Abstract
AbstractIt is shown that diffeomorphisms analogous to a classical example on the circle due to Denjoy can be constructed on the generalk-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 thek-torus can be madeCr, and by aCrsmall perturbation of a translation, for anyr<k+ 1.
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