June  2009, 2(2): 269-285. doi: 10.3934/dcdss.2009.2.269

Limited scope adic transformations

1. 

Mathematics Department, The Ohio State University, 231 W 18th Avenue, Columbus, OH 43210, United States

Received  February 2008 Revised  December 2008 Published  April 2009

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.
Citation: Sarah Bailey Frick. Limited scope adic transformations. Discrete & Continuous Dynamical Systems - S, 2009, 2 (2) : 269-285. doi: 10.3934/dcdss.2009.2.269
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