A. M. Vershik, B. Solomyak, “The adic realization of the Morse transformation and the extension of its action to the solenoid”, Zap. Nauchn. Sem. POMI, 2008, Volume 360,Pages <nobr>70

This article is cited in 4 papers

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

A. M. Vershik^a, B. Solomyak^b

^a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
^b Department of Mathematics, University of Washington

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. Bibl. – 14 titles.

UDC: 517.987+511

Received: 21.11.2008