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

A. M. Vershik; B. Solomyak

doi:10.1007/s10958-009-9414-2

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

A. M. Vershik, B. Solomyak

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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

Original language	English
Pages (from-to)	809-818
Number of pages	10
Journal	Journal of Mathematical Sciences
Volume	158
Issue number	6
DOIs	https://doi.org/10.1007/s10958-009-9414-2
State	Published - May 2009
Externally published	Yes

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abstract = "We consider the adic realization of the Morse transformation on the additive group of integer dyadic numbers. We discuss the arithmetic properties of this action. Then we extend this action to an action of the group of rational dyadic numbers on the solenoid.",

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

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