Michael Shub

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Michael Shub, Berkeley 1990

Michael Ira Shub (born August 17, 1943 in Brooklyn ) is an American mathematician .

Life

Shub studied at Columbia College with a bachelor's degree in 1964 and at the University of California, Berkeley , where he made his master's degree in 1966 and received his doctorate in 1967 with Stephen Smale ( Endomorphisms of compact differentiable manifolds ). In 1967 he became a lecturer and then assistant professor at Brandeis University and in 1971 he became an assistant professor and in 1973 an associate professor at the University of California, Santa Cruz . From 1973 he was Associate Professor and from 1975 Professor at Queens College, City University of New York , which he remained until 1986 when he became a member of the Thomas J. Watson Research Center of IBM . He has been a professor at the University of Toronto since 2004 .

He deals with dynamic systems (where he worked with Charles C. Pugh , Stephen Smale , Morris Hirsch , among others ), chaos theory, and complexity theory in analysis (where he worked with Lenore Blum and Smale).

From 1972 to 1974 he was a Sloan Fellow . He is a fellow of the American Mathematical Society . In 2006 he was invited speaker at the International Congress of Mathematicians in Madrid ( Ordinary differential equations and dynamical systems ). In 2000 he became a Fellow of the American Association for the Advancement of Science .

Fonts

  • with Charles Pugh Omega Stability Theorem for Flows , Inventiones Math. Volume 11, 1970, 150-158, online at DigiZeitschriften .
  • with Morris Hirsch, Pugh Invariant Manifolds , Bulletin of the AMS, September 1970, 1015-1019
  • with Hirsch, Pugh Invariant Manifolds , Lecture Notes in Mathematics 583, Springer Verlag 1977
  • with Pugh Ergodicity of Anosov Actions , Inventiones Math., Volume 15, 1972, 1-23
  • Structurally Stable Diffeomorphisms are Dense, Bulletin of the AMS, September 1972, 817-818.
  • with Smale Beyond Hyperbolicity , Annals of Mathematics, Volume 96, 1972, pp. 587-591.
  • with Dennis Sullivan Homology Theory and Dynamical Systems , Topology, Volume 14, 1975, pp. 109--132
  • with Zbigniew Nitecki Filtrations, decompositions and explosions , Amer. J. Math. 97 (1976) 1029-1047
  • with Pugh Axiom A actions , Inventiones Mathematicae, Volume 29, 1974, pp. 7-38.
  • with M. Grayson, Pugh Stably ergodic diffeomorhisms , Annals of Math, Volume 140, 1994, pp. 295-329.
  • with Lenore Blum , F. Cucker, S. Smale Complexity and real computation , Springer Verlag 1998
  • with Blum, Smale On a Theory of Computation Over the Real Numbers; NP Completeness, Recursive Functions and Universal Machines , Bulletin of the AMS, Volume 21, 1989, pp. 1-46

See also

Web links

Individual evidence

  1. ↑ Life data according to American Men and Women of Science , Thomson Gale 2004
  2. ^ Mathematics Genealogy Project
personal data
SURNAME Shub, Michael
ALTERNATIVE NAMES Shub, Michael Ira (full name)
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH August 17, 1943
PLACE OF BIRTH Brooklyn