Limited scope adic transformations

Sarah Bailey Frick

doi:10.3934/dcdss.2009.2.269

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2009, Volume 2, Issue 2: 269-285. Doi: 10.3934/dcdss.2009.2.269

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Limited scope adic transformations

Sarah Bailey Frick^1,

1.
Mathematics Department, The Ohio State University, 231 W 18th Avenue, Columbus, OH 43210

Received: January 31, 2008

Revised: November 30, 2008

Published: May 2009

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Abstract

We introduce a family of adic transformations on diagrams that are nonstationary and nonsimple. This family includes some previously studied adic transformations such as the Pascal and Euler adic transformations. We give examples of particular adic transformations with roots of unity and we show as well that the Euler adic is totally ergodic. We show that the Euler adic and a disjoint subfamily of adic transformations are loosely Bernoulli.

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Mathematics Subject Classification: Primary: 37A05, 28D05; Secondary: 37B10.

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