Sheldon Newhouse

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Sheldon E. Newhouse (born December 11, 1942 in Wyoming ) is an American mathematician who deals with dynamic systems.

Sheldon Newhouse

Newhouse received his PhD in 1969 from Stephen Smale at the University of California, Berkeley ( On Generic Properties of Differentiable Automorphisms of 2-Sphere ). He was a professor at the University of North Carolina at Chapel Hill and is a professor at Michigan State University .

In 1974 he discovered a new phenomenon, today named after him, in the theory of dynamic systems and at the same time refuted a conjecture by Stephen Smale : he demonstrated the existence of an infinite number of attractors ( sinks ) for a residual set in the space of the (with ) diffeomorphisms of compact surfaces. The construction was based on the existence of homoclinic tangents (that is, non-transverse intersections of the stable and unstable manifolds of a periodic point).

He was invited speaker at the 1990 International Congress of Mathematicians in Kyoto ( Entropy in smooth dynamical systems ).

In 2017 he retired.

Fonts

  • with Jürgen Moser , John Guckenheimer Dynamical Systems (CIME Lectures Bressanone 1978) , Birkhäuser 1980 (therein by Newhouse, Lectures on dynamical systems, pp. 1–114)
  • with Jacob Palis , Floris Takens Bifurcations and stability of families of diffeomorphisms , Publications Mathématiques de l'IHÉS, Volume 57, 1983, pp. 1-71
  • with Jacob Palis: Bifurcations of Morse-Smale dynamical systems, in M. Peixoto, Dynamical Systems, Academic Press 1973, pp. 303-366
  • with Francois Ledrappier, Jorge Lewowicz International Conference on Dynamical Systems, Montevideo 1995 , Longman 1996
  • with Palis Cycles and Bifurcations Theory , Asterisque 31, Societe Mathematique de France, 1976, 44-140.
  • Diffeomorphisms with infinitely many sinks, Topology, Volume 13, 1974, pp. 9-18
  • The abundance of wild hyperbolic sets and non-smooth stable sets of diffeomorphisms, Pub. Math. IHES, Vol. 50, 1979, pp. 102-151

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
personal data
SURNAME Newhouse, Sheldon
ALTERNATIVE NAMES Newhouse, Sheldon E.
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH December 11, 1942
PLACE OF BIRTH Wyoming