herman, Jean-Christophe Yoccoz (Editors): “Dynamical Systems” (Michael Herman Memorial Volume), Cambridge University Press, London Mathematical Society Student Series, 2006
  • Herman "Some open problems in dynamical systems", ICM 1998

Web links

Individual evidence

  1. ^ List of members of the French Academy of Sciences