Non-standard real-analytic realizations of some rotations of the circle

Author:

BANERJEE SHILPAK

Abstract

We extend some aspects of the smooth approximation by conjugation method to the real-analytic set-up, and create examples of zero entropy, uniquely ergodic, real-analytic diffeomorphisms of the two-dimensional torus that are metrically isomorphic to some (Liouvillian) irrational rotations of the circle.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

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