The adic realization of the Morse transformation and the extension of its action on the solenoid
classification
🧮 math.DS
math.NT
keywords
actionadicdyadicgroupmorsenumbersrealizationsolenoid
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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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