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

Published online by Cambridge University Press:  28 December 2015

SHILPAK BANERJEE
SHILPAK BANERJEE*
Affiliation:
Department of Mathematics, Pennsylvania State University, McAllister Building, University Park, Pennsylvania, 16802, USA email [email protected]
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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 37 , Issue 5 , August 2017 , pp. 1369 - 1386
Copyright
© Cambridge University Press, 2015 

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