Michael Herman (mathematician)

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

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

Herman was known for his work on the linearization of diffeomorphisms of the circle, examined invariant curves of twist diffeomorphisms, problems of "small denominators " (Small divisor ), construction of invariant tori in quasi-periodic motion. In the complex dynamics of the Herman ring (also called Arnold- Herman ring) named after him.

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

His PhD is one of the Field medalist Jean -Christophe Yoccoz.

Writings

• Herman: Sur le group of diffeomorphismes you gates, Colloque boarding. CNRS, Strasbourg 1972, Annales Inst.Fourier Bd.23, 1973, p.75 -86,
• Herman: Sur le groupe of diffeomorphismes you R- analytiques gates, Proc.Colloq. Dijon 1974, Lecture Notes in Mathematics, Bd.484, Springer, 1975, p.43 -49
• Albert Fathi, Herman, Jean -Christophe Yoccoz (Editor): " Dynamical Systems " (Michael Herman Memorial Volume), Cambridge University Press, London Mathematical Society Student Series, 2006
• Herman "Some open problems in dynamical systems ", ICM 1998