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Centralizers of partially hyperbolic diffeomorphisms

Published online by Cambridge University Press:  02 February 2004

LIZZIE BURSLEM
LIZZIE BURSLEM
Affiliation:
University of Michigan, Ann Arbor, MI 48109-1109, USA (e-mail: burslem@umich.edu)
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Abstract

It has been conjectured that a generic diffeomorphism on a compact manifold will have trivial centralizer. In this paper we show that the conjecture is true within certain classes of partially hyperbolic diffeomorphisms.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 24 , Issue 1 , February 2004 , pp. 55 - 87
Copyright
2004 Cambridge University Press

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