The adic realization of the Morse transformation and the extension of its action on the solenoid

Details The adic realization of the Morse transformation and the extension of its action on the solenoid The adic realization of the Morse transformation and the extension of its action on the solenoid

2008-11-20

arxiv.org/abs/0811.3324v1

Mathematics

Dynamical Systems

18 pp, 13 Ref

Scientific paper

We consider the adic realization of the Morse transformation on the additive
group of integer dyadic numbers. We discuss the arithmetic properties of that
action. Then we extend that action to the action of the group of rational
dyadic numbers on the solenoid.

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