Zbigniew Nitecki

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Zbigniew H. Nitecki (born May 12, 1946 in Plymouth ) is an American mathematician .

Nitecki went to school in Chicago and studied mathematics at the University of Chicago with a bachelor's degree in 1962 and at the University of California, Berkeley , with a master's degree in 1967 and a doctorate with Stephen Smale in 1969 ( The orbit structure of endomorphisms ). As a post-graduate student , he was a Gibbs instructor at Yale University until 1971 . In 1971 he became an assistant professor at the City College of New York and in 1972 at Tufts University , where he became an associate professor in 1975 and a professor in 1980.

Among other things, he was visiting scholar at the University of Göttingen , IHES , the University of Warwick and the University of Nice.

He deals with dynamic systems (especially in the one and two dimensions), theory of braids, combinatorial and geometric group theory, graph theory and cellular automata.

He has been a US citizen since 1956.

Fonts

  • On semi-stability for diffeomorphisms, Inventiones math. 14 (1970) 83-122
  • Differentiable Dynamics: an Introduction to the Orbit Structure of Diffeomorphisms, MIT Press 1971
  • with Michael Shub : Filtrations, decompositions and explosions, Amer. J. Math. 97 (1976) 1029-1047
  • Explosions in completely unstable flows, Trans. Amer. Math. Soc. 245 (1978) 43-88
  • with Robert Devaney : Shift automorphisms in the Henon mapping, Commun. Math. Phys. 67 (1979) 137-146
  • with E. Coven: Non-wandering sets of the powers of maps of the interval, Ergodic Theory & Dyn. Syst. 1 (1980) 9-31
  • Recurrent structure of completely unstable flows on surfaces of finite Euler characteristic, Amer. J. Math. 103 (1981) 143-180
  • with J. Kotus, M. Krych: Global structural stability of flows on open surfaces, Memoirs Amer. Math. Soc., Volume 37, 1982
  • Topological dynamics on the interval, in Anatole Katok (Ed.) Ergodic Theory and Dynamical Systems II , Birkhäuser 1982, pp. 1-73
  • with M. Guterman: Differential Equations --- A First Course, Saunders College Publ., 1984, 3rd edition 1992
  • with Michał Misiurewicz : Combinatorial patterns for maps of the interval, Memoirs Amer. Math. Soc., Volume 94, 1991.
  • with D. Benardete, M. Gutierrez: Braids and the Nielsen-Thurston classification, J. Knot Theory and its Ramifications 4 (1995) 549-618
  • with F. Przytycki: Preimage entropy of mappings, Int. J. Bifurcation & Chaos, 9 (1999), 1815-1844
  • with X. Jarque: Hamiltonian stability in the plane, Ergodic Theory & Dyn. Syst. 20: 775-799 (2000)

Web links

Individual evidence

  1. ↑ Called Ziggy Nitecki
  2. ^ Mathematics Genealogy Project
personal data
SURNAME Nitecki, Zbigniew
ALTERNATIVE NAMES Nitecki, Zbigniew H.
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH May 12, 1946
PLACE OF BIRTH Plymouth