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Diffeomorphisms of the k-torus with wandering domains
Published online by Cambridge University Press: 14 October 2010
Abstract
It is shown that diffeomorphisms analogous to a classical example on the circle due to Denjoy can be constructed on the general k-torus. Such a diffeomorphism has the property that it is semiconjugate to an ergodic translation but has a wandering domain with dense orbit. The construction on the k-torus can be made Cr, and by a Cr small perturbation of a translation, for any r < k + 1.
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- Copyright © Cambridge University Press 1995
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