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Transformations With Discrete Spectrum are Stacking Transformations

Published online by Cambridge University Press:  20 November 2018

Andrés Del Junco*
Affiliation:
University of British Columbia, Vancouver, British Columbia
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The stacking method (see [1] and [5, Section 6]) has been used with great success in ergodic theory to construct a wide variety of examples of ergodic transformations (see, for example, [1 ; 3 ; 4; 5; 7]). However very little is known in general about the class of transformations which can be constructed by the stacking method using single stacks. In particular there is no simple characterization of the class .

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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1976