Nonstandard Smooth Realizations of Liouville Rotations

2006/08/14 by Fayad, Bassam, Saprykina, Maria, Windsor, Alistair · 1 citation
#37C40 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0608322

Abstract

We augment the method of C^∞ conjugation approximation with explicit estimates on the conjugacy map. This allows us to construct ergodic volume preserving diffeomorphisms measure-theoretically isomorphic to any apriori given Liouville rotation on a variety of manifolds. In the special case of tori the maps can be made uniquely ergodic.

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