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Removing zero Lyapunov exponents. (English) Zbl 1048.37026
Motivated by M. Shub and A. Wilkinson’s result [Invent. Math. 139, 495–508 (2000; Zbl 0976.37013)] for an explicit family of partially hyperbolic diffeomorphisms of the torus \(T^3\) in perturbing the Lyapunov exponents of the center direction, the authors present a local version of their arguments, allowing one to perturb the center Lyapunov exponents of any partially hyperbolic system, in any dimension and with arbitrary dimension of the center bundle.

MSC:
37D30 Partially hyperbolic systems and dominated splittings
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